標(biāo)題: Titlebook: Introduction to Plane Algebraic Curves; Ernst Kunz Textbook 2005 Birkh?user Boston 2005 Algebraic curve.Belshoff.Kunz.algebra.computer alg [打印本頁] 作者: 海市蜃樓 時(shí)間: 2025-3-21 17:21
書目名稱Introduction to Plane Algebraic Curves影響因子(影響力)
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書目名稱Introduction to Plane Algebraic Curves網(wǎng)絡(luò)公開度學(xué)科排名
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書目名稱Introduction to Plane Algebraic Curves被引頻次學(xué)科排名
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書目名稱Introduction to Plane Algebraic Curves讀者反饋學(xué)科排名
作者: forthy 時(shí)間: 2025-3-21 20:44 作者: 漂白 時(shí)間: 2025-3-22 02:55
erstanding of neural system function.Explores 50 subject areThe annual Computational Neuroscience Meeting (CNS) began in 1990 as a small workshop called Analysis and Modeling of Neural Systems. The goal of the workshop was to explore the boundary between neuroscience and computation. Riding on the s作者: 美學(xué) 時(shí)間: 2025-3-22 05:21
erstanding of neural system function.Explores 50 subject areThe annual Computational Neuroscience Meeting (CNS) began in 1990 as a small workshop called Analysis and Modeling of Neural Systems. The goal of the workshop was to explore the boundary between neuroscience and computation. Riding on the s作者: 衰老 時(shí)間: 2025-3-22 12:04 作者: BUOY 時(shí)間: 2025-3-22 13:44
erstanding of neural system function.Explores 50 subject areThe annual Computational Neuroscience Meeting (CNS) began in 1990 as a small workshop called Analysis and Modeling of Neural Systems. The goal of the workshop was to explore the boundary between neuroscience and computation. Riding on the s作者: 使隔離 時(shí)間: 2025-3-22 18:24 作者: 盡管 時(shí)間: 2025-3-22 23:45 作者: BUCK 時(shí)間: 2025-3-23 02:24
erstanding of neural system function.Explores 50 subject areThe annual Computational Neuroscience Meeting (CNS) began in 1990 as a small workshop called Analysis and Modeling of Neural Systems. The goal of the workshop was to explore the boundary between neuroscience and computation. Riding on the s作者: 清楚 時(shí)間: 2025-3-23 09:01 作者: epicondylitis 時(shí)間: 2025-3-23 11:55 作者: 眉毛 時(shí)間: 2025-3-23 14:58
erstanding of neural system function.Explores 50 subject areThe annual Computational Neuroscience Meeting (CNS) began in 1990 as a small workshop called Analysis and Modeling of Neural Systems. The goal of the workshop was to explore the boundary between neuroscience and computation. Riding on the s作者: emulsify 時(shí)間: 2025-3-23 19:52
erstanding of neural system function.Explores 50 subject areThe annual Computational Neuroscience Meeting (CNS) began in 1990 as a small workshop called Analysis and Modeling of Neural Systems. The goal of the workshop was to explore the boundary between neuroscience and computation. Riding on the s作者: 潔凈 時(shí)間: 2025-3-23 23:03
erstanding of neural system function.Explores 50 subject areThe annual Computational Neuroscience Meeting (CNS) began in 1990 as a small workshop called Analysis and Modeling of Neural Systems. The goal of the workshop was to explore the boundary between neuroscience and computation. Riding on the s作者: MAL 時(shí)間: 2025-3-24 04:15 作者: EWE 時(shí)間: 2025-3-24 09:42
erstanding of neural system function.Explores 50 subject areThe annual Computational Neuroscience Meeting (CNS) began in 1990 as a small workshop called Analysis and Modeling of Neural Systems. The goal of the workshop was to explore the boundary between neuroscience and computation. Riding on the s作者: 小淡水魚 時(shí)間: 2025-3-24 10:46 作者: 沙草紙 時(shí)間: 2025-3-24 15:01
erstanding of neural system function.Explores 50 subject are.The annual Computational Neuroscience Meeting (CNS) began in 1990 as a small workshop called Analysis and Modeling of Neural Systems. The goal of the workshop was to explore the boundary between neuroscience and computation. Riding on the 作者: CLEAR 時(shí)間: 2025-3-24 23:05 作者: deviate 時(shí)間: 2025-3-24 23:47
erstanding of neural system function.Explores 50 subject are.The annual Computational Neuroscience Meeting (CNS) began in 1990 as a small workshop called Analysis and Modeling of Neural Systems. The goal of the workshop was to explore the boundary between neuroscience and computation. Riding on the 作者: 分離 時(shí)間: 2025-3-25 04:58 作者: TAIN 時(shí)間: 2025-3-25 08:57
Regular and Singular Points of Algebraic Curves. Tangentsmultiplicity” that indicates how many times it has to be counted as a point of the curve. The “tangents” of a curve will also be explained.One can decide whether a point is simple or singular with the help of the local ring at the point.The facts from Appendix E on Noetherian rings and discrete valu作者: 2否定 時(shí)間: 2025-3-25 12:28
