Hulls and Husks
J\'anos Koll\'ar (Princeton Univ)
TL;DR
This paper extends a fundamental decomposition theorem to reflexive hulls, aiding in moduli space construction, flatness improvements, and normalization criteria in algebraic geometry.
Contribution
It introduces an analog of the flattening decomposition theorem for reflexive hulls, advancing tools for moduli spaces and flatness conditions.
Findings
Established an analog of the flattening decomposition theorem for reflexive hulls.
Applications to moduli space construction of varieties of general type.
Provided improved flatness conditions and normalization criteria.
Abstract
The aim of this note is to prove an analog of the flattening decomposition theorem for reflexive hulls. The main applications are: the construction of the moduli space of varieties of general type, improved flatness conditions and criteria for simultaneous normalizations.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Polynomial and algebraic computation