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Results tagged with arithmetic-geometry
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user 34658
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
3
votes
0
answers
293
views
What does Hodge theory tell us about simply connected surfaces of general type
Let $X$ be a smooth complex projective variety. We know that $\Omega^1_X$ has a non-zero section if and only if the abelianization of the fundamental group of X is infinite. This follows from Hodge th …
- 43
1
vote
1
answer
691
views
Can the Albanese map be anything?
Sorry for the vague title. This question is about the Albanese map from the variety $M$ of canonically polarized varieties to the set of abelian varieties. (The variety $M$ is not of finite type...)
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- 43