Results 71 to 80 of about 4,471 (200)
Dynamics on supersingular K3 surfaces and automorphisms of Salem degree 22
, 2015 In this note we exhibit explicit automorphisms of maximal Salem degree 22 on the supersingular K3 surface of Artin invariant one for all primes p congruent 3 mod 4 in a systematic way.
Brandhorst, Simon
core +1 more source
Non Supersingular Elliptic Curves for Public Key Cryptosystems [PDF]
, 2007 For public key cryptosystems multiplication on elliptic curves can be used instead of exponentiation in finite fields. One attack to such a system is embedding the elliptic curve group into the multiplicative group of a finite field via weilpairing; calculating the discrete logarithm on the curve by solving the discrete logarithm in the finite field ...
Beth, Thomas, Schaefer, Frank
openaire +1 more source
Non-commutative p-adic L-functions for supersingular primes
, 2012 Let E/Q be an elliptic curve with good supersingular reduction at p with a_p(E)=0. We give a conjecture on the existence of analytic plus and minus p-adic L-functions of E over the Zp-cyclotomic extension of a finite Galois extension of Q where p is ...
ANTONIO LEI, Haran S., Serre J.-P.
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Shimura curves and explicit descent obstructions via level structure [PDF]
, 2015 We give large families of Shimura curves defined by congruence conditions, all of whose twists lack $p$-adic points for some $p$. For each such curve we give analytically large families of counterexamples to the Hasse principle via the descent (or ...
Stankewicz, James
core
On the Existence of Supersingular Curves of Given Genus [PDF]
, 1994 We give a method to construct explicitly a supersingular curve of given genus g in characteristic 2.Comment: 9 pages, plain TeX, UvA-report 94 ...
van der Geer, Gerard +1 more
core +3 more sources
Complex Multiplication Tests for Elliptic Curves
, 2004 We consider the problem of checking whether an elliptic curve defined over a given number field has complex multiplication. We study two polynomial time algorithms for this problem, one randomized and the other deterministic. The randomized algorithm can
Charles, Denis
core +1 more source
On the vanishing of cohomologies of $p$-adic Galois representations associated with elliptic curves
, 2014 Let $K$ be a $p$-adic field and $E$ an elliptic curve over $K$ with potential good reduction. For some large Galois extensions $L$ of $K$ containing all $p$-power roots of unity, we show the vanishing of certain Galois cohomology groups of $L$ with ...
Dimabayao, Jerome T.
core
Orienteering with One Endomorphism. [PDF]
Mathematica (N Y), 2023 Arpin S +5 more
europepmc +1 more source
The algebraic functional equation of an elliptic curve at supersingular primes [PDF]
, 2008 Byoung Du Kim
openalex +1 more source