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Results tagged with ag.algebraic-geometry
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user 49983
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
9
votes
Accepted
Does a complex Fano manifold have simplicial Mori cone when all extremal contractions are fi...
I think that this is open in general, and that one would expect the answer to be positive. Related references are:
MR1103910 Wiśniewski, Jarosław A.,
On contractions of extremal rays of Fano manifol …
10
votes
Pseudo-automorphisms on Fano varieties
This is also true for every smooth Fano variety $X$, with any Picard number. One can see it using Mori dream spaces: $X$ is a Mori dream space (by BCHM), and hence has (up to isomorphisms) only finite …
5
votes
Accepted
blow-up of $\mathbb{P}^5$ as a projective bundle
Consider the six points $p_0=(1:0:0:0:0:0)$, $p_1=(0:1:0:0:0:0)$, and similarly $p_2,\dotsc,p_5$. Then one can take the 3 lines $\overline{p_0p_1}$, $\overline{p_2p_3}$, and $\overline{p_4p_5}$, which …