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Combinatorial Convexity and Algebraic Geometry

Combinatorial Convexity and Algebraic Geometry
Author: Günter Ewald
Publisher: Springer Science & Business Media
Total Pages: 378
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461240441

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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.


Combinatorial Algebraic Geometry

Combinatorial Algebraic Geometry
Author: Gregory G. Smith
Publisher: Springer
Total Pages: 391
Release: 2017-11-17
Genre: Mathematics
ISBN: 1493974866

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This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.


Excursions into Combinatorial Geometry

Excursions into Combinatorial Geometry
Author: Vladimir Boltyanski
Publisher: Springer Science & Business Media
Total Pages: 428
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642592376

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