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Syzygies and Hilbert Functions: 254 (Lecture Notes in Pure and Applied Mathematics) - Tapa blanda

Libro 34 de 138: Lecture Notes in Pure and Applied Mathematics
 
9781584888604: Syzygies and Hilbert Functions: 254 (Lecture Notes in Pure and Applied Mathematics)
Tapa blanda
ISBN 10: 1584888601 ISBN 13: 9781584888604
Editorial: Chapman and Hall/CRC, 2007

Sinopsis

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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Acerca del autor

Irena Peeva is a professor of mathematics at Cornell University.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Chapman and Hall/CRC
Año de publicación
2007
Idioma
Inglés
ISBN 10 
1584888601
ISBN 13 
9781584888604
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
304
Editor
Peeva Irena
Contacto del fabricante
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Alemania