We give effective upper bounds for the number of purely inseparable points on non isotrivial curves over function fields positive characteristic and transcendence degree one. These depend genus curve, field bad reduction curve.

Abstract We compute and provide a detailed description on the Jordan constants of multiplicative subgroup quaternion algebras over number fields small degree. As an application, we determine endomorphism simple abelian surfaces positive characteristic.

The monodromy method—featuring braid group action—first appeared as a moduli space approach for finding solutions of arithmetic problems that produce reducible variables separated curves. Examples in this paper illustrate its most interesting aspect: investigating the moduli space of exceptions to a specific diophantine outcome. Explicit versions of Hilbert’s irreducibility theorem and Davenpor...

The monodromy method|featuring braid group action||rst appeared as a moduli space approach for nding solutions of arithmetic problems that produce reducible variables separated curves. Examples in this paper illustrate its most interesting aspect: investigating the moduli space of exceptions to a speciic diophantine outcome. Explicit versions of Hilbert's irreducibility theorem and Davenport's ...

Lymphocytes from patients with multiple sclerosis are sensitized to carcinoembryonic antigen (C.E.A.) in almost the same degree as are those from subjects with cancer. During pregnancy and the early puerperium there is an even higher degree of cellular sensitization to C.E.A. Patients with neurological diseases other than multiple sclerosis also show significant sensitization to C.E.A. though o...

We explore the relation between cohomology jump loci in a finite Galois cover, formality properties and algebraic monodromy action. We show that the jump loci of the base and total space are essentially the same, provided the base space is 1-formal and the monodromy action in degree 1 is trivial. We use reduced multinet structures on line arrangements to construct components of the first charac...

We implement the concept of topological degree to isolate and compute all zeros of systems of nonlinear algebraic equations when the only computable information required is the algebraic signs of the components of the function. The basic theorems of Kronecker–Picard theory relate the number of roots to the topological degree. They are combined with grid methods in order to compute the topologic...

We show that a closed finite index subgroup of free proalgebraic group is itself group. As an application, we prove the absolute differential Galois one-variable function field over algebraically characteristic zero infinite transcendence degree

Recently two new degree concepts have been defined in graph theory: ev-degree and ve-degree. Also the evdegree and ve-degree Zagreb and Randić indices have been defined very recently as parallel of the classical definitions of Zagreb and Randić indices. It was shown that ev-degree and ve-degree topological indices can be used as possible tools in QSPR researches . In this paper we d...

ROC Curves (Receiver Operating Characteristic) are remarkably useful in medical decision-making. Given a common measurable characteristic, with a continuous output in all the beings of a group, ROC curves determine a threshold on the values of the characteristic, which tries to predict the classification of beings into discrete classes. In the Facultad de Informática of Valencia (Spain), we hav...