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Results tagged with ag.algebraic-geometry
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user 119052
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
0
votes
0
answers
165
views
Surjectivity of the Albanese map of the moduli space of stable vector bundles
I have a naive question:(I saw that it is related to relative K-theory of Hodge-Deligne and also Nadel-Chern-Weil theory )
Let $\mathcal M (r, d)$ be the moduli space of stable vector bundles of rank …
- 189
3
votes
0
answers
314
views
Examples such that Albanese morphism is not well-defined
Let $X$ be a compact Kahler space(Kahler variety), then it is known that the Albanese morphism $alb_X:X\to Alb(X)$ is a well-defined morphism when $X$ has at worst rational singularities.
It there so …
- 189
4
votes
1
answer
250
views
Kodaira dimension of the base
I am looking for a proof of the following statement:
Let $f: X \to B$ be a surjective morphism between smooth projective varieties
such that $-K_X$ is nef and $B$ is non-uniruled then Kodaira dimensi …
- 1,164
10
votes
1
answer
593
views
Maximal Albanese variety
I am looking for a proof for the following statement
A smooth projective variety $X$ has maximal Albanese dimension if and
only if the cotangent bundle of $X$ is generically generated by its
…
- 4,111