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Hypersurface variations are maximal, I

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Utah, Northeastern University, 84112, Salt Lake City, UT, USA

    James A. Carlson & Ron Donagi

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  1. James A. Carlson
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  2. Ron Donagi
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Research partially supported by the National Science Foundation

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Carlson, J.A., Donagi, R. Hypersurface variations are maximal, I. Invent Math 89, 371–374 (1987). https://doi.org/10.1007/BF01389084

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  • DOI: https://doi.org/10.1007/BF01389084

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