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Results tagged with ag.algebraic-geometry
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user 9391
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
8
votes
1
answer
823
views
Flat morphisms whose fibers are affine spaces
Let $f:X \to Y$ be a flat morphism, such that each fiber is isomorphic to the affine space $\mathbb{A}^n$. Then is is true that $f$ is a Zariski affine bundle? If not, is it at least an ètale affine …
5
votes
1
answer
589
views
Mori cone of homogeneous varieties
Let $X$ be an homogeneous projective variety, written as the quotient $G/P$, where $G$ is a Lie group and $P$ is a parabolic subgroup of it. It seems it is well-known that the monoid of effective curv …
- 2,531
5
votes
2
answers
920
views
Convex varieties that are not homogeneous
A projective variety $X$ is convex, if for any $f:\mathbb{P}^1 \to X$, the group $H^1(\mathbb{P}^1, f^*(T_X))$ vanishes. A big group of examples of convex varieties is made of homogeneous varieties. A …
- 66.3k