TL;DR
This paper provides an introductory overview of Cox rings, covering their theoretical foundations and applications, aimed at researchers and students interested in algebraic geometry and related fields.
Contribution
It offers a clear, accessible introduction to Cox rings, summarizing key concepts and recent developments for the mathematical community.
Findings
Clarifies the structure and properties of Cox rings
Highlights applications in algebraic geometry and torsors
Summarizes recent research directions
Abstract
Notes of an introductory course given at the conference "Torsors: Theory and Applications" in Edinburgh, January 2011.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Tensor decomposition and applications · Computability, Logic, AI Algorithms