Degenerations of ( 1 , 3 ) abelian surfaces and Kummer surfaces

نویسنده

  • G. K. Sankaran
چکیده

We study degenerations of Kummer surfaces associated to certain divisors in Nieto’s quintic threefold and show how they arise from boundary components of a suitable toroidal compactification of the corresponding Siegel modular threefold. The aim of this paper is to study the degenerations of an interesting class of Kummer surfaces in P in terms of degenerations of the corresponding abelian surfaces. The quintic threefold in P given by

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تاریخ انتشار 1999