The Zilber-Pink conjecture for pure Shimura varieties via o-minimality
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[1] David Galvin,et al. Cutting lemma and Zarankiewicz’s problem in distal structures , 2016, Selecta Mathematica.
[2] A. Wilkie,et al. Uniform parameterization of subanalytic sets and diophantine applications , 2016, Annales scientifiques de l'École normale supérieure.
[3] Pantelis E. Eleftheriou,et al. Structure theorems in tame expansions of o-minimal structures by a dense set , 2015 .
[4] Pantelis E. Eleftheriou. Small sets in dense pairs , 2017, Israel Journal of Mathematics.
[5] Density of algebraic points on Noetherian varieties , 2017, Geometric and Functional Analysis.
[6] Orit E. Raz,et al. The Elekes–Szabó Theorem in four dimensions , 2016, Israel Journal of Mathematics.
[7] Sergei Starchenko,et al. Regularity lemma for distal structures , 2015, Journal of the European Mathematical Society.
[8] The Pila–Wilkie theorem for subanalytic families: a complex analytic approach , 2016, Compositio Mathematica.
[9] A. Gabrielov,et al. Lipschitz contact equivalence of function germs in R^2 , 2017 .
[10] Orit E. Raz,et al. An o-minimal Szemerédi-Trotter theorem , 2016, ArXiv.
[11] Martin Widmer. Weak admissibility, primitivity, o-minimality, and Diophantine approximation , 2016, 1612.09467.
[12] Niclas Technau,et al. On a Counting Theorem of Skriganov , 2016, 1611.02649.
[13] Chris Miller,et al. Expansions of o-minimal structures by dense independent sets , 2016, Ann. Pure Appl. Log..
[14] Wilkie's conjecture for restricted elementary functions , 2016, 1605.04671.
[15] J. Pila,et al. Ax–Schanuel for the $j$-function , 2014, 1412.8255.
[16] F. Barroero,et al. Linear relations in families of powers of elliptic curves , 2014, 1412.3252.
[17] Saugata Basu,et al. Polynomial Partitioning on Varieties of Codimension Two and Point-Hypersurface Incidences in Four Dimensions , 2014, Discret. Comput. Geom..
[18] A. Pillay,et al. Relative Manin–Mumford for Semi-Abelian Surfaces , 2013, Proceedings of the Edinburgh Mathematical Society.
[19] D. Masser,et al. Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn) , 2015 .
[20] K. Kurdyka,et al. Curve-rational functions , 2015, 1509.05905.
[21] Marta Pieropan. Imaginary quadratic points on toric varieties via universal torsors , 2015, 1505.05789.
[22] Heights of pre-special points of Shimura varieties , 2015, 1502.00822.
[23] On Local Weyl Equivalence of Higher Order Fuchsian Equations , 2014, 1412.7830.
[24] Saugata Basu,et al. Triangulations of monotone families I: two-dimensional families , 2015 .
[25] Csaba D. Tóth. The Szemerédi-Trotter theorem in the complex plane , 2003, Comb..
[26] D. Bertrand. Generalized jacobians and Pellian polynomials , 2015 .
[27] L. Guth,et al. On the Erdős distinct distances problem in the plane , 2015 .
[28] J. Pila,et al. O-minimality and certain atypical intersections , 2014, 1409.0771.
[29] J. Pach,et al. A semi-algebraic version of Zarankiewicz's problem , 2014, 1407.5705.
[30] David Burguet,et al. Asymptotic h‐expansiveness rate of C∞ maps , 2014, 1404.1771.
[31] U. Derenthal,et al. Counting imaginary quadratic points via universal torsors , 2013, Compositio Mathematica.
[32] Marta Pieropan,et al. O-minimality on twisted universal torsors and Manin's conjecture over number fields , 2013, 1312.6603.
[33] P. Speissegger,et al. Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal , 2013, 1310.2225.
[34] Sal Barone. Some quantitative results in real algebraic geometry , 2013, 1307.8353.
[35] U. Zannier. Unlikely Intersections and Pell’s Equations in Polynomials , 2013 .
[36] Non-interlaced solutions of 2-dimensional systems of linear ordinary differential equations , 2013 .
