From dynamics on surfaces to rational points on curves

DOI10.1090/S0273-0979-99-00856-3zbMath1012.11049OpenAlexW2134195779MaRDI QIDQ4942805

Curtis T. McMullen

Publication date: 15 March 2000

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-99-00856-3

zbMATH Keywords

Riemann surfacesmonodromysurface diffeomorphismsmoduli spaceGalois theorymapping class groupFermat equationbranched coverings

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items

The evolution of geometric structures on 3-manifolds, Kähler groups, \(\mathbb R\)-trees, and holomorphic families of Riemann surfaces, Holomorphic maps between moduli spaces, Riemann surfaces of second kind and effective finiteness theorems, Atoroidal surface bundles over surfaces., Belyi pairs and fried families, The length of closed geodesics on random Riemann surfaces, Density of monodromy actions on non-abelian cohomology., The complex geometry of Teichmüller spaces and bounded symmetric domains, Isometric disks are holomorphic, Accidental parabolics and relatively hyperbolic groups., Open problems in algebraic geometry

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