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Publications

Surveys

  • C. Favre. Le groupe de Cremona et ses sous-groupes de type fini. Séminaire Bourbaki. Volume 2008/2009. Exposés 997–-1011. Astérisque No. 332 (2010), Exp. No. 998, vii, 11–43.

  • C. Favre. Equidistribution problems in holomorphic dynamics in P2. Dynamical systems. Part II, Publ. Cent. Ric. Mat. Ennio Giorgi, 79–111, Scuola Norm. Sup. di Pisa, 2003.

Books

  • C. Favre and M. Jonsson. The valuative tree. Lecture Notes in Mathematics, 1853, Springer-Verlag, Berlin, 2004. Springer link

  • C. Favre and T. Gauthier. The arithmetic of polynomial dynamical pairs. Annals of Mathematics Studies 214. Princeton, NJ: Princeton University Press (ISBN 978-0-691-23546-2/hbk; 978-0-691-23547-9/pbk). 252 p. (2022). Princeton University Press link

Preprints

  • R. Dujardin, C. Favre and M. Ruggiero On the dynamical Manin-Mumford conjecture for plane polynomial maps arXiv:2312.14817

  • C. Favre, and A. Kuznetsova Families of automorphisms of abelian varieties. arXiv:2309.13730

  • C. Favre, T. T. Truong, and J. Xie. Topological entropy of a rational map over a complete metrized field. arxiv:2208.00668

Published articles

  • R. Dujardin, C. Favre, and T. Gauthier. When do two rational functions have locally biholomorphic Julia sets? Trans. of the AMS. (2023) arxiv:2201.04116

  • N.-B. Dang, and C. Favre. Intersection theory of nef b-divisor classes. Compositio Math. (2022) arxiv:2007.04549

  • N.-B. Dang, and C. Favre. Spectral interpretations of dynamical degrees and applications. Annals of Math (2021). arxiv:2006.10262

  • L. Fantini, C. Favre, and M. Ruggiero. Links of sandwiched surface singularities and self-similarity. Manuscripta math. (2019) arxiv:1802.08594

  • R. Dujardin, and C. Favre. Degenerations of SL(2,C)-representations and Lyapunov exponents. Annales H. Lebesgue (2019). hal-01736453

  • C. Favre, and T. Gauthier. Continuity of the Green function in meromorphic families of polynomials. Algebra & Number Theory, Volume 12, Number 6 (2018), 1471 – 1487. arxiv:1706.04676

  • C. Favre. Degenerations of endomorphisms of the complex projective space in the hybrid space. Journal de l’IMJ. (2018), 1 – 43. arxiv:1611.08490

  • E. Di Nezza, and C. Favre. Regularity of push-forward of Monge-Ampère measures. Annales de l’Institut Fourier, Tome 68 (2018) no. 7, pp. 2965–2979. arxiv:1712.09884

  • C. Favre, and T. Gauthier. Classification of special curves in the space of cubic polynomials. International Mathematics Research Notices, Volume 2018, Issue 2, (2018), Pages 362 – 411. arxiv:1603.05126

  • C. Favre, and J.-L. Lin. Degree Growth of Rational Maps Induced from Algebraic Structures. Conformal geomandry and dynamics, (2017), Volume 21, Pages 353 – 368 arxiv:1609.04127

  • R. Dujardin, and C. Favre. The dynamical Manin-Mumford problem for plane polynomial automorphisms. JEMS. 19, Issue 11, (2017), pp. 3421 – 3465. arxiv:1405.1377

  • S. Boucksom, C. Favre and M. Jonsson. Singular semipositive mandrics in non-Archimedean geometry. J. Algebraic Geom. 25 (2016), 77 – 139. arxiv:1201.0187

  • S. Boucksom, T. de Fernex, C. Favre, and S. Urbinati. Valuation spaces and multiplier ideals on singular varieties. in “Recent Advances in Algebraic Geomandry,” volume in honor of Rob Lazarsfeld’s 60th birthday, 29 – 51, London Math. Soc. Lecture Note Series, (2015). arxiv:1307.0227

  • C. Favre. Countability properties of some Berkovich spaces. In “Berkovich Spaces and Applications”, Lecture Notes in Mathematics n. 2119, pp. 119 – 132, Springer verlag, (2015). arxiv:1011.6233

  • S. Boucksom, C. Favre and M. Jonsson. Solution to a non-Archimedean Monge-Ampère equation. J. Amer. Math. Soc. 28 (2015), 617 – 667. arxiv:1201.0188

  • C. Favre, and T. Gauthier. Distribution of postcritically finite polynomials. Israel J. of Math. 209 (2015), 235 – 292. arxiv:1302.0810

  • C. Favre, and J. V. Pereira. Webs invariant by rational maps on surfaces. Rendiconti del Circolo Matematico di Palermo 64 (2015) 403 – 431. hal-01073953

  • C. Favre, and M. Ruggiero. Normal surface singularities admitting contracting automorphisms. Annales Math'ematiques de la facult'e des sciences de Toulouse, Volume 23 no. 4, pp. 797 – 828, (2014). arxiv:1302.6319

  • S. Boucksom, C. Favre and M. Jonsson. A refinement of Izumi’s Theorem. Valuation Theory in Interaction, 55–81. EMS Series of Congress Reports, vol 10. European Mathematical Society, Zürich, (2014). arxiv:1209.4104

  • C. Favre and E. Wulcan. Degree growth of monomial maps and McMullen’s polytope algebra. Indiana Math. J., Vol. 61, No. 2 (2012). arxiv:1011.2854

  • C. Favre, J. Kiwi, and E. Trucco. A non-archimedean Montel’s theorem. Compositio 148 (2012), 966 – 990. arxiv:1105.0746

  • S. Boucksom, T. De Fernex, and C. Favre. The volume of an isolated singularity. Duke Math. J. 161, Number 8 (2012), 1455 – 1520. arxiv:1011.2847

  • C. Favre and M. Jonsson. Compactification of polynomial mappings of C2. Ann. of Math. (2) 173 (2011), no. 1, 211 – 248.

  • C. Favre and J. Vitorio Pereira. Foliations invariant by rational maps. Math. Z. 268 (2011), no. 3-4, 753 – 770.

  • C. Favre, and J. Rivera-Letelier. Théorie ergodique des fractions rationnelles sur un corps ultramétrique. Proc. Lond. Math. Soc. (3) 100 (2010), no. 1, 116 – 154.

  • C. Favre. Holomorphic self-maps of singular rational surfaces. Publ. Mat. 54 (2010), no. 2, 389 – 432.

  • S. Boucksom, C. Favre and M. Jonsson. Differentiability of volumes of divisors and a problem of Teissier. J. Algebraic Geom. 18 (2009), no. 2, 279 – 308.

  • S. Boucksom, C. Favre and M. Jonsson. Degree growth of meromorphic surface maps. Duke Math. J. 141 (2008) no. 3, 519 – 558.

  • R. Dujardin and C. Favre. Distribution of rational maps with a preperiodic critical point. Amer. J. Math., 130 (2008), no. 4, 979 – 1032.

  • S. Boucksom, C. Favre and M. Jonsson. Valuations and plurisubharmonic singularities. Publ. Res. Inst. Math. Sci. 44 (2008), no. 2, 449 – 494.

  • C. Favre, and J. Rivera-Letelier. Equidistribution quantitative des points de petite hauteur sur la droite projective. Math. Ann. 335 (2006), no. 2, 311 – 361. Corrigendum. Math. Ann. 339 (2007), no. 4, 799 – 801.

  • C. Favre and M. Jonsson. Eigenvaluations. Ann. Sci. de l’ENS 40 (2007), no. 2, 309 – 349.

  • C. Favre and M. Jonsson. Valuative analysis of plurisubharmonic functions. Invent. Math. 162 (2005), no. 2, 271 – 311.

  • C. Favre and M. Jonsson. Valuations and multiplier ideals. J. Amer. Math. Soc., 18 (2005), no. 4, 655 – 684.

  • C. Favre, and J. Rivera-Letelier. Théorème d’équidistribution de Brolin en dynamique p-adique. C. R. Math. Acad. Sci. Paris 339 (2004), no. 4, 271 – 276.

  • S. Cantat and C. Favre. Symétries birationnelles des surfaces feuillandées. J. Reine Angew. Math., 561 (2003), 199–235. Corrigendum. J. Reine Angew. Math., 582 (2005), 229-231.

  • C. Favre and M. Jonsson. Brolin’s theorem for curves in two complex dimensions. Ann. Inst. Fourier 53 (2003), 1461–1501.

  • C. Favre. Les applications monomiales en deux dimensions. Michigan Math. J., 51 (2003), no. 3, 467–475.

  • J. Diller and C. Favre. Dynamics of bimeromorphic maps of surfaces. Amer. J. Math., 123 (2001), no. 6, 1135–1169.

  • C. Favre and V. Guedj. Dynamique des applications rationnelles des espaces multiprojectifs. Indiana Univ. Math. J. 50 (2001), no. 2, 881–934.

  • C. Favre. Classification of 2-dimensional contracting rigid germs and Kato surfaces. I. J. Math. Pures Appl. (9) 79 (2000), no. 5, 475–514.

  • C. Favre. Multiplicity of holomorphic functions. Math. Ann., 316 (2000), no. 2, 355-378.

  • C. Favre. Note on pull-back and Lelong number of currents. Bull. Soc. Math. France, 127 (1999), no. 3, 445-458.

  • C. Favre. Points périodiques d’applications birationnelles de P2. Ann. Inst. Fourier, 48 (1998), no. 4, 999-1023.