[37] Joshua Zahl,et al. Improved bounds for incidences between points and circles , 2012, SoCG '13.
[38] A. Skorobogatov. Torsors, étale homotopy and applications to rational points , 2013 .
[39] Jonathan Pila,et al. Modular Ax-Lindemann-Weierstrass with Derivatives , 2013, Notre Dame J. Formal Log..
[40] Martin Widmer,et al. Counting Lattice Points and O-Minimal Structures , 2012, 1210.5943.
[41] G. Jones,et al. THE DENSITY OF ALGEBRAIC POINTS ON CERTAIN PFAFFIAN SURFACES , 2012 .
[42] T. L. Loi,et al. Bounds of Hausdorff Measures of Tame Sets , 2012, 1204.5744.
[43] C. Frei. Counting rational points over number fields on a singular cubic surface , 2012, 1204.0383.
[44] U. Zannier. Some Problems of Unlikely Intersections in Arithmetic and Geometry , 2012 .
[45] D. Masser,et al. Torsion points on families of squares of elliptic curves , 2012 .
[46] Martin Widmer,et al. Lipschitz class, Narrow class, and counting lattice points , 2012 .
[47] Gareth Boxall,et al. Expansions which introduce no new open sets , 2012, J. Symb. Log..
[48] M. C. Delfour,et al. Shapes and Geometries - Metrics, Analysis, Differential Calculus, and Optimization, Second Edition , 2011, Advances in design and control.
[49] Saugata Basu,et al. Semi-monotone sets , 2010, 1004.5047.
[50] Lecture 2: Stratifications in O-minimal Structures , 2010 .
[51] R. Cluckers,et al. Stability under integration of sums of products of real globally subanalytic functions and their logarithms , 2009, 0911.4373.
[52] Chris Miller,et al. Structures having o-minimal open core , 2009 .
[53] M. Edmundo,et al. The Lefschetz coincidence theorem in o-minimal expansions of fields , 2009, 1507.03534.
[54] Jonathan Pila,et al. On the algebraic points of a definable set , 2009 .
[55] Peter W. Michor,et al. The convenient setting for non-quasianalytic Denjoy–Carleman differentiable mappings☆ , 2008, 0909.5632.
[56] W. Kucharz. Rational maps in real algebraic geometry , 2009 .
[57] Harvey M. Friedman. What is o-minimality? , 2008, Ann. Pure Appl. Log..
[58] Aurélien Galateau. Une minoration du minimum essentiel sur les varietes abeliennes , 2008, 0807.0171.
[59] Evelina Viada. The intersection of a curve with a union of translated codimension-two subgroups in a power of an elliptic curve , 2008 .
[60] J. Pila,et al. Rational points in periodic analytic sets and the Manin-Mumford conjecture , 2008, 0802.4016.
[61] Charles Steinhorn,et al. Tame Topology and O-Minimal Structures , 2008 .
[62] Don Zagier,et al. The 1-2-3 of Modular Forms , 2008 .
[63] M. Waldschmidt. Elliptic Functions and Transcendence , 2008 .
[64] Saugata Basu. Combinatorial complexity in O-minimal geometry , 2007, STOC '07.
[65] Wiess Law,et al. Lipschitz Cell Decomposition in O-minimal Structures. I , 2007 .
[66] Lou van den Dries,et al. The Fields of Real and Complex Numbers with a Small Multiplicative Group , 2006 .
[67] Erratum to the paper: Mild Parameterization and the Rational Points of a Pfaff Curve , 2006 .
[68] Alex Wilkie,et al. The rational points of a definable set , 2006 .
[69] Andrea Surroca. Valeurs algébriques de fonctions transcendantes , 2006, math/0606207.
[70] Adam Parusinski,et al. Quasi-convex decomposition in o-minimal structures. Application to the gradient conjecture , 2006 .
[71] F. Cano,et al. Non-oscillating integral curves and valuations , 2005 .
[72] U. Derenthal,et al. On Manin's conjecture for a certain singular cubic surface , 2005, math/0509370.
[73] Nicolas Ratazzi. Intersection de courbes et de sous-groupes et problèmes de minoration de hauteur dans les variétés abéliennes C.M. , 2005, math/0502186.
