Thomae type formulae for singular \(Z_N\) curves

DOI10.1007/s11005-006-0073-7zbMath1159.14018arXivmath-ph/0602017OpenAlexW2043466697MaRDI QIDQ2457222

Tamara Grava, Viktor Z.Enol'skij

Publication date: 30 October 2007

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0602017

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) KdV equations (Korteweg-de Vries equations) (35Q53) Relationships between algebraic curves and integrable systems (14H70)

Related Items (16)

Thomae formulae for general fully ramified \(Z_n\) curves ⋮ Generalizations of Hutchinson’s Curve and the Thomae Formulae ⋮ Free compact boson on branched covering of the torus ⋮ Thomae formula for general cyclic covers of \({{\mathbb {CP}}^1}\) ⋮ A new proof of a Thomae-like formulafor non hyperelliptic genus 3 curves ⋮ Multi-charged moments of two intervals in conformal field theory ⋮ Cubic theta functions ⋮ \({\mathbb{Z}_N}\)-curves possessing no thomae formulae of Bershadsky-Radul type ⋮ General derivative Thomae formula for singular half-periods ⋮ Bose–Fermi duality and entanglement entropies ⋮ On Rényi entropies of disjoint intervals in conformal field theory ⋮ Thomae's derivative formulae for trigonal curves ⋮ Entanglement entropy of two disjoint intervals in conformal field theory ⋮ Triangular Schlesinger systems and superelliptic curves ⋮ Thomae formula for abelian covers of ℂℙ¹ ⋮ The sigma function over a family of curves with a singular fiber

Cites Work

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• Fermionic fields on \({\mathbb{Z}}_ N\)-curves
• On the representation of the Picard modular function by \(\theta\) constants. I-II
• On the Thomae formula for \(\mathbb{Z}_N\) curves
• Form factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration
• On the family of pentagonal curves of genus 6 and associated modular forms on the ball.
• On the algebro-geometric integration of the Schlesinger equations
• Theta functions on Riemann surfaces
• Tau-functions on Hurwitz spaces
• Solution of matrix Riemann-Hilbert problems with quasi-permutation monodromy matrices
• Hall-order differentials on Riemann surfaces
• Weierstrass points, branch points, and moduli of riemann surfaces
• Theta functions and non-linear equations
• CONFORMAL FIELD THEORIES WITH ADDITIONAL Z_N SYMMETRY
• Loci of Curves Which are Prime Galois Coverings of P¹
• Kernel functions, analytic torsion, and moduli spaces
• Periods of hyperelliptic integrals expressed in terms of θ -constants by means of Thomae formulae
• Integrale dritter Gattung und linear polymorphe Funktionen
• Actions of the Neumann systems via Picard-Fuchs equations
• On the tetrahedrally symmetric monopole

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