On surfaces of general type with maximal Albanese dimension
classification
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math.CV
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ellipticgeneralrationalsurfacetypeabelianalbanesebound
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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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