Effective finite generation for adjoint rings
Paolo Cascini, De-Qi Zhang
TL;DR
This paper establishes bounds on the degrees of generators for certain adjoint rings on algebraic surfaces and threefolds, advancing understanding of their algebraic structure.
Contribution
It provides new bounds on the degrees of generators for adjoint rings on surfaces and threefolds, which was previously not well-understood.
Findings
Bound on generator degrees for adjoint rings on surfaces
Bound on generator degrees for adjoint rings on threefolds
Improved understanding of algebraic structure of adjoint rings
Abstract
We describe a bound on the degree of the generators for some adjoint rings on surfaces and threefolds.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Rings, Modules, and Algebras