The stable and augmented base locus under finite morphisms
Tanuj Gomez
TL;DR
This paper investigates how the stable and augmented base loci of divisors behave under finite surjective morphisms between normal varieties, providing insights into their geometric properties and transformations.
Contribution
It introduces a detailed analysis of the pullback behavior of stable and augmented base loci under finite morphisms, extending previous understanding in algebraic geometry.
Findings
Characterization of the pullback of stable base loci
Results on the invariance of augmented base loci
Applications to the study of morphisms between varieties
Abstract
We study the pullback of the stable and augmented base locus under a finite surjective morphism between normal varieties over a perfect field.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Tensor decomposition and applications