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arXiv:2305.14073 [math.AG]AbstractReferencesReviewsResources

Cohomology of complete intersections of quadrics

Jan Nagel

Published 2023-05-23Version 1

We show that the variable cohomology of a general complete intersection of quadrics can be identified with the intersection cohomology of a double covering. As a consequence, we show that the middle cohomology of a general complete intersection of four quadrics in an odd-dimensional projective space is isomorphic to the middle cohomology of a resolution of singularities of a double solid.

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