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標題: Titlebook: An Invitation to Modern Enumerative Geometry; Andrea T. Ricolfi Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive [打印本頁]

作者: ergonomics    時間: 2025-3-21 16:55
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作者: 無目標    時間: 2025-3-21 23:15

作者: 背心    時間: 2025-3-22 02:58

作者: GLADE    時間: 2025-3-22 08:29

作者: 賠償    時間: 2025-3-22 12:18

作者: GNAW    時間: 2025-3-22 15:49
,Tabus —das passiert bei uns nicht,ry, European Mathematical Society, Zürich, EMS Series of Congress Reports, 2012). 16th School of Algebra, Part I (Brasília, 2000). We note that the results hold in equivariant Chow theory, but for the purpose of our applications we content ourselves with equivariant cohomology.
作者: employor    時間: 2025-3-22 19:11
,The Atiyah–Bott Localisation Formula,ry, European Mathematical Society, Zürich, EMS Series of Congress Reports, 2012). 16th School of Algebra, Part I (Brasília, 2000). We note that the results hold in equivariant Chow theory, but for the purpose of our applications we content ourselves with equivariant cohomology.
作者: intimate    時間: 2025-3-23 00:59
Book 2022. .and .Localisation in enumerative geometry. (2021). The goal of this book is to provide a gentle introduction, aimed mainly at graduate students, to the fast-growing subject of enumerative geometry and, more specifically,?.counting invariants.?in algebraic geometry. In addition to the more advance
作者: 潛移默化    時間: 2025-3-23 05:24

作者: 杠桿    時間: 2025-3-23 09:27
,Ver?nderungen und Krisen im Unternehmen,’ than bare numbers, can be defined via virtual classes. This is for instance the point of view of Okounkov’s lecture notes on K-theoretic enumerative geometry [184]..This first chapter, in which we work entirely over . for the sake of concreteness, is a slow motion tour through the unexpected diffi
作者: 胡言亂語    時間: 2025-3-23 10:24

作者: Ventilator    時間: 2025-3-23 17:14

作者: Fibroid    時間: 2025-3-23 21:46

作者: 統(tǒng)治人類    時間: 2025-3-24 01:15
Equivariant Cohomology,n: Algebraic .-theory (Seattle, WA, 1997). Proc. Sympos. Pure Math., vol. 67, pp. 249–281. Amer. Math. Soc., Providence, 1999) and Edidin and Graham (Amer J Math 120(3), 619–636, 1998) for extensions from cohomology to Chow, and see also Ellingsrud and Str?mme (J Amer Math Soc 9(1):175–193, 1996) fo
作者: MERIT    時間: 2025-3-24 03:00
Background Material,o sketch the algebraic definition of Chern classes, and conclude the chapter with a brief overview on representable functors, that will be needed to define fine moduli spaces and universal families. By . we will always mean an algebraically closed field. Most of the time in later chapters, we will set .
作者: 滔滔不絕地講    時間: 2025-3-24 09:11
Applications of the Localisation Formula, Contemp 20:1–70, 2001) was of great inspiration for the first three sections in this chapter, and we take the opportunity to refer the reader to loc. cit. for more examples of application of the localisation formula (upgraded to equivariant Chow theory) in enumerative geometry.
作者: engrossed    時間: 2025-3-24 12:08

作者: 痛得哭了    時間: 2025-3-24 16:45

作者: sed-rate    時間: 2025-3-24 22:07

作者: 倒轉(zhuǎn)    時間: 2025-3-25 01:37
Andrea T. RicolfiIllustrates a sophisticated theory starting from elementary examples.Useful guide towards research in several areas of math.Contains background results hard to find in specialised papers
作者: 古老    時間: 2025-3-25 07:18

作者: chemoprevention    時間: 2025-3-25 09:01
https://doi.org/10.1007/978-3-031-11499-1Torus localisation; Hilbert scheme of points; Moduli spaces of sheaves; Deformation theory; Curve counti
作者: 完成    時間: 2025-3-25 14:38

作者: Diuretic    時間: 2025-3-25 18:48
Die internen Gesetze im VertriebWe attempt to sketch a (certainly incomplete) overview of some the mathematical ideas that shaped the field of enumerative geometry throughout the past few decades. These ideas will be explained and made more precise in later chapters.
作者: 最高峰    時間: 2025-3-25 21:21
https://doi.org/10.1007/978-3-8349-9159-1In this chapter we introduce, via a hands-on approach, one of the most popular moduli spaces in algebraic geometry: the complex ..(., .), classifying .-dimensional linear subspaces of the vector space ..
作者: Fissure    時間: 2025-3-26 02:33

