Hypersurface variations are maximal,I |
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Authors: | James A Carlson Ron Donagi |
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Institution: | (1) Department of Mathematics, University of Utah, Northeastern University, 84112 Salt Lake City, UT, USA |
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Abstract: | Summary The variation of Hodge structure defined by the natural family of hypersurfaces of degreed and dimensionn is maximal if the cohomology has Hodge level >1. There is a small list of hypersurfaces of level one which give non-maximal variations: plane curves of degreed 5, cubics of dimension 3 and 5, and quartic threefolds.Research partially supported by the National Science Foundation |
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