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Results tagged with ag.algebraic-geometry
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user 91343
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
2
answers
1k
views
BSD and generalisation of Gross-Zagier formula
The classical Gross-Zagier formula and the modularity theorem leads to a proof of half-BSD (i.e. an inequality and not equality) for elliptic curves of analytic rank 0.
The Gross-Zagier formula gives …
- 50.6k
5
votes
1
answer
636
views
Brauer group of a product of curves
By a famous theorem of Tate, we know that the Tate conjecture holds for a product of curves over a finite field.
But this implies that the Brauer group of a product of curves (over finite field) is f …
- 11
5
votes
1
answer
374
views
A simplified proof of a BSD inequality in char $p$?
One of the main results of the BSD conjecture in characteristic $p>0$ is the fact that the algebraic rank is less or equal than the analytic rank and that there is an equality iff the $\ell$-torsion ( …
CommunityBot
- 1