Timeline for Standard conjectures on positive characteristic
Current License: CC BY-SA 3.0
6 events
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Aug 27, 2014 at 14:57 | comment | added | anon | By the Tate conjecture, I mean the equivalent statements of 2.9 of Tate's Seattle article (the order of the pole of the zeta function is equal to the rank of a certain group of algebraic classes). This implies that numerical equivalence equals homological equivalence (ibid.). The Lefschetz standard conjecture says that a certain map of spaces of algebraic cycles is an isomorphism. The Tate conjecture (in the above form) implies that it becomes an isomorphism when tensored with $\mathbb{Q}_l$. | |
Aug 24, 2014 at 21:59 | vote | accept | M. Carmona | ||
Aug 24, 2014 at 17:15 | comment | added | abx | What about the Lefschetz type conjecture, and the comparison between numerical and homological equivalence? | |
Aug 24, 2014 at 16:47 | history | edited | anon | CC BY-SA 3.0 |
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Aug 24, 2014 at 13:34 | comment | added | abx | Could you give more precise references? | |
Aug 24, 2014 at 0:48 | history | answered | anon | CC BY-SA 3.0 |