Verwandte Artikel zu Syzygies and Hilbert Functions (Lecture Notes in Pure...

Syzygies and Hilbert Functions (Lecture Notes in Pure and Applied Mathematics, 254, Band 254) - Softcover

Buch 34 von 140: Lecture Notes in Pure and Applied Mathematics

Peeva, Irena

 
9781584888604: Syzygies and Hilbert Functions (Lecture Notes in Pure and Applied Mathematics, 254, Band 254)
Softcover
ISBN 10: 1584888601 ISBN 13: 9781584888604
Verlag: Chapman and Hall/CRC, 2007

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Irena Peeva is a professor of mathematics at Cornell University.

Von der hinteren Coverseite

Exploring fresh developments as well as fundamental concepts, Syzygies and Hilbert Functions presents highlights, conjectures, unsolved problems, and examples of Hilbert functions and resolutions. The book studies the role of these functions in the areas of algebraic geometry and combinatorics. It also outlines the current status of both the LPP and multiplicity conjectures. In addition, the book discusses bigraded rings, multigraded rings, and toric rings, which have received a lot of attention in recent research.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Chapman and Hall/CRC
Erscheinungsdatum
2007
Sprache
Englisch
ISBN 10 
1584888601
ISBN 13 
9781584888604
Einband
Taschenbuch
Anzahl der Seiten
293
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
gpsr@libri.de
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Deutschland