Results 71 to 80 of about 1,231,297 (284)
Exceptional covers and bijections on rational points
, 2007 We show that if f: X --> Y is a finite, separable morphism of smooth curves defined over a finite field F_q, where q is larger than an explicit constant depending only on the degree of f and the genus of X, then f maps X(F_q) surjectively onto Y(F_q) if ...
E. Zieve +3 more
core +3 more sources
Molecular Oncology, EarlyView.Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova +25 more
wiley +1 more source
Rational torsion points on abelian surfaces with quaternionic multiplication
Forum of Mathematics, SigmaLet A be an abelian surface over ${\mathbb {Q}}$ whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur’s theorem for elliptic curves, we show that the torsion subgroup of $A({\mathbb {Q}})$
Jef Laga +3 more
doaj +1 more source
Interpolation method for quaternionic-Bezier curves
Lietuvos Matematikos Rinkinys, 2018 We study rational quaternionic-Bézier curves in three dimensional space. We construct the quadratic quaternionic-Bézier curve which interpolates five points, or three points and two tangent vectors.
Severinas Zube
doaj +1 more source
Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Molecular Oncology, EarlyView.Targeted therapy was evaluated in SHH medulloblastoma using neuroepithelial stem cell (NES) and tumor‐derived NES‐like (tNES) models in 2D monolayers and 3D spheroids. PI3K, AKT, and CDK4/6 inhibitors had minimal effects in NES but markedly reduced viability and growth and induced apoptosis in tNES cells, revealing distinct therapeutic vulnerabilities.
Monika Lukoseviciute +4 more
wiley +1 more source
(G,F)-points on ℚ-algebraic varieties [PDF]
Notes on Number Theory and Discrete MathematicsLet ℚ be the field of rational numbers, and let C be an algebraically closed field containing ℚ. Let G ∈ ℚ[x,y,z] be a polynomial, then the zero set of G is Z(G) = {P ∈ Cⁿ | G(P) = 0}.
Yangcheng Li, Hongjian Li
doaj +1 more source
Density of rational points on Enriques surfaces
, 1998 Let $X$ be an Enriques surface defined over a number field $K$. Then there exists a finite extension $K'/K$ such that the set of $K'$-rational points of $X$ is Zariski dense.Comment: 8 pages ...
Bogomolov, F., Tschinkel, Yu.
core +1 more source
Hippo pathway at the crossroads of stemness and therapeutic resistance in breast cancer
Molecular Oncology, EarlyView.Dysregulation of the Hippo pathway drives nuclear accumulation of YAP/TAZ, activating stemness‐related transcriptional programs that sustain breast cancer stemness and fuel therapeutic resistance across subtypes, underscoring Hippo signaling as a targetable vulnerability. Figure created and edited with BioRender.com.
Giulia Schiavoni +11 more
wiley +1 more source
Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces
Discrete Dynamics in Nature and Society, 2015 The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces.
Mujahid Abbas +2 more
doaj +1 more source