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Theta divisors with curve summands and the Schottky problem

Mathematische Annalen, 2014
We prove the following converse of Riemann’s Theorem: let $$(A,\Theta )$$(A,Θ) be an indecomposable principally polarized abelian variety whose theta divisor can be written as a sum of a curve and a codimension two subvariety $$\Theta =C+Y$$Θ=C+Y. Then C
Stefan Schreieder
semanticscholar   +2 more sources

Theta functions and algebraic curves with automorphisms

Algebraic Aspects of Digital Communications, 2012
Let $\X$ be an irreducible, smooth, projective curve of genus $g \geq 2$ defined over the complex field $\C.$ Then there is a covering $\pi: \X \longrightarrow \P^1,$ where $\P^1$ denotes the projective line.
Tanush Shaska, G. Wijesiri
semanticscholar   +1 more source

On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture

Archive for Rational Mechanics and Analysis, 2020
Let z=x+iy∈H:={z=x+iy∈C:y>0}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
S. Luo, Juncheng Wei
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Quasi-periodic waves to the defocusing nonlinear Schrödinger equation

Nonlinearity
A direct approach for the quasi-periodic wave solutions to the defocusing nonlinear Schrödinger equation is proposed based on the theta functions and Hirota’s bilinear method.
Ying-Nan Zhang   +2 more
semanticscholar   +1 more source

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