A rigid analytical regulator for the K_2 of Mumford curves
Ambrus Pal
TL;DR
This paper introduces a new rigid analytical regulator for the K_2 group of Mumford curves, providing a non-archimedean analogue to classical complex regulators, advancing the understanding of algebraic K-theory in non-archimedean geometry.
Contribution
It constructs a novel rigid analytical regulator for K_2 of Mumford curves, bridging non-archimedean geometry with algebraic K-theory.
Findings
Defined a non-archimedean regulator for Mumford curves
Established properties analogous to complex regulators
Enhanced tools for algebraic K-theory in non-archimedean settings
Abstract
We construct a rigid analytical regulator for the K_2 of Mumford curves, a non-archimedean analogue of the complex analytical Beilinson-Bloch-Deligne regulator.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Polynomial and algebraic computation