The continuity of Deligne's pairing
Atsushi Moriwaki
TL;DR
This paper proves that the metric associated with Deligne's pairing is continuous, providing a key property that enhances understanding of its geometric and arithmetic applications.
Contribution
It establishes the continuity of Deligne's pairing metric, a property not previously confirmed, thereby advancing the theoretical framework.
Findings
Proves the continuity of Deligne's pairing metric
Enhances understanding of geometric properties
Supports further research in arithmetic geometry
Abstract
In this short note, we will show that the metric of Deligne's pairing is continous.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Finite Group Theory Research