Thomae formula for abelian covers of ℂℙ¹

DOI10.1090/tran/7764zbMath1436.14051arXiv1612.09104OpenAlexW2963734740MaRDI QIDQ5241476

Shaul Zemel, Yaacov Kopeliovich

Publication date: 31 October 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09104

zbMATH Keywords

abelian coversThomae formula

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Period matrices, variation of Hodge structure; degenerations (32G20) Relationships between algebraic curves and physics (14H81) Families, moduli of curves (analytic) (14H15) Theta functions and curves; Schottky problem (14H42)

Related Items

Periods of generalized Fermat curves, General derivative Thomae formula for singular half-periods, On spaces associated with invariant divisors on Galois covers of Riemann surfaces and their applications, Thomae's derivative formulae for trigonal curves, Thomae formula for abelian covers of ℂℙ¹

Cites Work

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• Szpiro's small points conjecture for cyclic covers
• Thomae formula for general cyclic covers of \({{\mathbb {CP}}^1}\)
• Generalizations of Thomae's formula for \(Z_n\) curves
• Thomae's formula for \(Z_n\) curves
• \({\mathbb{Z}_N}\)-curves possessing no thomae formulae of Bershadsky-Radul type
• On the theory of Dedekind sums.
• Explicit Mumford isomorphism for hyperelliptic curves
• Fermionic fields on \({\mathbb{Z}}_ N\)-curves
• On the Thomae formula for \(\mathbb{Z}_N\) curves
• Theta constants associated with the cyclic triple coverings of the complex projective line branching at six points
• Theta functions on Riemann surfaces
• On spaces associated with invariant divisors on Galois covers of Riemann surfaces and their applications
• Thomae's derivative formulae for trigonal curves
• Thomae formulae for general fully ramified \(Z_n\) curves
• Thomae type formulae for singular \(Z_N\) curves
• On Szpiro's Discriminant Conjecture
• Weierstrass points, branch points, and moduli of riemann surfaces
• CONFORMAL FIELD THEORIES WITH ADDITIONAL Z_N SYMMETRY
• On the Discriminant of a Hyperelliptic Curve
• Thomae formula for abelian covers of ℂℙ¹
• THETA CONSTANT IDENTITIES AT PERIODS OF COVERINGS OF DEGREE 3
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura