Browse by Basel Contributors ID

Article

Cantat, Serge and Gao, Ziyang and Habegger, Philipp and Xie, Junyi. (2020) The geometric Bogomolov conjecture. Duke Mathematical Journal, 170 (2). pp. 247-277.

Habegger, Philipp and Ih, Su-ion. (2019) Distribution of integral division points on the algebraic torus. Transactions of the American Mathematical Society, 371. pp. 357-386.

Dimitrov, Vesselin and Gao, Ziyang and Habegger, Philipp. (2019) Uniform Bound for the Number of Rational Points on a Pencil of Curves. International mathematics research notices. rnz248.

Habegger, Philipp. (2018) The Norm of Gaussian Periods. The Quaterly Journal of Mathematics , 69 (1). pp. 153-182.

Bilu, Yuri and Habegger, Philipp and Kühne, Lars. (2018) No singular modulus is a unit. International Mathematics Research Notices. rny274.

Habegger, Philipp and Jones, Gareth and Masser, David. (2017) Six unlikely intersection problems in search of effectivity. Mathematical Proceedings of the Cambridge Philosophical Society, 162 (3). pp. 447-477.

Habegger, Philipp and Pazuki, Fabien. (2017) Bad reduction of genus 2 curves with CM jacobian varieties. Compositio Mathematica, 153. pp. 2534-2576.

Habegger, Philipp. (2017) Diophantine Approximations on Definable Sets. Selecta mathematica, 24. pp. 1633-1675.

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.

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) 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.

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

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.

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

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.

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.

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

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

Book Section

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.

Habegger, Philipp. (2016) Effective Height Upper Bounds on Algebraic Tori. In: Around the Zilber-Pink conjecture, 52. Paris, pp. 167-242.

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. (2007) Multiplicative dependence and isolation I. In: Diophantine Geometry. Proceedings. Pisa, pp. 189-196.

Thesis

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

Preprint

Gao, Ziyang and Habegger, Philipp. (2019) Heights in families of abelian varieties and the geometric Bogomolov conjecture. Preprints Fachbereich Mathematik, 2019 (02).

Habegger, Philipp. (2016) Diophantine approximations on definable sets. Preprints Fachbereich Mathematik, 2016 (23).

Bainbridge, Matt and Habegger, Philipp and Möller, Martin. (2016) Teichmüller curves in genus three and just likely intersections in ${\bf G}_m^n\times{\bf G_a}^n$. Preprints Fachbereich Mathematik, 2016 (08).

Habegger, Philipp. (2016) The norm of a Gaussian periods. Preprints Fachbereich Mathematik, 2016 (22).

Habegger, Philipp and Pazuki, Fabien. (2015) Bad reduction of genus 2 curves with CM jacobian varieties. Preprints Fachbereich Mathematik, 2015 (25).

Habegger, Philipp and Pila, Jonathan. (2015) O-minimality and certain atypical intersections. Preprints Fachbereich Mathematik, 2015 (23).

Habegger, Philipp. (2015) Singular moduli that are algebraic units. Preprints Fachbereich Mathematik, 2015 (24).

Habegger, Philipp and Jones, Gareth and Masser, David. (2015) Six unlikely intersection problems in search of effectivity. Preprints Fachbereich Mathematik, 2015 (28).