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Title

Equations defining reducible Kummer surfaces in ℙ⁵

Authors 1

Affiliations

  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Abstract

Principally polarized abelian surfaces are the Jacobians of smooth genus 2 curves or of stable genus 2 curves of special type. In [S] we studied equations describing Kummer surfaces in the case of an irreducible principal polarization on the abelian surface. The aim of this note is to give a treatment of the second case. We describe intermediate Kummer surfaces coming from abelian surfaces carrying a product principal polarization. In Proposition 12 we give explicit equations of these surfaces in ℙ⁵.

Keywords

ENG
Kummer surfaces, intersections of quadrics

Bibliography

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Annales Polonici Mathematici
1996/63/1
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Pages:
51-62
Main language of publication
English
Received
1994-09-10
Published
1996
Exact and natural sciences