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Cox Rings

Cox Rings
Author: Ivan Arzhantsev
Publisher: Cambridge University Press
Total Pages: 539
Release: 2015
Genre: Mathematics
ISBN: 1107024625

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This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.


The Rings of Time

The Rings of Time
Author: Greg Cox
Publisher: Simon and Schuster
Total Pages: 258
Release: 2012-01-31
Genre: Fiction
ISBN: 1451655495

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When a mining colony on an endangered moon is threatened, it’s a race against time for the Enterprise crew to find a solution in this original novel set in the universe of Star Trek: The Original Series. The USS Enterprise responds to a distress call from a vital dilithium-mining colony in the Klondike system. The colony is located on Skagway, a moon orbiting Klondike-6, a gas giant not unlike Saturn. For unknown reasons, the planet’s rings are coming apart, threatening the colony and its inhabitants. Kirk and his crew need to find a solution—fast.There are more than 3,000 colonists, including hundreds of families, on Skagway, which is more than even the Enterprise can take on, and there are no other rescue ships or habitable planets anywhere in the vicinity. Meanwhile, an approaching comet that may be the source of the crisis turns out to be a mysterious alien probe. Sensors indicate that the probe is incredibly old and running low on power. Suspecting that the probe may have something to do with the threat to Skagway, Kirk has the probe beamed aboard the Enterprise. Suddenly after a blinding flash, Kirk suddenly finds himself floating in orbit above Saturn in our solar system, drifting in space wearing a twenty-first century NASA spacesuit. What just happened?


Cox Rings

Cox Rings
Author: Ivan Arzhantsev
Publisher:
Total Pages: 540
Release: 2014
Genre: Algebraic varieties
ISBN: 9781139175852

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Arithmetic of Higher-Dimensional Algebraic Varieties

Arithmetic of Higher-Dimensional Algebraic Varieties
Author: Bjorn Poonen
Publisher: Springer Science & Business Media
Total Pages: 292
Release: 2012-12-06
Genre: Mathematics
ISBN: 0817681701

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This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties. Recently, it has become clear that ideas from many branches of mathematics can be successfully employed in the study of rational and integral points. This book will be very valuable for researchers from these various fields who have an interest in arithmetic applications, specialists in arithmetic geometry itself, and graduate students wishing to pursue research in this area.


Ideals, Varieties, and Algorithms

Ideals, Varieties, and Algorithms
Author: David Cox
Publisher: Springer Science & Business Media
Total Pages: 523
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475721811

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Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. Contains a new section on Axiom and an update about MAPLE, Mathematica and REDUCE.


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.


Using Algebraic Geometry

Using Algebraic Geometry
Author: David A. Cox
Publisher: Springer Science & Business Media
Total Pages: 513
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475769113

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An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors provide an introduction to some algebraic objects and techniques more advanced than typically encountered in a first course. The book is accessible to non-specialists and to readers with a diverse range of backgrounds, assuming readers know the material covered in standard undergraduate courses, including abstract algebra. But because the text is intended for beginning graduate students, it does not require graduate algebra, and in particular, does not assume that the reader is familiar with modules.


Commutative Semigroup Rings

Commutative Semigroup Rings
Author: Robert Gilmer
Publisher: University of Chicago Press
Total Pages: 392
Release: 1984-03-15
Genre: Mathematics
ISBN: 0226293920

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Commutative Semigroup Rings was the first exposition of the basic properties of semigroup rings. Gilmer concentrates on the interplay between semigroups and rings, thereby illuminating both of these important concepts in modern algebra.