Timeline for Cohomology of ramified double cover of $\mathbb P^n$ (reference)

7 events

when toggle format	what		by	license	comment
May 30, 2017 at 17:46	answer	added	Enrico		timeline score: 5
May 30, 2017 at 14:47	answer	added	meh		timeline score: 1
May 30, 2017 at 14:37	history	edited	Francesco Polizzi	CC BY-SA 3.0	added 11 characters in body
May 30, 2017 at 14:14	history	edited	Francesco Polizzi	CC BY-SA 3.0	deleted 8 characters in body
May 30, 2017 at 14:13	answer	added	Francesco Polizzi		timeline score: 13
May 30, 2017 at 13:40	comment	added	Jason Starr		There is an article by Dolgachev about cohomology of weighted projective spaces. Since every cyclic, degree-$e$ cover of $\mathbb{P}^n$ branched over a hypersurface of degree $de$ is itself a hypersurface of degree $e$ in a weighted projective space $\mathbb{P}(1,\dots,1,d)$, "most" of the cohomology can be computed using this. For the primitive part, there is an extension by Carlson and Toledo of the Griffiths residue calculus to complete intersections in weighted projective space, cf. Section 4 of "Discriminant Complements and Kernels of Monodromy Representations."
May 30, 2017 at 13:24	history	asked	pi_1	CC BY-SA 3.0