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Titlebook: Combinatorial Commutative Algebra; Ezra Miller,Bernd Sturmfels Textbook 2005 Springer-Verlag New York 2005 Dimension.Grad.Lattice.algebrai

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書目名稱Combinatorial Commutative Algebra
編輯Ezra Miller,Bernd Sturmfels
視頻videohttp://file.papertrans.cn/230/229897/229897.mp4
概述Recent and comprehensive view point.Most exciting recent developments are covered with complete proofs and a large number of striking illustrations.Includes supplementary material:
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Combinatorial Commutative Algebra;  Ezra Miller,Bernd Sturmfels Textbook 2005 Springer-Verlag New York 2005 Dimension.Grad.Lattice.algebrai
描述.Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This book provides a self-contained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determinantal rings. The eighteen chapters cover a broad spectrum of topics, ranging from homological invariants of monomial ideals and their polyhedral resolutions, to hands-on tools for studying algebraic varieties with group actions, such as toric varieties, flag varieties, quiver loci, and Hilbert schemes. Over 100 figures, 250 exercises, and pointers to the literature make this book appealing to both graduate students and researchers..
出版日期Textbook 2005
關(guān)鍵詞Dimension; Grad; Lattice; algebraic varieties; commutative algebra; combinatorics
版次1
doihttps://doi.org/10.1007/b138602
isbn_softcover978-0-387-23707-7
isbn_ebook978-0-387-27103-3Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag New York 2005
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https://doi.org/10.1007/b138602Dimension; Grad; Lattice; algebraic varieties; commutative algebra; combinatorics
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Textbook 2005provides a self-contained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determinantal rings. The eighteen chapters cover a broad spectrum of topics, ranging from homological invariants of monomial ideals and their
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Unsupervised Feature Selection via?Nonlinear Representation and?Adaptive Structure Preservationpture more accurate information. An efficient and effective algorithm was designed to perform our method. Experiments with eight benchmark datasets from face images, biology, and time series outperformed nine state-of-the-art algorithms, validating the superiority and effectiveness of our method. The source code is available at ..
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