Equations defining reducible Kummer surfaces in ℙ⁵
Annales Polonici Mathematici, Tome 63 (1996) no. 1, pp. 51-62
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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:
Kummer surfaces, intersections of quadrics
Affiliations des auteurs :
Tomasz Szemberg 1
@article{10_4064_ap_63_1_51_62,
author = {Tomasz Szemberg},
title = {Equations defining reducible {Kummer} surfaces in {\ensuremath{\mathbb{P}}⁵}},
journal = {Annales Polonici Mathematici},
pages = {51--62},
year = {1996},
volume = {63},
number = {1},
doi = {10.4064/ap-63-1-51-62},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-63-1-51-62/}
}
Tomasz Szemberg. Equations defining reducible Kummer surfaces in ℙ⁵. Annales Polonici Mathematici, Tome 63 (1996) no. 1, pp. 51-62. doi: 10.4064/ap-63-1-51-62
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