Differential Geometry and Topology

course: On the de Franchis problem

speaker: Gian Petro Pirola (Università di Pavia)

abstract: The classical de Franchis theorem asserts that a compact Riemann surface admits only finitely many nonconstant holomorphic maps on compact Riemann surfaces of genus bigger than one. Effective bounds were given by Martens, Howard Sommese and Kani. A better bound was recently proved by Tanabe. Using hodge structure, we discuss how the Tanabe ideas extend to the case of algebraic surfaces of general type.

timetable:
Wed 8 Sep, 18:15 - 19:15, Sala Conferenze Centro De Giorgi
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