0
Your cart

Your cart is empty

Browse All Departments
  • All Departments
Price
  • R1,000 - R2,500 (1)
  • R2,500 - R5,000 (1)
  • -
Status
Brand

Showing 1 - 2 of 2 matches in All Departments

Determinants, Groebner Bases and Cohomology (Hardcover, 1st ed. 2022): Winfried Bruns, Aldo Conca, Claudiu Raicu, Matteo Varbaro Determinants, Groebner Bases and Cohomology (Hardcover, 1st ed. 2022)
Winfried Bruns, Aldo Conca, Claudiu Raicu, Matteo Varbaro
R3,654 Discovery Miles 36 540 Ships in 12 - 17 working days

This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry. After a concise introduction to Groebner and Sagbi bases, determinantal ideals are studied via the standard monomial theory and the straightening law. This opens the door for representation theoretic methods, such as the Robinson-Schensted-Knuth correspondence, which provide a description of the Groebner bases of determinantal ideals, yielding homological and enumerative theorems on determinantal rings. Sagbi bases then lead to the introduction of toric methods. In positive characteristic, the Frobenius functor is used to study properties of singularities, such as F-regularity and F-rationality. Castelnuovo-Mumford regularity, an important complexity measure in commutative algebra and algebraic geometry, is introduced in the general setting of a Noetherian base ring and then applied to powers and products of ideals. The remainder of the book focuses on algebraic geometry, where general vanishing results for the cohomology of line bundles on flag varieties are presented and used to obtain asymptotic values of the regularity of symbolic powers of determinantal ideals. In characteristic zero, the Borel-Weil-Bott theorem provides sharper results for GL-invariant ideals. The book concludes with a computation of cohomology with support in determinantal ideals and a survey of their free resolutions. Determinants, Groebner Bases and Cohomology provides a unique reference for the theory of determinantal ideals and varieties, as well as an introduction to the beautiful mathematics developed in their study. Accessible to graduate students with basic grounding in commutative algebra and algebraic geometry, it can be used alongside general texts to illustrate the theory with a particularly interesting and important class of varieties.

Recent Developments in Commutative Algebra - Levico Terme, Trento 2019 (Paperback, 1st ed. 2021): Claudia Polini, Claudiu... Recent Developments in Commutative Algebra - Levico Terme, Trento 2019 (Paperback, 1st ed. 2021)
Claudia Polini, Claudiu Raicu, Matteo Varbaro, Mark E. Walker; Edited by Aldo Conca, …
R1,349 Discovery Miles 13 490 Ships in 10 - 15 working days

This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Groebner bases and degenerations, and applications of Adams operations. Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation in the field. The material contained in this volume, based on lectures given at a workshop held in Levico Terme, Trento, in July 2019, highlights some of these developments. The text will be a valuable asset to graduate students and researchers in commutative algebra and related fields.

Free Delivery
Pinterest Twitter Facebook Google+
You may like...
STEM Activity: Sensational Science
Steph Clarkson Paperback  (4)
R246 R202 Discovery Miles 2 020
Pineware Steam, Spray & Dry Iron (Blue…
R199 R187 Discovery Miles 1 870
Philips TAUE101 Wired In-Ear Headphones…
R199 R129 Discovery Miles 1 290
I Will Not Be Silenced
Karyn Maughan Paperback R350 R260 Discovery Miles 2 600
Dig & Discover: Ancient Egypt - Excavate…
Hinkler Pty Ltd Kit R256 R222 Discovery Miles 2 220
Finally Enough Love - #1's Remixed
Madonna CD  (2)
R384 Discovery Miles 3 840
Moon Bag (Black)
R57 Discovery Miles 570
Bosch GBM 320 Professional Drill…
R799 R449 Discovery Miles 4 490
Loot
Nadine Gordimer Paperback  (2)
R383 R310 Discovery Miles 3 100
Russell Hobbs Toaster (4 Slice) (Matt…
R1,167 Discovery Miles 11 670

 

Partners