Natural line bundles on completions of period mappings
Mark Green, Phillip Griffiths, Colleen Robles
TL;DR
This paper investigates conditions under which natural line bundles related to completions of period mappings are semi-ample or ample, contributing to the understanding of their geometric properties.
Contribution
It provides new criteria for the semi-ampleness and ampleness of line bundles on completions of period mappings, advancing the theory of their geometric structure.
Findings
Identifies conditions for semi-ampleness of line bundles
Establishes criteria for ampleness of line bundles
Enhances understanding of geometric properties of period mapping completions
Abstract
We give conditions under which natural lines bundles associated with completions of period mappings are semi-ample and ample.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Meromorphic and Entire Functions