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alg-geom1994
Riemann reciprocity in higher dimensions
Yakov Karpishpan
The reciprocity law for abelian differentials of first and second kind is generalized to higher-dimensional varieties. It is shown that of a polarized variety is encod…
alg-geom1994★ 2 cited
Infinite-dimensional Lie algebras and the period map for curves
Yakov Karpishpan
We compute higher-order differentials of the period map for curves and show how they factor through the corresponding higher Kodaira-Spencer classes. Our approach is based on the i…
alg-geom1994★ 1 cited
Higher-order differentials of the period map and higher Kodaira-Spencer classes
Yakov Karpishpan
In \cite{K} we introduced two variants of higher-order differentials of the period map and showed how to compute them for a variation of Hodge structure that comes from a deformati…