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Cohomology of complete intersections of quadrics (2305.14073v1)

Published 23 May 2023 in math.AG

Abstract: 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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