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Results tagged with arithmetic-geometry
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user 134710
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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votes
Accepted
Current status of independence of Betti numbers for different Weil cohomology theories
For smooth projective varieties over $k$ separably closed field this should be known: in characteristic zero due to comparisons with Betti-de Rham cohomology, in characteristic $p>0$ due to the Weil C …
- 180
1
vote
1
answer
191
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Lifts of smooth algebras
Let $(R, I)$ be a Henselian pair, with $I$ a finitely generated ideal.
We know that for any smooth $R/I$-algebra $A_0$, there exists a smooth $R$-algebra $A$ such that $A/I\simeq A_0$.
We also know …
- 180