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Determinants, Gröbner Bases and Cohomology, Hardcover by Bruns, Winfried; Con...

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Características del artículo

Estado
Como nuevo: Libro en perfecto estado y poco leído. La tapa no tiene desperfectos y si procede, con ...
Book Title
Determinants, Gröbner Bases and Cohomology
ISBN
9783031054792
Subject Area
Mathematics
Publication Name
Determinants, Gröbner Bases and Cohomology
Publisher
Springer International Publishing A&G
Item Length
9.3 in
Subject
Algebra / Abstract, Geometry / Algebraic, Discrete Mathematics
Publication Year
2022
Series
Springer Monographs in Mathematics Ser.
Type
Textbook
Format
Hardcover
Language
English
Author
Winfried Bruns, Matteo Varbaro, Aldo Conca, Claudiu Raicu
Item Weight
33.3 Oz
Item Width
6.1 in
Number of Pages
Xiii, 507 Pages

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Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3031054792
ISBN-13
9783031054792
eBay Product ID (ePID)
26057265375

Product Key Features

Number of Pages
Xiii, 507 Pages
Publication Name
Determinants, Gröbner Bases and Cohomology
Language
English
Publication Year
2022
Subject
Algebra / Abstract, Geometry / Algebraic, Discrete Mathematics
Type
Textbook
Subject Area
Mathematics
Author
Winfried Bruns, Matteo Varbaro, Aldo Conca, Claudiu Raicu
Series
Springer Monographs in Mathematics Ser.
Format
Hardcover

Dimensions

Item Weight
33.3 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
1 Gröbner bases, initial ideals and initial algebras.- 2 More on Gröbner deformations.- 3 Determinantal ideals and the straightening law.- 4 Gröbner bases of determinantal ideals.- 5 Universal Gröbner bases.- 6 Algebras defined by minors.- 7 F-singularities of determinantal rings.- 8 Castelnuovo-Mumford regularity.- 9 Grassmannians, flag varieties, Schur functors and cohomology.- 10 Asymptotic regularity for symbolic powers of determinantal ideals.- 11 Cohomology and regularity in characteristic zero.
Synopsis
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 Gröbner 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 Gröbner 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, Gröbner 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 interestingand important class of varieties.
LC Classification Number
QA564-609

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  • o***l (310)- Votos emitidos por el comprador.
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    The item was described to a Tee. Very good communication. Shipping was just a little slow. The box the set of books comes in was damaged (bent corners) due to packaging. Not a deal breaker because the grand kids will not store in that box; might be if it were to be given as a present. The three books in the box arrived in prefect shape. I WOULD purchase from greatbookprices1 again in the future. Thanks
  • i***y (710)- Votos emitidos por el comprador.
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    2 volumes of Pogo comic strips, new and in perfect condition. Price was good, but shipping cost ($30 for two books) seems like a lot for how long it took to get delivered (23 days from Illinois to Spain). Also, seller communication was not great. First two times I wrote, their response did not address question. Third response explained at length about the private courier service they use and how it should take 1-10 business days to deliver. Maybe they should consider a different courier service.
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    *Same as the other review* Purchased two box sets from this seller with one being advertised as "like new" but was delivered as if it was actually new. Shipping time was a little slow, takes about 10 days to ship out and it takes a while to get through the system. But the packing was great and I'm still overall happy with my purchase.

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