Mathematics – Algebraic Geometry
Scientific paper
2008-08-09
Mathematics
Algebraic Geometry
13 pages
Scientific paper
Given a minimal surface equipped with a generically finite map to an Abelian
variety, we give an optimal bound on the canonical degree of a rational or an
elliptic curve. As a corollary, we obtain the finiteness of rational and
elliptic curves on any surface of general type with two linearly independent
regular one forms.
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