TY - JOUR

T1 - PREPRINT - Normal Forms for Kummer Surfaces

AU - Clingher, Adrian

AU - Malmendier, Andreas

N1 - 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.

PY - 2018/9/6

Y1 - 2018/9/6

N2 - 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.

AB - 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.

UR - https://arxiv.org/abs/1809.02003

M3 - Article

JO - arXiv: Algebraic Geometry

JF - arXiv: Algebraic Geometry

ER -