English

Cohomology of complete intersections of quadrics

Algebraic Geometry 2023-05-24 v1

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.

Keywords

Cite

@article{arxiv.2305.14073,
  title  = {Cohomology of complete intersections of quadrics},
  author = {Jan Nagel},
  journal= {arXiv preprint arXiv:2305.14073},
  year   = {2023}
}