Determinantal characterization of canonical curves and combinatorial theta identities
From MaRDI portal
Publication:1934292
DOI10.1007/s00208-012-0787-zzbMath1273.14071arXivmath/0605734OpenAlexW3098778782MaRDI QIDQ1934292
Publication date: 28 January 2013
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0605734
Theta functions and abelian varieties (14K25) Vector bundles on curves and their moduli (14H60) Special divisors on curves (gonality, Brill-Noether theory) (14H51) Theta functions and curves; Schottky problem (14H42)
Related Items (4)
Singular spin structures and superstrings ⋮ The determinant expressions of some theta constant identities ⋮ Extending the Belavin-Knizhnik ``wonderful formula by the characterization of the Jacobian ⋮ Vector-valued modular forms from the Mumford forms, Schottky-Igusa form, product of Thetanullwerte and the amazing Klein formula
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a set of equations characterizing Riemann matrices
- Characterizing Jacobians via flexes of the Kummer variety
- Jacobians with a vanishing theta-null in genus 4
- Characterizing Jacobians via trisecants of the Kummer variety
- Siegel modular forms vanishing on the moduli space of curves
- A criterion for Jacobi varieties
- Characterization of Jacobian varieties in terms of soliton equations
- Another proof of a conjecture of S. P. Novikov on periods of Abelian integrals on Riemann surfaces
- Non-Jacobians in the Schottky loci
- Big Schottky
- Some curves in Abelian varieties
- On Petri's analysis of the linear system of quadrics through a canonical curve
- Integration of nonlinear equations by the methods of algebraic geometry
- Petri's approach to the study of the ideal associated to a special divisor
- The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
- Two-loop superstrings. IV: The cosmological constant and modular forms
- Theta functions on Riemann surfaces
- Cohomological structure in soliton equations and Jacobian varieties
- Singularities of the Prym theta divisor
- Theta functions and non-linear equations
- A standard basis approach to syzygies of canonical curves.
- Geometry of A_g and Its Compactifications
- Some Identities for Abelian Integrals
- Kummer Varieties and the Moduli Spaces of Abelian Varieties
- Kernel functions, analytic torsion, and moduli spaces
This page was built for publication: Determinantal characterization of canonical curves and combinatorial theta identities