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For questions about or involving fibrations which are maps which satisfy the homotopy lifting property for all spaces.

6 votes
2 answers
2k views

Isotrivial fibrations over $\mathbb P^1$

$S$ is a smooth complex projective surface with a fibration $f$ over $\mathbb P^1(\mathbb C)$. … (In this case I think that $f$ is called a stable fibration.) Under the above hypotheses I have to prove (or disprove) that the fibration $f$ can't be isotrivial. …
Ginevra Carbone's user avatar
6 votes
1 answer
852 views

Shafarevich conjecture for abelian varieties

In the paper "Arakelov's theorem for abelian varieties" Faltings proves the Shafarevich conjecture for abelian varieties. The statement is the following: Let B be smooth projective a curve, S a …
Ginevra Carbone's user avatar