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arxiv: math/9908079 · v2 · submitted 1999-08-16 · 🧮 math.AG · math.DG

On the Griffiths-Harris conjecture on varieties with degenerate Gauss mappings

classification 🧮 math.AG math.DG
keywords varietiesdegenerateexamplesgaussmappingsassertedconjecturecounter-examples
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We exhibit examples of projective varieties with degenerate Gauss mappings and determine numerical invariants of such varieties. Our examples provide counter-examples to an asserted structure theorem of Griffiths and Harris (Ann. Sci. ENS 1979).

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