[74] R. Pink,et al. A Common Generalization of the Conjectures of André-Oort , 2005 .
[75] Rational points on a subanalytic surface , 2005 .
[76] Jonathan Pila,et al. Integer points on the dilation of a subanalytic surface , 2004 .
[77] Alex Wilkie,et al. Quasianalytic Denjoy-Carleman classes and o-minimality , 2003 .
[78] Gaël Rémond,et al. Problème de Mordell-Lang modulo certaines sous-variétés abéliennes , 2003 .
[79] Jiri Matousek,et al. Lectures on discrete geometry , 2002, Graduate texts in mathematics.
[80] Andrea Surroca. Sur le nombre de points algébriques où une fonction analytique transcendante prend des valeurs algébriques , 2002, math/0202191.
[81] Lou van den Dries,et al. The Field of Reals with Multisummable Series and the Exponential Function , 2000 .
[82] R. Moussu,et al. Oscillation, spiralement, tourbillonnement , 2000 .
[83] A. Wilkie. TAME TOPOLOGY AND O-MINIMAL STRUCTURES (London Mathematical Society Lecture Note Series 248) By L OU VAN DEN D RIES : 180 pp., £24.95 (US$39.95, LMS Members' price £18.70), ISBN 0 521 59838 9 (Cambridge University Press, 1998). , 2000 .
[85] J. Chaumat,et al. Sur la division et la composition dans des classes ultradifférentiables , 1999 .
[86] M. Skriganov. Ergodic theory on SL(n), diophantine approximations and anomalies in the lattice point problem , 1998 .
[87] Micha Sharir,et al. On the Number of Incidences Between Points and Curves , 1998, Combinatorics, Probability and Computing.
[88] Fernando Sanz,et al. Non oscillating solutions of analytic gradient vector fields , 1998 .
[89] Lou van den Dries. Dense pairs of o-minimal structures , 1998 .
[90] Patrick Speissegger,et al. The Pfaffian closure of an o-minimal structure , 1997, math/9710220.
[91] P. Michor,et al. The Convenient Setting of Global Analysis , 1997 .
[92] Sinnou David,et al. Points de petite hauteur sur les courbes elliptiques , 1997 .
[93] L. A S Z L,et al. Crossing Numbers and Hard Erdős Problems in Discrete Geometry , 1997 .
[94] REMARKS ON GERMS IN INFINITE DIMENSIONS , 1997 .
[95] L. Dries,et al. Geometric categories and o-minimal structures , 1996 .
[96] D. Masser. Specialization of endomorphism rings of abelian varieties , 1996 .
[97] A. Wilkie. Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function , 1996 .
[98] A. Parusiński. Lipschitz stratification of subanalytic sets , 1994 .
[99] Krzysztof Kurdyka,et al. On a subanalytic stratification satisfying a Whitney property with exponent 1 , 1992 .
[100] H. Joris,et al. Quotients of smooth functions , 1990 .
[101] Enrico Bombieri,et al. The number of integral points on arcs and ovals , 1989 .
[102] J. Franke,et al. Rational points of bounded height on Fano varieties , 1989 .
[103] D. Masser. Counting points of small height on elliptic curves , 1989 .
[104] K. Kurdyka. Ensembles semi-algébriques symétriques par arcs , 1988 .
[105] Alfred Frölicher,et al. Linear Spaces And Differentiation Theory , 1988 .
[106] Y. Yomdin. Volume growth and entropy , 1987 .
[107] M. Gromov. Entropy, homology and semialgebraic geometry , 1986 .
[108] M. Kashiwara. The Riemann-Hilbert Problem for Holonomic Systems , 1984 .
[109] Endre Szemerédi,et al. Extremal problems in discrete geometry , 1983, Comb..
[110] M. Raynaud. Courbes sur une variété abélienne et points de torsion , 1983 .
[111] F. Thomas Leighton,et al. Complexity Issues in VLSI , 1983 .
[112] Joseph H. Silverman,et al. Heights and the specialization map for families of abelian varieties. , 1983 .
[113] Jan Boman. Differentiability of a Function and of its Compositions with Functions of One Variable. , 1967 .