Articoli correlati a Syzygies and Hilbert Functions

9781138454316: Syzygies and Hilbert Functions
Rilegato
ISBN 10: 1138454311 ISBN 13: 9781138454316
Casa editrice: Chapman and Hall/CRC, 2018

Sinossi

Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts. Written by international mathematics authorities, the book first examines the invariant of Castelnuovo-Mumford regularity, blowup algebras, and bigraded rings. It then outlines the current status of two challenging conjectures: the lex-plus-power (LPP) conjecture and the multiplicity conjecture. After reviewing results of the geometry of Hilbert functions, the book considers minimal free resolutions of integral subschemes and of equidimensional Cohen-Macaulay subschemes of small degree. It also discusses relations to subspace arrangements and the properties of the infinite graded minimal free resolution of the ground field over a projective toric ring. The volume closes with an introduction to multigraded Hilbert functions, mixed multiplicities, and joint reductions. By surveying exciting topics of vibrant current research, Syzygies and Hilbert Functions stimulates further study in this hot area of mathematical activity.

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Informazioni sull'autore

Irena Peeva is a professor of mathematics at Cornell University.

Dalla quarta di copertina

Examines the invariant of Castelnuovo-Mumford regularity, blowup algebras, and bigraded rings. This work outlines the status of two conjectures: the lex-plus-power (LPP) conjecture and the multiplicity conjecture. It considers minimal free resolutions of integral subschemes and of equidimensional Cohen-Macaulay subschemes of small degree.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Chapman and Hall/CRC
Data di pubblicazione
2018
Lingua
Inglese
ISBN 10 
1138454311
ISBN 13 
9781138454316
Rilegatura
Copertina rigida
Numero edizione
1
Numero di pagine
304
Redattore
Peeva Irena
Contatto del produttore
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Germania