Boundedness of complements for generalized pairs
Guodu Chen, Jingjun Han, Yang He, Lingyao Xie
TL;DR
This paper proves the boundedness of complements for Fano type generalized pairs with boundary coefficients in [0,1], extending Shokurov's work in the area of algebraic geometry.
Contribution
It establishes the boundedness of complements for generalized pairs, a significant advancement in the theory of algebraic geometry and minimal model programs.
Findings
Boundedness of complements proven for Fano type generalized pairs.
Extends Shokurov's results to a broader class of pairs.
Supports the minimal model program with generalized pairs.
Abstract
We prove the boundedness of complements for Fano type generalized pairs (with the boundary coefficient set ) after Shokurov.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Algebraic structures and combinatorial models