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Items where contributor is "Habegger, Philipp"

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2016

Habegger, Philipp and Pila, Jonathan. (2016) O-minimality and certain atypical intersections. Annales Scientifiques de l'École Normale Supérieure, 49 (4). pp. 813-858.

Bainbridge, Matthew and Habegger, Philipp and Möller, Martin. (2016) Teichmüller curves in genus three and just likely intersections in \mathbf{G}_{m}^{n}\times\mathbf{G}_{a}^{n}. Publications mathematiques de l'IHES, 124 (1). pp. 1-98.

Habegger, Philipp and Jones, Gareth and Masser, David. (2016) Six unlikely intersection problems in search of effectivity. Mathematical Proceedings of the Cambridge Philosophical Society, 162 (3). pp. 447-477.

Habegger, Philipp. (2016) Quasi-equivalence of Heights and Runge's Theorem. In: Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday. Cham, pp. 257-280.

2015

Grizzard, Robert and Habegger, Philipp and Pottmeyer, Lukas. (2015) Small points and free abelian groups. International mathematics research notices, 20. pp. 10657-10679.

Habegger, Philipp. (2015) The Manin-Mumford conjecture, an elliptic curve, its torsion points & their Galois orbits. In: O-Minimality and Diophantine Geometry. Cambridge, pp. 1-40.

Habegger, Philipp. (2015) Singular Moduli that are Algebraic Units. Algebra and Number Theory, 9 (7). pp. 1515-1524.

Bays, Martin and Habegger, Philipp. (2015) A note on divisible points of curves. Transactions of the American Mathematical Society, 367 (2). pp. 1313-1328.

2014

Habegger, Philipp. (2014) The Tate-Voloch conjecture in a power of a modular curve. International Mathematics Research Notices, 2014 (12). pp. 3303-3339.

2013

Habegger, Philipp. (2013) Small height and infinite nonabelian extensions. Duke Mathematical Journal, 162 (11). pp. 2027-2076.

Habegger, Philipp. (2013) Torsion points on elliptic curves in Weierstrass form. Annali della Scuola Normale di Pisa - Classe di Scienze, 12 (3). pp. 687-715.

Habegger, Philipp. (2013) Special points on fibered powers of elliptic surfaces. Journal für die reine und angewandte Mathematik, 685. pp. 143-179.

2012

Habegger, Philipp and Pila, Jonathan. (2012) Some unlikely intersections beyond André-Oort. Compositio Mathematica, 148 (1). pp. 1-27.

2010

Bombieri, Enrico and Habegger, Philipp and Masser, David and Zannier, Umberto. (2010) A note on Maurin's theorem. Rendiconti Lincei. Matematica e Applicazioni, 21 (3). pp. 251-260.

Habegger, Philipp. (2010) Weakly bounded height on modular curves. Acta Mathematica Vietnamica, 35 (1). pp. 43-69.

2009

Habegger, Philipp. (2009) Multiplicative dependence and isolation II. The journal of the London Mathematical Society, Vol. 80, H. 2. pp. 495-513.

Habegger, Philipp. (2009) Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension. Inventiones mathematicae, Vol. 176, H. 2. pp. 405-447.

Habegger, Philipp. (2009) On the Bounded Height Conjecture. International mathematics research notices, 2009, no. 5. pp. 860-886.

Habegger, Philipp. (2009) A Bogomolov property modulo algebraic subgroups. Bulletin de la Société mathématique de France, Vol. 137, fasc. 1. pp. 93-125.

2008

Habegger, Philipp. (2008) Intersecting subvarieties of ${mathbf G}_m^n$ with algebraic subgroups. Mathematische Annalen, Vol. 342, H. 2. pp. 449-466.

2007

Habegger, Philipp. Heights and multiplicative relations on algebraic varieties. 2007, Doctoral Thesis, University of Basel, Faculty of Science.

2005

Habegger, Philipp. (2005) The equation $x+y=alpha$ in multiplicatively dependent unknowns. Acta arithmetica, Vol. 119. pp. 349-372.