Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013-2014

Language: English

Published by Palgrave Macmillan, 2018

3319755641 / 9783319755649

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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 (and improves) recent results for the case of toric varieties.…

Seller Inventory # 9783319755649

Title
Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013-2014
Author
Le Tuan Hoa
Publisher
Palgrave Macmillan
Publication year
2018
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319755641
ISBN 13
9783319755649
Item weight
411 grams
Dimensions
235x155x15 mm

AHA-BUCH GmbH

Einbeck, Germany

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