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Results tagged with arithmetic-geometry
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user 80575
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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answer
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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 …
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