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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

4 votes
1 answer
268 views

How do non-trivial global differentials give non-trivial cohomology classes in positive char...

Let $k$ be an algebraically closed field and let $X$ be an $n$-dimensional smooth projective variety over $k$. If $k= \mathbb C$, there is a natural injective morphism of vector spaces $$H^0(X,\Ome …