Year: 2020
Type: book-chapter
Abstract: 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.
Authors: Adrian Clingher, Andreas Malmendier
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3084357706