作者: Alpha-Cells    時間: 2025-3-26 05:40
Feedback und Leistungsbeurteilung,In this chapter, for simplicity, we work over . unless specified otherwise. Let . be a complex quasiprojective variety.
作者: Indigence    時間: 2025-3-26 09:17

作者: forestry    時間: 2025-3-26 12:58

作者: 污穢    時間: 2025-3-26 19:01
Informal Introduction to Grassmannians,In this chapter we introduce, via a hands-on approach, one of the most popular moduli spaces in algebraic geometry: the complex ..(., .), classifying .-dimensional linear subspaces of the vector space ..
作者: 要塞    時間: 2025-3-26 21:31

作者: MEET    時間: 2025-3-27 02:16
The Hilbert Scheme of Points,In this chapter, for simplicity, we work over . unless specified otherwise. Let . be a complex quasiprojective variety.
作者: LASH    時間: 2025-3-27 07:49
,Degree 0 DT Invariants of a Local Calabi–Yau 3-Fold,We introduce a couple of technical tools that will be needed in the construction of the perfect obstruction theory on the Hilbert scheme of points on a 3-fold.
作者: 熱烈的歡迎    時間: 2025-3-27 12:54

作者: Genetics    時間: 2025-3-27 14:21
Die ersten 100 Tage im Vertrieb,o sketch the algebraic definition of Chern classes, and conclude the chapter with a brief overview on representable functors, that will be needed to define fine moduli spaces and universal families. By . we will always mean an algebraically closed field. Most of the time in later chapters, we will s
作者: 裙帶關(guān)系    時間: 2025-3-27 19:00

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作者: 金桌活畫面    時間: 2025-3-28 05:31

作者: Connotation    時間: 2025-3-28 07:04

作者: 提名的名單    時間: 2025-3-28 10:31

作者: 喃喃訴苦    時間: 2025-3-28 18:28

作者: persistence    時間: 2025-3-28 19:15
Background Material,o sketch the algebraic definition of Chern classes, and conclude the chapter with a brief overview on representable functors, that will be needed to define fine moduli spaces and universal families. By . we will always mean an algebraically closed field. Most of the time in later chapters, we will s
作者: 責難    時間: 2025-3-29 00:10

作者: 小丑    時間: 2025-3-29 06:50
,The Atiyah–Bott Localisation Formula, Vainsencher (Mat Contemp 20:1–70, 2001) and Anderson (Introduction to equivariant cohomology in algebraic geometry. Contributions to algebraic geometry, European Mathematical Society, Zürich, EMS Series of Congress Reports, 2012). 16th School of Algebra, Part I (Brasília, 2000). We note that the re
作者: hallow    時間: 2025-3-29 07:32
Applications of the Localisation Formula, Contemp 20:1–70, 2001) was of great inspiration for the first three sections in this chapter, and we take the opportunity to refer the reader to loc. cit. for more examples of application of the localisation formula (upgraded to equivariant Chow theory) in enumerative geometry.
作者: 雪崩    時間: 2025-3-29 11:34
The Toy Model for the Virtual Class and Its Localisation,from (see Remark 10.1.15). This construction has historically two approaches: that of Li–Tian (J Am Math Soc 11(1):119–174, 1998) and that of Behrend–Fantechi (Invent Math 128(1):45–88, 1997). In this chapter we shall explicitly construct the perfect obstruction theory on a scheme of the form .?=?.(
作者: 向前變橢圓    時間: 2025-3-29 16:09
,DT/PT Correspondence and a Glimpse of Gromov–Witten Theory, and Pandharipande–Thomas invariants. This relation (Theorem 12.1.1) was proved by Bridgeland (J Am Math Soc 24(4):969–998, 2011) and Toda (J Am Math Soc 23(4):1119–1157, 2010). The classical setup, summarised in the next section, involves a . Calabi–Yau 3-fold. In Sect. 12.2 we will exploit virtual
作者: curriculum    時間: 2025-3-29 21:59

作者: 濃縮    時間: 2025-3-30 01:53

作者: NOT    時間: 2025-3-30 04:57

作者: 止痛藥    時間: 2025-3-30 10:21
Analysis and Synthesis of Auditory Scenes,et recently, due to the high amount of computing power available, communication-acoustical systems become increasingly complex and sophisticated. In particular, they become more intelligent and knowledgeable. This trend will be discussed in this chapter by taking two complementary research streams a




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