On Principally Polarized Adler-van Moerbeke Surfaces

✍ Scribed by Tomasz Szemberg

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 917 KB
• Volume: 185
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.3211850115

✦ Synopsis

Abstract

In the present paper we study Kummer surfaces in IP^6^ arising as projections of a certain family of principally polarized abelian surfaces in IP^6^. This family was introduced by Adler and van Moerbeke in connection with some Hamiltonian dynamical systems. In this paper we give explicit equations of the associated Kummer surfaces. This enables us to deacribe their moduli space and to give the full list of degenerations.