$\epsilon$-Factors for the Period Determinants of Curves
Alexander Beilinson
TL;DR
This paper introduces a new factorization formalism for determinants of period matrices of D-modules on curves, avoiding the Fourier transform used in previous methods, thus offering a novel approach to understanding period determinants.
Contribution
It presents a new factorization formalism for period determinants of D-modules on curves that does not rely on Fourier transform techniques, differing from prior work.
Findings
Provides a new factorization formalism for period determinants
Avoids the use of Fourier transform in the analysis
Offers a different perspective on D-module period determinants
Abstract
The article provides a factorization formalism for determinants of the period matrices for D-modules on curves. Unlike previous approach due to Bloch, Deligne, and Esnault, it does not use Fourier transform.
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Taxonomy
TopicsAnalytic Number Theory Research · Point processes and geometric inequalities · Mathematical Approximation and Integration