Results 31 to 40 of about 3,689,614 (284)
First-order definitions in function fields over anti-Mordellic fields
A field k is called anti-Mordellic if every smooth curve over k with a k-point has infinitely many k-points. We prove that for a function field over an anti-Mordellic field, the subfield of constants is defined by a certain universal first order formula.
Poonen, Bjorn, Pop, Florian
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Phylogenetic diversity of plants alters the effect of species richness on invertebrate herbivory [PDF]
Long-standing ecological theory proposes that diverse communities of plants should experience a decrease in herbivory. Yet previous empirical examinations of this hypothesis have revealed that plant species richness increases herbivory in just as many ...
Russell Dinnage
doaj +2 more sources
Excellence of function fields of conics
For every generalized quadratic form or hermitian form over a division algebra, the anisotropic kernel of the form obtained by scalar extension to the function field of a smooth projective conic is defined over the field of constants.
Merkurjev, Alexander S. +1 more
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Extended Genus Fields of Abelian Extensions of Rational Function Fields
In this paper, we obtain the extended genus field of a finite abelian extension of a global rational function field. We first study the case of a cyclic extension of prime power degree. For the general case, we use the fact that the extended genus fields
Juan Carlos Hernandez-Bocanegra +1 more
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Towers of Function Fields over Non-prime Finite Fields [PDF]
Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara's quantity $A(\ell)$, for $\ell = p^n$ with $p$ prime and $n>3$
Bassa, Alp +3 more
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ABSTRACT Background and Aims Wilms tumour (WT) has excellent event‐free and overall survival (OS). However, small differences exist between countries participating in the same international study. This led us to examine variation in adherence to protocol recommendations as a potential contributing factor.
Suzanne Tugnait +23 more
wiley +1 more source
Abelian Function Fields on Jacobian Varieties
The aim of this paper is an exposition of fields of multiply periodic, or Kleinian, ℘-functions. Such a field arises on the Jacobian variety of an algebraic curve, providing natural algebraic models for the Jacobian and Kummer varieties, possessing the ...
Julia Bernatska
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ABSTRACT Background Nurses are central to cancer care for children and adolescents, yet no comprehensive synthesis has defined essential core competencies for pediatric oncology nursing (PON) practice internationally, particularly in Latin America and the Caribbean (LAC).
Luís Carlos Lopes‐Júnior +7 more
wiley +1 more source
ABSTRACT Background Kaposiform lymphangiomatosis (KLA) is an aggressive complex lymphatic anomaly. Patients exhibit malformed lymphatic vessels and often develop hemorrhagic effusions and elevated angiopoietin‐2 (Ang‐2) levels. A somatic NRAS p.Q61R (NRASQ61R) mutation has been associated with KLA.
C. Griffin McDaniel +3 more
wiley +1 more source
A Note on Extended Genus Fields of Kummer Extensions of Global Rational Function Fields
We consider the generalization of the extended genus field of a prime degree cyclic Kummer extension of a global rational function field obtained by R. Clement in 1992 to general Kummer extensions.
Martha Rzedowski-Calderón +1 more
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