An inclusion result for dagger closure in certain section rings of abelian varieties

TL;DR

This paper proves a new inclusion result for graded dagger closure in primary ideals within symmetric section rings of abelian varieties over algebraically closed fields, advancing understanding in algebraic geometry.

Contribution

It introduces a novel inclusion result for dagger closure in a specific class of section rings of abelian varieties, extending prior algebraic closure theories.

Findings

Established an inclusion result for graded dagger closure in symmetric section rings.

Applied the result to primary ideals in abelian varieties.

Extended algebraic closure concepts to new geometric contexts.

Abstract

We prove an inclusion result for graded dagger closure for primary ideals in symmetric section rings of abelian varieties over an algebraically closed field of arbitrary characteristic.