A special case of the Garnier system, -polarized abelian surfaces and their moduli
Pol Vanhaecke (1994)
Compositio Mathematica
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Displaying similar documents to “Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe.”
A special case of the Garnier system, -polarized abelian surfaces and their moduli
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Equations defining reducible Kummer surfaces in ℙ⁵
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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...
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Ehud De Shalit, Eyal Z. Goren (1997)
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We study a certain finitely generated multiplicative subgroup of the Hilbert class field of a quartic CM field. It consists of special values of certain theta functions of genus 2 and is analogous to the group of Siegel units. Questions of integrality of these specials values are related to the arithmetic of the Siegel moduli space.
Curves of minimal genus on a general abelian variety
Fabio Bardelli, Ciro Ciliberto, Alessandro Verra (1995)
Compositio Mathematica
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