119 citations
- Vrije Universiteit BrusselBE3 papers
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- Centre d’Immunologie de Marseille-LuminyFR1 paper
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- Heriot-Watt UniversityGB1 paper
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4 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…