Rational Maps. Parametric Representations of Curves birational equivalence by rational maps.It will also be shown that a curve is rational precisely when it has a “parametric representation.” This chapter depends on Chapter 4, but it also uses parts of Chapter 6.作者: 使厭惡 時(shí)間: 2025-3-25 19:33
Elliptic Curveshmetic (Husem?ller [Hus], Lang [L], Silverman [S.], [S.]). On the role of elliptic curves in cryptography, see Koblitz [K] and Washington [W]. After choosing a point O,an elliptic curve may be given a group structure using a geometric construction. We first concern ourselves with this construction. 作者: Pruritus 時(shí)間: 2025-3-25 23:40
Residue Calculusential form ω =.). They generalize the intersection multiplicity of two curves in a certain sense, and they contain more precise information about the intersection behavior. The elementary and purely algebraic construction of the residue that we present here is based on Appendix H and goes back to S作者: 后退 時(shí)間: 2025-3-26 04:02
Applications of Residue Theory to Curvesion theory of plane curves. Maybe B. Segre [.] was the first who proceeded in a way similar to ours, but he used another concept of residue, the residue of differentials on a smooth curve. See also Griffiths-Harris [.], Chapter V. The theorems presented here have far-reaching higher-dimensional gene作者: 致命 時(shí)間: 2025-3-26 06:26
The Riemann-Roch Theoremrs at the points on the curves (or on the abstract Riemann surface ). Using the methods of Appendix L we will derive two versions of the Riemann-Roch theorem, one for the curve itself and one for its Riemann surface (its function field). The theorem leads to an important birational invariant of irre作者: Moderate 時(shí)間: 2025-3-26 11:49 作者: 成績上升 時(shí)間: 2025-3-26 14:11
The Branches of a Curve Singularityof decomposing curves into “analytic” branches “in a neighborhood” of a singularity,and thereby allowing us to analyze them more precisely. Also, a similar theory will be discussed for curves over an arbitrary algebraically closed field.作者: Germinate 時(shí)間: 2025-3-26 19:09
Conductor and Value Semigroup of a Curve Singularity“ranches,” and “intersection multiplicity between the branches,” to the conductor and value semigroup. This will allow a more precise classification of curve singularities than was possible up to now. Also, we will be led to other formulas for calculating the genus of the function field of a curve.作者: defendant 時(shí)間: 2025-3-26 22:51
nt departure from other works on plane algebraic curves in w.This work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the student only a basic knowledge of algebra, with all of the algebraic facts collected into several appendices that can be easily referr作者: Infusion 時(shí)間: 2025-3-27 01:59 作者: 消毒 時(shí)間: 2025-3-27 08:47
Regular and Singular Points of Algebraic Curves. Tangentside whether a point is simple or singular with the help of the local ring at the point.The facts from Appendix E on Noetherian rings and discrete valuation rings will play a role in this chapter.Toward the end, some theorems from Appendix F on integral ring extensions wil l al so be needed.作者: 使痛苦 時(shí)間: 2025-3-27 09:33 作者: 清楚 時(shí)間: 2025-3-27 16:41
Applications of Residue Theory to Curvesue of differentials on a smooth curve. See also Griffiths-Harris [.], Chapter V. The theorems presented here have far-reaching higher-dimensional generalizations ([.],[.], [.],[.], [.]). In his thesis [.] Gerhard Quarg has discovered further global geometric applications of algebraic residue theory. [.] contains an outline of part of this thesis.作者: companion 時(shí)間: 2025-3-27 20:24
The Riemann-Roch Theoremtheorem, one for the curve itself and one for its Riemann surface (its function field). The theorem leads to an important birational invariant of irreducible curves, namely the genus of the associated function held. An excellent presentation of the corresponding complex-analytic theory is given by Forst er [.].作者: 恭維 時(shí)間: 2025-3-28 00:58
Residue Calculusion as here. What we are talking about is sometimes called Grothendieck residue theory. It was originally introduced in [.], Chapter 3, §9, in great generality. For different approaches, see also [.] and [.]. Chapters 11 and 12 will not be used in Chapter 13 and later. The reader may go directly from here to the Riemann-Roch theorem.作者: 腐爛 時(shí)間: 2025-3-28 02:58 作者: 從屬 時(shí)間: 2025-3-28 07:57
