Determinant expressions for abelian functions in genus two

DOI10.1017/S001708950203001XzbMath1101.14312arXivmath/0105188OpenAlexW2006570782MaRDI QIDQ4800196

Yoshihiro Ônishi

Publication date: 2002

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105188

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Special algebraic curves and curves of low genus (14H45) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Theta functions and curves; Schottky problem (14H42)

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Division polynomials and canonical local heights on hyperelliptic Jacobians ⋮ Genus two Siegel quasi-modular forms and Gromov-Witten theory of toric Calabi-Yau threefolds ⋮ Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in general relativity ⋮ Determinantal expressions for hyperelliptic functions in genus three ⋮ Ultraelliptic integrals and two-dimensional sigma functions ⋮ ABELIAN FUNCTIONS FOR TRIGONAL CURVES OF DEGREE FOUR AND DETERMINANTAL FORMULAE IN PURELY TRIGONAL CASE ⋮ Recursion relation of hyperelliptic PSI-functions of genus two

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