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Results tagged with intersection-cohomology
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user 1310
4
votes
Hodge theoretic properties of intersection cohomology
As dhy suggested in a comment, this is indeed true and it is part of what Saito proved in his formalism of mixed Hodge modules. A mixed Hodge module is essentially a perverse sheaf carrying something …
- 40.2k
2
votes
Example to show that the inverse image under a finite morphism is not t-exact with respect t...
My idea was to consider $f \colon X \to Y$ of dimension $d$ such that $a_Y^\ast \mathbf Q[d] \cong IC_Y$ but $a_X^\ast \mathbf Q[d] \not\cong IC_X$, where $a$ denotes the map to a point and all functo …
- 40.2k
2
votes
on a characterisation of the intersection complex
This should fail already in the simplest case when $X = \mathbb A^1$ and $U$ is the complement of a point. Namely, the trivial local system on $U$ and the point admits several different gluings to a p …
- 40.2k