Results 61 to 70 of about 3,799,599 (344)
Modular curves of prime-power level with infinitely many rational points [PDF]
, 2016 For each open subgroup $G$ of ${\rm GL}_2(\hat{\mathbb{Z}})$ containing $-I$ with full determinant, let $X_G/\mathbb{Q}$ denote the modular curve that loosely parametrizes elliptic curves whose Galois representation, which arises from the Galois action ...
Andrew V. Sutherland, D. Zywina
semanticscholar +1 more source
K3 surfaces, rational curves, and rational points
Journal of Number Theory, 2010 10 pages, no figures. An explicit construction of an algebraic point lying on no smooth rational curves has been added to the end, and there have been minor revisions to the rest of the ...
Baragar, Arthur, McKinnon, David
openaire +3 more sources
Effective equidistribution of rational points on expanding horospheres [PDF]
, 2016 Einsiedler, Mozes, Shah and Shapira [Compos. Math. 152 (2016), 667-692] prove an equidistribution theorem for rational points on expanding horospheres in the space of d-dimensional Euclidean lattices, with d>2. Their proof exploits measure classification
Min Ho Lee, J. Marklof
semanticscholar +1 more source
Homotopy obstructions to rational points [PDF]
, 2013 In this paper we propose to use a relative variant of the notion of the étale homotopy type of an algebraic variety in order to study the existence of rational points on it. In particular, we use an appropriate notion of homotopy fixed points in order to construct obstructions to the local-global principle.
Harpaz, Yonatan, Schlank, Tomer M.
openaire +3 more sources
Uniform bounds for the number of rational points on curves of small Mordell–Weil rank [PDF]
, 2015 Let $X$ be a curve of genus $g\geq 2$ over a number field $F$ of degree $d = [F:Q]$. The conjectural existence of a uniform bound $N(g,d)$ on the number $\#X(F)$ of $F$-rational points of $X$ is an outstanding open problem in arithmetic geometry, known ...
Eric Katz +2 more
semanticscholar +1 more source
Distribution of rational points of bounded height on equivariant compactifications of PGL2 I [PDF]
Research in Number Theory, 2015 We study the distribution of rational points of bounded height on a one-sided equivariant compactification of PGL2 using automorphic representation theory of PGL2.
Ramin Takloo-Bighash, Sho Tanimoto
semanticscholar +1 more source
A Bibliometric Analysis of Publications in Uremic Toxins From 1991 to 2024
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Uremic toxins are a growing area of research in nephrology, with significant implications in the progression and treatment of chronic kidney disease (CKD) and the management of end‐stage kidney disease (ESKD). This bibliometric analysis aims to evaluate the global research trends, key contributors, and the impact of publications in ...
Yuh‐Shan Ho +7 more
wiley +1 more source
Preperiodic points for rational functions defined over a rational function field of characteristic zero [PDF]
, 2015 Let k be an algebraically closed field of characteristic zero. Let K be the rational function field K=k(t). Let ϕ be a nonisotrivial rational function in K(z).
Canci, Jung Kyu
core
On the measurable dynamics of real rational functions [PDF]
, 2003 Let f be a real rational function with all critical points on the extended real axis and of even order. Then: (1) f carries no invariant line field on the Julia set unless it is doubly covered by an integral torus endomorphism (a Lattés example); and
Shen, Weixiao, Weixiao Shen
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