Get 40% off of select print and eBooks in Engineering & Materials Science!

Lecture Notes in Mathematics

Commutative Algebra and its Interactions to Algebraic Geometry

VIASM 2013–2014

Editors: Tu Cuong, Nguyen, Tuan Hoa, Le, Viet Trung, Ngo (Eds.)

Free Preview
  • Suitable for graduate courses, requiring only a basic background in commutative algebraIncludes many interesting open problems and ideas for further investigation
  • Describes recent research in commutative algebra and its applications to algebraic geometry
Show all benefits

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-319-75565-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-3-319-75564-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

“The book is devoted to the life and work of Giovanni Battista Guccia … . The book is highly recommended for historians of mathematics and historians of science at any stage of their career. The style also makes this book easy to read and the richness of the collected archival materials offers with extreme clarity an overview of the historical and cultural life of Sicily at the beginning of the 20th century.” (Silvia De Bianchi, zbMATH 1400.01001, 2019)

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-319-75565-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-3-319-75564-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Commutative Algebra and its Interactions to Algebraic Geometry
Book Subtitle
VIASM 2013–2014
Editors
  • Nguyen Tu Cuong
  • Le Tuan Hoa
  • Ngo Viet Trung
Series Title
Lecture Notes in Mathematics
Series Volume
2210
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-75565-6
DOI
10.1007/978-3-319-75565-6
Softcover ISBN
978-3-319-75564-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
IX, 258
Number of Illustrations
16 b/w illustrations, 1 illustrations in colour
Topics