LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	510
Title	Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013–2014 / edited by Nguyen Tu Cuong, Le Tuan Hoa, Viet Trung (EB)
Added Personal Name	Cuong, Tu Nguyen
	Hoa, Le Tuan
	Trung, Ngo Viet
Publication	Cham : Springer , 2018
Physical Details	1 online resource
Series	Lecture Notes in Mathematics ; 2210
ISBN	978-3-319-75565-6
Summary Note	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.:
Mode of acces to digital resource	Digital book. Cham Springer 2018. Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	https://doi.org/10.1007/978-3-319-75565-6
Links to Related Works	Subject References: Algebra . Algebraic Geometry . Authors: Cuong, Tu Nguyen . Hoa, Le Tuan . Trung, Ngo Viet . Series: Lecture Notes in Mathematics . Classification: 510 .

Catalogue Display

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

Reviews