The Coordinate Ring of an Algebraic Curve and the Intersections of Two CurvesFrom now on, we assume that the reader is familiar with the material in Appendices A and B. Above all,we will use the methods contained in Appendix B repeatedly. We will also apply the elementary Lemmas D.5 and I.4.作者: 騷動 時(shí)間: 2025-3-28 14:26 作者: 知識分子 時(shí)間: 2025-3-28 16:03
More on Intersection Theory. ApplicationsIn the last section we introduced the multiplicity of a point on an algebraic curve. Using multiplicities we can make more precise statements about the nature of the intersections of two curves than was possible so far.We will also present some further applications of Bézout’s theorem.作者: 較早 時(shí)間: 2025-3-28 22:31
Polars and Hessians of Algebraic CurvesThe study of the tangents to an algebraic curve is continued in this chapter. We are concerned with the question of how many tangents of an algebraic curve can pass through a given point of the plane.We also investigate the “flex tangents,”the tangent lines at in inflection points.作者: 無孔 時(shí)間: 2025-3-28 23:15 作者: 織物 時(shí)間: 2025-3-29 04:35
https://doi.org/10.1007/0-8176-4443-1Algebraic curve; Belshoff; Kunz; algebra; computer algebra; ksa; ring theory作者: Bombast 時(shí)間: 2025-3-29 10:43
978-0-8176-4381-2Birkh?user Boston 2005作者: abracadabra 時(shí)間: 2025-3-29 14:12
Ernst KunzEmploys proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in w作者: 大方一點(diǎn) 時(shí)間: 2025-3-29 17:57
http://image.papertrans.cn/i/image/474039.jpg作者: Between 時(shí)間: 2025-3-29 22:32
Ane Algebraic Curveslar that .[.] is a principal ideal domain,and that .[.,..., .] is a unique factorization domain in general. Also, ideals and quotient rings will be used. Finally, one must know that an algebraically closed field has in infinitely many elements.作者: Deadpan 時(shí)間: 2025-3-30 03:21
Rational Maps. Parametric Representations of Curves birational equivalence by rational maps.It will also be shown that a curve is rational precisely when it has a “parametric representation.” This chapter depends on Chapter 4, but it also uses parts of Chapter 6.作者: 治愈 時(shí)間: 2025-3-30 06:39 作者: Atrium 時(shí)間: 2025-3-30 11:04 作者: climax 時(shí)間: 2025-3-30 16:25 作者: 畏縮 時(shí)間: 2025-3-30 16:37
Textbook 2005ents residue theory in the affine plane and its applications to intersection theory...* Methods of proof for the Riemann–Roch theorem conform to the presentation of curve theory, formulated in the language of filtrations and associated graded rings...* Examples, exercises, figures and suggestions fo作者: 星星 時(shí)間: 2025-3-31 00:11
al Neuroscience, published in conjunction with the Organization for Computational Neuroscience, will be an extensive reference work consultable by both researchers and graduate level students. It will be a dynamic, living reference, updatable and containing linkouts and multimedia content whenever relevant.978-1-0716-1006-0作者: Mercurial 時(shí)間: 2025-3-31 02:37
al Neuroscience, published in conjunction with the Organization for Computational Neuroscience, will be an extensive reference work consultable by both researchers and graduate level students. It will be a dynamic, living reference, updatable and containing linkouts and multimedia content whenever relevant.978-1-0716-1006-0作者: 使混合 時(shí)間: 2025-3-31 05:50 作者: 拔出 時(shí)間: 2025-3-31 12:01 作者: 斜 時(shí)間: 2025-3-31 14:08
al Neuroscience, published in conjunction with the Organization for Computational Neuroscience, will be an extensive reference work consultable by both researchers and graduate level students. It will be a dynamic, living reference, updatable and containing linkouts and multimedia content whenever relevant.978-1-0716-1006-0作者: dry-eye 時(shí)間: 2025-3-31 18:37
al Neuroscience, published in conjunction with the Organization for Computational Neuroscience, will be an extensive reference work consultable by both researchers and graduate level students. It will be a dynamic, living reference, updatable and containing linkouts and multimedia content whenever relevant.978-1-0716-1006-0作者: 乞丐 時(shí)間: 2025-3-31 22:03
al Neuroscience, published in conjunction with the Organization for Computational Neuroscience, will be an extensive reference work consultable by both researchers and graduate level students. It will be a dynamic, living reference, updatable and containing linkouts and multimedia content whenever relevant.978-1-0716-1006-0作者: 名字 時(shí)間: 2025-4-1 05:11
al Neuroscience, published in conjunction with the Organization for Computational Neuroscience, will be an extensive reference work consultable by both researchers and graduate level students. It will be a dynamic, living reference, updatable and containing linkouts and multimedia content whenever relevant.978-1-0716-1006-0
