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Showing 2012 · math.AGShow all
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math.AG2012★ 53 cited
Betti numbers of random real hypersurfaces and determinants of random symmetric matrices
Damien Gayet, Jean-Yves Welschinger
We asymptotically estimate from above the expected Betti numbers of random real hypersurfaces in smooth real projective manifolds. Our upper bounds grow as the square root of the d…
math.AG2012
The coherent cohomology ring of an algebraic group
Michel Brion
Let be a group scheme of finite type over a field, and consider the cohomology ring with coefficients in the structure sheaf. We show that is a free module of…