On normalized differentials on hyperelliptic curves of infinite genus
T. Kappeler, P. Topalov
TL;DR
This paper introduces a novel method for constructing normalized differentials on hyperelliptic curves of infinite genus, providing uniform asymptotic estimates for the zeros' distribution, advancing understanding in complex algebraic geometry.
Contribution
It presents a new approach to normalized differentials on infinite genus hyperelliptic curves and derives uniform asymptotic estimates for their zeros' distribution.
Findings
New construction method for differentials on infinite genus curves
Uniform asymptotic estimates for zeros distribution
Enhanced understanding of hyperelliptic curve properties
Abstract
We develop a new approach for constructing normalized differentials on hyperelliptic curves of infinite genus and obtain uniform asymptotic estimates for the distribution of their zeros.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Nonlinear Waves and Solitons · Advanced Algebra and Geometry