Zobrazeno 1 - 10
of 151
pro vyhledávání: '"FAVRE, CHARLES"'
Autor:
Favre, Charles, Gong, Chen
We develop non-Archimedean techniques to analyze the degeneration of a sequence of rational maps of the complex projective line. We provide an alternative to Luo's method which was based on ultra-limits of the hyperbolic 3-space. We build hybrid spac
Externí odkaz:
http://arxiv.org/abs/2406.15892
We prove the dynamical Manin-Mumford conjecture for regular polynomial maps of A^2 and irreducible curves avoiding super-attracting orbits at infinity, over any field of characteristic 0.
Externí odkaz:
http://arxiv.org/abs/2312.14817
Autor:
Berger, Pierre, Bedford, Eric, Bianchi, Fabrizio, Buff, Xavier, Crovisier, Sylvain, Dinh, Tien-Cuong, Dujardin, Romain, Favre, Charles, Firsova, Tanya, Ingram, Patrick, Ishii, Yutaka, Palmisano, Liviana, Pujals, Enrique, Raissy, Jasmin, Štimac, Sonja, Vigny, Gabriel
We propose a set of questions on the dynamics of H\'enon maps from the real, complex, algebraic and arithmetic points of view.
Comment: 34 pages, 4 figures
Comment: 34 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2312.03907
Autor:
Favre, Charles, Kuznetsova, Alexandra
We consider some algebraic aspects of the dynamics of an automorphism on a family of polarized abelian varieties parameterized by the complex unit disk. When the action on the cohomology of the generic fiber has no cyclotomic factor, we prove that su
Externí odkaz:
http://arxiv.org/abs/2309.13730
We prove that the topological entropy of any dominant rational self-map of a projective variety defined over a complete non-Archimedean field is bounded from above by the maximum of its dynamical degrees, thereby extending a theorem of Gromov and Din
Externí odkaz:
http://arxiv.org/abs/2208.00668
In this article we address the following question, whose interest was recently renewed by problems arising in arithmetic dynamics: under which conditions does there exist a local biholomorphism between the Julia sets of two given one-dimensional rati
Externí odkaz:
http://arxiv.org/abs/2201.04116
Autor:
Dang, Nguyen-Bac, Favre, Charles
We prove that any nef b-divisor class on a projective variety defined over an algebraically closed field of characteristic 0 is a decreasing limit of nef Cartier classes. Building on this technical result, we construct an intersection theory of nef b
Externí odkaz:
http://arxiv.org/abs/2007.04549
Autor:
Dang, Nguyen-Bac, Favre, Charles
We prove that dynamical degrees of rational self-maps on projective varieties can be interpreted as spectral radii of naturally defined operators on suitable Banach spaces. Generalizing Shokurov's notion of b-divisors, we consider the space of b-clas
Externí odkaz:
http://arxiv.org/abs/2006.10262
Autor:
Favre, Charles, Gauthier, Thomas
We study one-dimensional algebraic families of pairs given by a polynomial with a marked point. We prove an "unlikely intersection" statement for such pairs thereby exhibiting strong rigidity features for these pairs. We infer from this result the dy
Externí odkaz:
http://arxiv.org/abs/2004.13801