Effective good divisibility of rational homogeneous varieties
Haoqiang Hu, Changzheng Li, Zhaoyang Liu
TL;DR
This paper calculates the effective good divisibility of rational homogeneous varieties, extending previous results for Grassmannians, and applies these findings to prove the non-existence of certain morphisms.
Contribution
It extends the computation of effective good divisibility to a broader class of rational homogeneous varieties beyond Grassmannians.
Findings
Effective good divisibility computed for various rational homogeneous varieties.
Non-existence results for nonconstant morphisms to classical Lie type varieties.
Extension of earlier results for complex Grassmannians.
Abstract
We compute the effective good divisibility of a rational homogeneous variety, extending an earlier result for complex Grassmannians by Naldi and Occhetta. Non-existence of nonconstant morphisms to rational homogeneous varieties of classical Lie type are obtained as applications.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Advanced Algebra and Geometry