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arXiv · 2305.14073

Cohomology of complete intersections of quadrics

Jan Nagel
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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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Jan Nagel. 2023-05-23. Cohomology of complete intersections of quadrics. https://arxiv.org/abs/2305.14073

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