Cox Rings
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Cox Rings
$165.00
China Internet Development Report 2018: Blue Book of World Internet Conference Cox rings are significant global invariants of algebraic varieties, naturally generalizing homogeneous coordinate rings of projective spaces.
This book provides a largely self-contained introduction to Cox rings, with a particular focus on concrete aspects of the theory. Besides the rigorous presentation of the basic concepts, other central topics include the case of finitely generated Cox rings and its relation to toric geometry; various classes of varieties with group actions; the surface case; and applications in arithmetic problems, in particular Manin's conjecture. The introductory chapters require only basic knowledge in algebraic geometry.
The more advanced chapters also touch on algebraic groups, surface theory, and arithmetic geometry. Each chapter ends with exercises and problems. These comprise mini-tutorials and examples complementing the text, guided exercises for topics not discussed in the text, and, finally, several open problems of varying difficulty.
Book Details
- Authors: Ivan Arzhantsev, Ulrich Derenthal, Jürgen Hausen, Antonio Laface
- Publisher: Cambridge University Press
- eBook ISBN: 9781316146866, 1316146863
- Print ISBN: 9781107024625, 1107024625
Product Details
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