In this paper we address the problem of a-migrativity (for a fixed a) for semicopulas, cop-ulas and quasi-copulas. We introduce the concept of an a-sum of semicopulas. This new concept allows us to completely characterize a-migrative semicopulas and copulas. Moreover , a-sums also provide a means to obtain a partial characterization of a-migrative… (More)
Given an odd surjective Galois representation ̺ : G Q → PGL 2 (F 3) and a positive integer N, there exists a twisted modular curve X(N, 3) ̺ defined over Q whose rational points classify the quadratic Q-curves of degree N realizing ̺. The paper gives a method to provide an explicit plane quartic model for this curve in the genus-three case N = 5.
The Cell Index Database, (CELLX) (http://cellx.sourceforge.net) provides a computational framework for integrating expression, copy number variation, mutation, compound activity, and meta data from cancer cells. CELLX provides the computational biologist a quick way to perform routine analyses as well as the means to rapidly integrate data for offline… (More)
a r t i c l e i n f o a b s t r a c t We derive equations for the modular curve X ns (11) associated to a non-split Cartan subgroup of GL 2 (F 11). This allows us to compute the automorphism group of the curve and show that it is isomorphic to Klein's four group.
Pleomorphic xanthoastrocytoma (PXA), an uncommon glial neoplasm, typically affects adolescents and young adults and accounts for less than 1% of all astrocytic neoplasms. The authors present a case of PXA located entirely in the third ventricle in a 24-year-old male patient. The patient presented with a 6-month history of headaches, progressive decline in… (More)
A moduli approach to quadratic Q-curves realizing projective mod p Galois representations Abstract For a fixed odd prime p and a representation ̺ of the absolute Galois group of Q into the projective group PGL 2 (F p), we provide the twisted modular curves whose rational points supply the quadratic Q-curves of degree N prime to p that realize ̺ through the… (More)
Generically, one can attach to a Q-curve C octahedral representations ρ : Gal(Q/Q) −→ GL 2 (F 3) coming from the Galois action on the 3-torsion of those abelian varieties of GL 2-type whose building block is C. When C is defined over a quadratic field and has an isogeny of degree 2 to its Galois conjugate, there exist such representations ρ having image… (More)
OBJECTIVE The aim of this study is to describe the results of 16 patients with posterior fossa hemangioblastoma, treated with microsurgical techniques. METHOD Between June 2005 and December 2015, 16 patients with posterior fossa hemangioblastoma were operated on, underwent microsurgical resection. The sex, age, imaging findings, symptoms, and… (More)