20 citations · 101 across the 24 of their papers we have counts for
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Poitou-Tate without restrictions on the order
Kestutis Cesnavicius
The Poitou-Tate sequence relates Galois cohomology with restricted ramification of a finite Galois module over a global field to that of the dual module under the assumption th…
-Selmer growth in extensions of degree
Kestutis Cesnavicius
There is a known analogy between growth questions for class groups and for Selmer groups. If is a prime, then the -torsion of the ideal class group grows unboundedly in $\ma…
Topology on cohomology of local fields
Kestutis Cesnavicius
Arithmetic duality theorems over a local field are delicate to prove if . In this case, the proofs often exploit topologies carried by the cohomology group…
The -parity conjecture over the constant quadratic extension
Kestutis Cesnavicius
For a prime and an abelian variety over a global field , the -parity conjecture predicts that, in accordance with the ideas of Birch and Swinnerton-Dyer, the $\…