| 书目名称 | Commutative Algebra and its Interactions to Algebraic Geometry |
| 副标题 | VIASM 2013–2014 |
| 编辑 | Nguyen Tu CUONG,Le Tuan HOA,Ngo Viet TRUNG |
| 视频video | http://file.papertrans.cn/231/230754/230754.mp4 |
| 概述 | Suitable for graduate courses, requiring only a basic background in commutative algebra.Includes many interesting open problems and ideas for further investigation.Describes recent research in commuta |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014. .The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen -Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically? It systematically covers ( |
| 出版日期 | Book 2018 |
| 关键词 | Weyl Algebra; D-module; Local System; Artinian Gorenstein Ring; Representation Type; Arithmetically Cohen |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-75565-6 |
| isbn_softcover | 978-3-319-75564-9 |
| isbn_ebook | 978-3-319-75565-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing AG, part of Springer Nature 2018 |
|Archiver|手机版|小黑屋|
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