Real Regulator on K_1 of elliptic surfaces
Masanori Asakura
TL;DR
This paper introduces a method for computing the real regulator on K_1 of elliptic surfaces and provides examples of indecomposable regulator elements for surfaces with large geometric genus.
Contribution
It presents a novel computational approach for real regulators on K_1 of elliptic surfaces and constructs explicit indecomposable elements for surfaces with large p_g.
Findings
Method for computing real regulator on K_1 of elliptic surfaces.
Examples of regulator indecomposable elements with large p_g.
Demonstration of the method's effectiveness through explicit cases.
Abstract
We give a certain method for computations of real regulator on K_1 of elliptic surfaces. We also give an examples of a regulator indecomposable element for an elliptic surface with an arbitrary large p_g.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · advanced mathematical theories