365 citations
- California Institute of TechnologyUS4 papers
- University of British ColumbiaCA4 papers
- Berkeley CollegeUS3 papers
- Universidad Braulio CarrilloCR3 papers
- University of BristolGB3 papers
- Vrije Universiteit BrusselBE3 papers
- Brown UniversityUS2 papers
- Massachusetts Institute of TechnologyUS2 papers
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- Perimeter InstituteCA2 papers
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6 papers · 1 filter
Note on the rational points of a pfaff curve
Jonathan Pila
Let X be the graph in the plane of a pfaffian function f (in the sense of Khovanskii). Suppose X is not algebraic. This note gives an upper bound for the number of rational points…
Galois Groups Via Atkin-Lehner Twists
Pete L. Clark
Using Serre's proposed complement to Shih's Theorem, we obtain PSL_2(F_p) as a Galois group over Q for at least 614 new primes p. Under the assumption that rational elliptic curves…
Demuskin groups, Galois modules, and the elementary type conjecture
John Labute, Nicole Lemire, Jan Minac +1
Let p be a prime and F(p) the maximal p-extension of a field F containing a primitive p-th root of unity. We give a new characterization of Demuskin groups among Galois groups Gal(…
The period-index problem in WC-groups I: elliptic curves
Pete L. Clark
Let E/K be an elliptic curve defined over a number field, and let p be a prime number such that E(K) has full p-torsion. We show that the order of the p-part of the Shafarevich-Tat…
A Gluing Lemma And Overconvergent Modular Forms
Payman L Kassaei
We prove a gluing lemma for sections of line bundles on a rigid analytic variety. We apply the lemma, in conjunction with a result of Buzzard's, to give a proof of (a generalizatio…
A Gel'fond type criterion in degree two
Benoit Arbour, Damien Roy
We establish a criterion for a complex number to be algebraic over Q of degree at most two. It requires that, for any sufficiently large real number X, there exists a non-zero poly…