20 citations · 101 across the 24 of their papers we have counts for
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The Manin constant and the modular degree
Kestutis Cesnavicius, Michael Neururer, Abhishek Saha
The Manin constant of an elliptic curve over is the nonzero integer that scales the differential determined by the normalized newform associated to $…
The -cohomology in the semistable case
Kestutis Cesnavicius, Teruhisa Koshikawa
For a proper, smooth scheme over a -adic field , we show that any proper, flat, semistable -model of whose logarithmic de Rham cohomology…
The Manin constant in the semistable case
Kestutis Cesnavicius
For an optimal modular parametrization of an elliptic curve over of conductor , Manin conjectured the agreement of two natural $\m…
Coarse base change fails for some modular curves
Kestutis Cesnavicius
For a congruence level , the formation of the modular curve , i.e., of the coarse moduli space of the level modular stack $\math…
The Manin-Stevens constant in the semistable case
Kestutis Cesnavicius
Stevens conjectured that for every optimal parametrization of an elliptic curve over of conductor , the pullback of some Néron di…
A modular description of
Kestutis Cesnavicius
As we explain, when a positive integer is not squarefree, even over the moduli stack that parametrizes generalized elliptic curves equipped with an ample cyclic su…
The remaining cases of the Kramer-Tunnell conjecture
Kestutis Cesnavicius, Naoki Imai
For an elliptic curve over a local field and a separable quadratic extension of , motivated by connections to the Birch and Swinnerton-Dyer conjecture, Kramer and Tunnel…
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 $\…
Local factors valued in normal domains
Kestutis Cesnavicius
We give an exposition of Deligne's theory of local -factors over fields and discrete valuation rings under the assumption that the theory over the complex numbers is known. We…
Selmer groups and class groups
Kestutis Cesnavicius
Let be an abelian variety over a global field of characteristic . If has nontrivial (resp. full) -rational -torsion for a prime , we exploit th…
Selmer groups as flat cohomology groups
Kestutis Cesnavicius
Given a prime number , Bloch and Kato showed how the -Selmer group of an abelian variety over a number field is determined by the -adic Tate module. In gene…