libcats.org
Главная

Syzygies and Hilbert Functions

Обложка книги Syzygies and Hilbert Functions

Syzygies and Hilbert Functions

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.
Популярные книги за неделю:

О физической природе шаровой молнии

Автор:
Категория: science, science, exact
Размер книги: 5.03 Mb

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb
Только что пользователи скачали эти книги:

Руководство по языку Borland Pascal 7.0 & Objects-LR

Автор:
Категория: Наука
Размер книги: 186 Kb

The obstacle problem

Автор:
Размер книги: 294 Kb

Kant's Transcendental Proof of Realism

Автор:
Размер книги: 1.43 Mb

Mord ist aller Laster Anfang

Автор:
Категория: fiction
Размер книги: 766 Kb

Serial Killers The Method and Madness of Monsters

Автор:
Категория: fiction
Размер книги: 254 Kb