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math.AG2012★ 1 cited
Effective de Rham Cohomology - The General Case
Peter Scheiblechner
Grothendieck has proved that each class in the de Rham cohomology of a smooth complex affine variety can be represented by a differential form with polynomial coefficients. After h…
math.AG2009★ 1 cited
Castelnuovo-Mumford Regularity and Computing the de Rham Cohomology of Smooth Projective Varieties
Peter Scheiblechner
We describe a parallel polynomial time algorithm for computing the topological Betti numbers of a smooth complex projective variety . It is the first single exponential time alg…