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2001, Lecture notes in mathematics, ISBN 3540420355, Volume 1761., vi, 142
It is an historical goal of algebraic number theory to relate all algebraic extensionsofanumber?eldinauniquewaytostructuresthatareexclusively described in... 
Ideals (Algebra) | Torsion theory (Algebra) | Decomposition (Mathematics) | Algebraic Geometry | Geometry, algebraic | Number theory
Book
Duke Mathematical Journal, ISSN 0012-7094, 07/2011, Volume 159, Issue 1, pp. 1 - 29
In this article, we combine complex-analytic and arithmetic tools to study the preperiodic points of 1-dimensional complex dynamical systems... 
TORSION ANOMALOUS POINTS | MATHEMATICS | EQUIDISTRIBUTION | THEOREM | FAMILIES | DYNAMICS | CANONICAL HEIGHTS | RATIONAL MAPS | DIFFERENCE FIELDS | DESCENT | 11S80 | 37F10 | 11G50 | 31A99
Journal Article
Geometric and functional analysis, ISSN 1420-8970, 2019, Volume 29, Issue 1, pp. 72 - 118
...–Wilkie theorem for sets defined using Noetherian equalities and inequalities: for any $${\varepsilon > 0}$$ ε > 0 , the number of points of height H in the transcendental part of the set... 
Mathematics | Primary 03C64 | Analysis | 34C10 | 11G18 | MATHEMATICS | ANDRE-OORT CONJECTURE | RATIONAL-POINTS | VOLUME GROWTH | NUMBER | TORSION POINTS | THEOREM | BOUNDS | FAMILIES | DIFFERENTIAL-EQUATIONS | ZEROS
Journal Article
Mathematische annalen, ISSN 1432-1807, 2019, Volume 374, Issue 3-4, pp. 2005 - 2040
...-Kähler geometry, as it is a flow of conformally balanced metrics whose stationary points are precisely Kähler metrics... 
Mathematics, general | Mathematics | EXISTENCE | MATHEMATICS | COMPLEX | NONLINEAR ELLIPTIC-EQUATIONS | CURVATURE | TORSION | CONVERGENCE | MANIFOLDS | MONGE-AMPERE EQUATION
Journal Article
2001, Cambridge tracts in mathematics, ISBN 0521802377, Volume 144., viii, 187
The classical descent on curves of genus one can be interpreted as providing conditions on the set of rational points of an algebraic variety X defined over a number field, viewed as a subset of its adelic points... 
Rational points (Geometry) | Torsion theory (Algebra)
Book
Transactions of the American Mathematical Society, ISSN 0002-9947, 12/2017, Volume 369, Issue 12, pp. 8457 - 8496
... points on elliptic curves with complex multiplication (CM) initiated by the last two authors in collaboration with B. Cook, P. Corn and A. Rice TORS1, TORS2... 
MATHEMATICS | RATIONAL TORSION | ABELIAN-VARIETIES | COMPLEX-MULTIPLICATION | BOUNDS
Journal Article
Mathematische annalen, ISSN 0025-5831, 2015, Volume 361, Issue 1-2, pp. 211 - 258
We present a method to control gonality of nonarchimedean curves based on graph theory. Let k denote a complete nonarchimedean valued field.We first prove a... 
14G05 | 05C50 | 11G18 | 11G09 | 14H51 | 11G30 | 14G22 | MATHEMATICS | REDUCTION | ANALOG | TREEWIDTH | JACOBIANS | TORSION | FUNDAMENTAL DOMAINS | GONALITY | DRINFELD MODULES | CONJECTURE | GRAPHS | Analysis | Equality
Journal Article
Journal of Number Theory, ISSN 0022-314X, 12/2016, Volume 169, pp. 103 - 133
...]) the field obtained by adding to K the coordinates of the points of E[m]. Let Pi:=(xi,yi) (i=1,2) be a Z-basis for E[m]; then Km=K(x1,y1,x2,y2). We look for small sets of generators for Km inside... 
Galois representations | Torsion points | Elliptic curves | MATHEMATICS | Electric generators
Journal Article
International Journal of Modern Physics D, ISSN 0218-2718, 06/2018, Volume 27, Issue 8, p. 1850077
We have recently proposed a new action principle for combining Einstein equations and the Dirac equation for a point mass... 
gyromagnetic ratio | Kerr-Newman black holes | torsion | Dirac equation | Einstein-Cartan-Sciama-Kibble theory | QUANTUM | ASTRONOMY & ASTROPHYSICS
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 10/2019, Volume 15, Issue 9, pp. 1801 - 1826
In 1983, Silverman and Tate showed that the set of points in a 1-dimensional family of abelian varieties where a section of infinite order has “small height” is finite... 
torsion points | abelian varieties | Heights | MATHEMATICS | CANONICAL HEIGHT | CURVES
Journal Article
Manuscripta Mathematica, ISSN 0025-2611, 07/2017, Volume 153, Issue 3-4, pp. 323 - 330
To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/s00229-016-0887-2 We prove... 
14K05 | Secondary 14K30 | Primary 11G10
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 12/2016, Volume 144, Issue 12, pp. 5141 - 5158
.... We prove a bound for the cardinality of the set of K-rational preperiodic points for \phi in terms of the number of places of bad reduction... 
DIVISIBILITY | MATHEMATICS | ELLIPTIC-CURVES | MATHEMATICS, APPLIED | MAPS | BOUNDS | LINEAR-EQUATIONS | CYCLES | TORSION | MULTIPLICATIVE GROUPS | PERIODIC POINTS
Journal Article
Acta Mechanica, ISSN 0001-5970, 1/2016, Volume 227, Issue 1, pp. 263 - 273
Journal Article
Journal of the European Mathematical Society, ISSN 1435-9855, 2015, Volume 17, Issue 9, pp. 2379 - 2416
In recent papers we proved a special case of a variant of Pink's Conjecture for a variety inside a semiabelian scheme, namely for any curve inside anything... 
Jacobian variety | Abelian surface scheme | Torsion point | Chabauty's theorem | Pell equation | abelian surface scheme | MATHEMATICS | RATIONAL-POINTS | MATHEMATICS, APPLIED
Journal Article
International Journal of Algebra and Computation, ISSN 0218-1967, 09/2014, Volume 24, Issue 6, pp. 879 - 891
.... We show that any non-trivial torsion point of order r, determines up to equivalence, a unique minimal matrix Φr of size 3r... 
torsion points | matrix representations | Vector bundles | elliptic curves | MATHEMATICS | BUNDLES | Polynomials | Combustion | Algebra | Equivalence | Computation | Torsion
Journal Article
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, ISSN 1120-6330, 2016, Volume 27, Issue 2, pp. 249 - 250
Journal Article
Scientific Reports, ISSN 2045-2322, 12/2017, Volume 7, Issue 1, pp. 5881 - 13
Journal Article
2000, Memoirs of the American Mathematical Society, ISBN 9780821820902, Volume no. 699., xi, 146
Book
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