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.
@article{bwmeta1.element.bwnjournal-article-apmv63z1p51bwm, author = {Tomasz Szemberg}, title = {Equations defining reducible Kummer surfaces in P5}, journal = {Annales Polonici Mathematici}, volume = {63}, year = {1996}, pages = {51-62}, zbl = {0855.14006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv63z1p51bwm} }
Tomasz Szemberg. Equations defining reducible Kummer surfaces in ℙ⁵. Annales Polonici Mathematici, Tome 63 (1996) pp. 51-62. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv63z1p51bwm/
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