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On Principally Polarized Adler‐van Moerbeke Surfaces
Author(s) -
Szemberg Tomasz
Publication year - 1997
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3211850115
Subject(s) - mathematics , moduli space , connection (principal bundle) , abelian group , hamiltonian (control theory) , pure mathematics , hamiltonian system , mathematical physics , mathematical analysis , geometry , mathematical optimization
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.