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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Hyperbolicity of cyclic covers and complements




Date(s) : 06/09/2016   iCal
11h00 - 12h00

A complex projective variety is Brody hyperbolic if there are no non-constant holomorphic maps from the complex plane to the variety. We prove that a cyclic cover of a smooth complex projective variety branched along a generic small deformation of a sufficiently large multiple of a Brody hyperbolic very ample divisor is Brody hyperbolic. We also show the hyperbolicity of the complements of those branch divisors. These results produce lots of examples of hyperbolic cyclic covers and complements.

http://web.math.princeton.edu/generals/liu_yuchen

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