We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On the Coble quartic and Fourier-Jacobi expansion of theta relations.
- Authors
Dalla Piazza, Francesco; Salvati Manni, Riccardo
- Abstract
In [Q. Ren, S. Sam, G. Schrader and B. Sturmfels, The universal Kummer threefold, Experiment Math. 22(3) (2013) 327-362], the authors conjectured equations for the universal Kummer variety in genus 3 case. Although, most of these equations are obtained from the Fourier-Jacobi expansion of relations among theta constants in genus 4, the more prominent one, Coble's quartic, cf. [A. Coble, Algebraic Geometry and Theta Functions, American Mathematical Society Colloquium Publications, Vol. 10 (American Mathematical Society, 1929)] was obtained differently, cf. [S. Grushevsky and R. Salvati Manni, On Coble's quartic, preprint (2012), arXiv:1212.1895] too. The aim of this paper is to show that Coble's quartic can be obtained as Fourier-Jacobi expansion of a relation among theta-constants in genus 4. We get also one more relation that could be in the ideal described in [ Experiment Math. 22(3) (2013) 327-362].
- Subjects
QUARTIC surfaces; MATHEMATICAL constants; MATHEMATICAL analysis; ALGEBRAIC geometry; EQUATIONS
- Publication
International Journal of Mathematics, 2015, Vol 26, Issue 2, p-1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X15500196