Integrable Systems and Algebraic Geometry

Autor:	Andreas Malmendier, Adrian Clingher
Rok vydání:	2020
Předmět:	Pure mathematics Riemann hypothesis symbols.namesake Mathematics::Algebraic Geometry symbols Theta function Abelian group Polarization (waves) Moduli Mathematics
DOI:	10.1017/9781108773355
Popis:	We determine normal forms for the Kummer surfaces associated with abelian surfaces of polarization of type $(1,1)$, $(1,2)$, $(2,2)$, $(2,4)$, and $(1,4)$. Explicit formulas for coordinates and moduli parameters in terms of Theta functions of genus two are also given. The normal forms in question are closely connected to the generalized Riemann identities for Theta functions of Mumford's.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::258ee34e0f3c6cef08815dd69d4b9122 https://doi.org/10.1017/9781108773355 Zobrazit plný text záznamu