1st Edition

Syzygies and Hilbert Functions

Edited By Irena Peeva Copyright 2007
304 Pages 6 B/W Illustrations
by Chapman & Hall

304 Pages
by Chapman & Hall

304 Pages
by Chapman & Hall

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,... Read more
Some Results and Questions on Castelnuovo-Mumford
Regularity
Marc Chardin

Hilbert Coefficients of Ideals with a View toward Blowup Algebras Alberto Corso and Claudia Polini

A Case Study in Bigraded Commutative Algebra
David Cox, Alicia Dickenstein and Hal Schenck

Lex-Plus-Powers Ideals
Christopher A. Francisco and Benjamin P. Richert

Multiplicity Conjectures
Christopher A. Francisco and Hema Srinivasan

The Geometry of Hilbert Functions
Juan C. Migliore

Minimal Free Resolutions of Projective Subschemes of Small Degree
Uwe Nagel

Infinite Free Resolutions over Toric Rings
Irena Peeva

Resolutions and Subspace Arrangements
Jessica Sidman

Multigraded Hilbert Functions and Mixed Multiplicities
Irena Swanson

Index

Biography

Irena Peeva is a professor of mathematics at Cornell University.