Results 1 to 10 of about 1,965 (61)
Secants of Abelian Varieties, Theta functions, and Soliton Equations [PDF]
, 1996 This paper is a survey on relations between secant identities and soliton equations and applications of soliton equations to problems of algebraic geometry, i.e., the Riemann-Schottky problem and its analogues.
Taimanov, I. A.
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Theta-induced diffusion on Tate elliptic curves over nonarchimedean local fields [PDF]
Pacific Journal of Mathematics, 2023 A diffusion operator on the $K$-rational points of a Tate elliptic curve $E_q$ is constructed, where $K$ is a non-archimedean local field, as well as an operator on the Berkovich-analytification $E_q^{an}$ of $E_q$.
Patrick Erik Bradley
semanticscholar +1 more source
Theta functions and optimal lattices for a grid cells model [PDF]
SIAM Journal on Applied Mathematics, 2020 Certain types of neurons, called "grid cells" have been shown to fire exactly on a triangular grid when an animal is navigating on a two-dimensional environment, whereas recent studies suggest that the face-centred-cubic (FCC) lattice is the good ...
Laurent B'etermin
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Computing Theta Functions with Julia [PDF]
The Journal of Software for Algebra and Geometry, 2019 We present a new package Theta.jl for computing with the Riemann theta function. It is implemented in Julia and offers accurate numerical evaluation of theta functions with characteristics and their derivatives of arbitrary order.
Daniele Agostini, Lynn Chua
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An explicit solution to the weak Schottky problem [PDF]
, 2017 We give an explicit weak solution to the Schottky problem, in the spirit of Riemann and Schottky. For any genus $g$, we write down a collection of polynomials in genus $g$ theta constants, such that their common zero locus contains the locus of Jacobians
H. Farkas, S. Grushevsky, R. Manni
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Wilson loops and Riemann theta functions II [PDF]
Journal of High Energy Physics, 2013 A bstractIn this paper we extend and simplify previous results regarding the computation of Euclidean Wilson loops in the context of the AdS/CFT correspondence, or, equivalently, the problem of finding minimal area surfaces in hyperbolic space (Euclidean
M. Kruczenski, Sannah Ziama
semanticscholar +2 more sources
Vector-Valued Modular Forms from the Mumford Form, Schottky-Igusa Form, Product of Thetanullwerte and the Amazing Klein Formula [PDF]
, 2012 Vector-valued Siegel modular forms are the natural generalization of the classical elliptic modular forms as seen by studying the cohomology of the universal abelian variety.
Matone, Marco, Volpato, Roberto
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The non-existence of stable Schottky forms [PDF]
, 2013 Let $A_g^S$ be the Satake compactification of the moduli space $A_g$ of principally polarized abelian $g$-folds and $M_g^S$ the closure of the image of the moduli space $M_g$ of genus $g$ curves in $A_g$ under the Jacobian morphism.
G. Codogni +6 more
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From Quantum Curves to Topological String Partition Functions [PDF]
Communications in Mathematical Physics, 2018 This paper describes the reconstruction of the topological string partition function for certain local Calabi–Yau (CY) manifolds from the quantum curve, an ordinary differential equation obtained by quantising their defining equations. Quantum curves are
I. Coman, E. Pomoni, J. Teschner
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A note on the Schottky problem [PDF]
, 2018 In this article, we discuss and survey the recent progress towards the Schottky problem, and make some comments on the relations between the Andr{\'e}-Oort conjecture, Okounkov convex bodies, Coleman's conjecture, stable modular forms, Siegel-Jacobi ...
Yang, Jae-Hyun
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