Geometric And Combinatorial Aspects Of Commutative Algebra
Download Geometric And Combinatorial Aspects Of Commutative Algebra full books in PDF, epub, and Kindle. Read online free Geometric And Combinatorial Aspects Of Commutative Algebra ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Jurgen Herzog |
Publisher |
: CRC Press |
Total Pages |
: 424 |
Release |
: 2001-03-06 |
ISBN-10 |
: 0203908015 |
ISBN-13 |
: 9780203908013 |
Rating |
: 4/5 (15 Downloads) |
Synopsis Geometric And Combinatorial Aspects Of Commutative Algebra by : Jurgen Herzog
This work is based on the lectures presented at the International Conference of Commutative Algebra and Algebraic Geometry held in Messina, Italy. It discusses developments and advances in commutative algebra, algebraic geometry, and combinatorics - highlighting the theory of projective schemes, the geometry of curves, determinantal and stable idea
Author |
: Gunnar Fløystad |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 186 |
Release |
: 2011-05-16 |
ISBN-10 |
: 9783642194924 |
ISBN-13 |
: 3642194923 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Combinatorial Aspects of Commutative Algebra and Algebraic Geometry by : Gunnar Fløystad
The Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Söderberg theory, Schubert calculus, and quiver varieties. The volume also includes an introductory survey on binomial ideals with applications to hypergeometric series, combinatorial games and chemical reactions. The contributions pose interesting problems, and offer up-to-date research on some of the most active fields of commutative algebra and algebraic geometry with a combinatorial flavour.
Author |
: Ezra Miller |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 442 |
Release |
: 2005-06-21 |
ISBN-10 |
: 0387237070 |
ISBN-13 |
: 9780387237077 |
Rating |
: 4/5 (70 Downloads) |
Synopsis Combinatorial Commutative Algebra by : Ezra Miller
Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs
Author |
: Dumitru I. Stamate |
Publisher |
: Springer Nature |
Total Pages |
: 182 |
Release |
: 2020-09-01 |
ISBN-10 |
: 9783030521110 |
ISBN-13 |
: 3030521117 |
Rating |
: 4/5 (10 Downloads) |
Synopsis Combinatorial Structures in Algebra and Geometry by : Dumitru I. Stamate
This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanța, Romania, on August 26-September 1, 2018. The works cover three fields of mathematics: algebra, geometry and discrete mathematics, discussing the latest developments in the theory of monomial ideals, algebras of graphs and local positivity of line bundles. Whereas interactions between algebra and geometry go back at least to Hilbert, the ties to combinatorics are much more recent and are subject of immense interest at the forefront of contemporary mathematics research. Transplanting methods between different branches of mathematics has proved very fruitful in the past – for example, the application of fixed point theorems in topology to solving nonlinear differential equations in analysis. Similarly, combinatorial structures, e.g., Newton-Okounkov bodies, have led to significant advances in our understanding of the asymptotic properties of line bundles in geometry and multiplier ideals in algebra. This book is intended for advanced graduate students, young scientists and established researchers with an interest in the overlaps between different fields of mathematics. A volume for the 24th edition of this conference was previously published with Springer under the title "Multigraded Algebra and Applications" (ISBN 978-3-319-90493-1).
Author |
: Viviana Ene |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 194 |
Release |
: 2009-11-25 |
ISBN-10 |
: 9780821847589 |
ISBN-13 |
: 0821847589 |
Rating |
: 4/5 (89 Downloads) |
Synopsis Combinatorial Aspects of Commutative Algebra by : Viviana Ene
This volume contains the proceedings of the Exploratory Workshop on Combinatorial Commutative Algebra and Computer Algebra, which took place in Mangalia, Romania on May 29-31, 2008. It includes research papers and surveys reflecting some of the current trends in the development of combinatorial commutative algebra and related fields. This volume focuses on the presentation of the newest research results in minimal resolutions of polynomial ideals (combinatorial techniques and applications), Stanley-Reisner theory and Alexander duality, and applications of commutative algebra and of combinatorial and computational techniques in algebraic geometry and topology. Both the algebraic and combinatorial perspectives are well represented and some open problems in the above directions have been included.
Author |
: Francois Bergeron |
Publisher |
: CRC Press |
Total Pages |
: 227 |
Release |
: 2009-07-06 |
ISBN-10 |
: 9781439865071 |
ISBN-13 |
: 1439865078 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Algebraic Combinatorics and Coinvariant Spaces by : Francois Bergeron
Written for graduate students in mathematics or non-specialist mathematicians who wish to learn the basics about some of the most important current research in the field, this book provides an intensive, yet accessible, introduction to the subject of algebraic combinatorics. After recalling basic notions of combinatorics, representation theory, and
Author |
: Günter Ewald |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 378 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461240440 |
ISBN-13 |
: 1461240441 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Combinatorial Convexity and Algebraic Geometry by : Günter Ewald
The book is an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry, and to the connections between these fields, known as the theory of toric varieties. The first part of the book covers the theory of polytopes and provides large parts of the mathematical background of linear optimization and of the geometrical aspects in computer science. The second part introduces toric varieties in an elementary way.
Author |
: Erwan Brugalle |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 363 |
Release |
: 2013-05-23 |
ISBN-10 |
: 9780821891469 |
ISBN-13 |
: 0821891464 |
Rating |
: 4/5 (69 Downloads) |
Synopsis Algebraic and Combinatorial Aspects of Tropical Geometry by : Erwan Brugalle
This volume contains the proceedings of the CIEM workshop on Tropical Geometry, held December 12-16, 2011, at the International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain. Tropical geometry is a new and rapidly developing field of mat
Author |
: Enrico Carlini |
Publisher |
: Springer Nature |
Total Pages |
: 162 |
Release |
: 2020-05-21 |
ISBN-10 |
: 9783030452476 |
ISBN-13 |
: 3030452476 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Ideals of Powers and Powers of Ideals by : Enrico Carlini
This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.
Author |
: Alberto Corso |
Publisher |
: CRC Press |
Total Pages |
: 289 |
Release |
: 2005-08-15 |
ISBN-10 |
: 9781420028324 |
ISBN-13 |
: 1420028324 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Commutative Algebra by : Alberto Corso
Packed with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology. This book consists of articles pres