Publications at the Riemann Center
Cox rings
Abstract
In this chapter we introduce the Cox ring and, more generally, the Cox sheaf and its geometric counterpart, the characteristic space. In addition, algebraic and geometric aspects are discussed. Section 1.1 is devoted to commutative algebras graded by monoids. In Section 1.2, we recall the correspondence between actions of quasitori (also called diagonalizable groups) on affine varieties and affine algebras graded by abelian groups and provide the necessary background on good quotients. Section 1.3 is a first step toward constructing Cox rings.
Details
- Organisation(s)
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Institute of Algebra, Number Theory and Discrete Mathematics
Riemann Center for Geometry and Physics
- External Organisation(s)
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Lomonosov Moscow State University
University of Tübingen
Universidad de Concepcion
- Type
- Monograph
- No. of pages
- 530
- Publication date
- 2015
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
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https://doi.org/10.1017/cbo9781139175852 (Access:
Closed
)
