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Results tagged with sheaf-theory
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user 18850
For questions about sheaves on a topological space.
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vote
Accepted
Dualizing sheaf and determinant of cohomology
Recall that Serre duality says that $H^{0}(X,F)\cong H^{1}(X, K\otimes F^{*})^{*}$. So the determinant of cohomology just follows from this. However we do need slightly more machinery than Serre duali …
3
votes
Meaning of the determinant of cohomology
Let us consider the arithemetic surface case, which is already very difficult (see the recent work by Gerald Montplet, for example). In this case Faltings-Riemann-Roch established that
$$
\chi(O_{X}(D …
- 6,249