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Results tagged with weil-conjectures
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user 519
23
votes
Can one find the hodge number by counting points over finite fields?
No, one cannot find the Hodge numbers this way.
For an example, consider $X_0$ the Kummer surface associated to a product of supersingular elliptic curves $E_1$ and $E_2$. Recall that this is the su …
- 10.5k
10
votes
How would a motivic proof of the Riemann hypothesis over finite fields go?
Look at the article:
Kleiman, S. L. Algebraic cycles and the Weil conjectures. Dix esposés sur la cohomologie des schémas, pp. 359–386. North-Holland, Amsterdam; Masson, Paris, 1968
or
Kleiman, S …
- 10.5k