This paper treats dominant rational maps from the product of two very general curves to nonsingular projective surfaces. Combining the result in [5] we prove that the product of two very general curves of genus g ≥ 7 and g′ ≥ 3 does not admit dominant rational maps of degree > 1 if the image surface is non-ruled. We also treat the case of the 2-symmetric product of a curve.

On rational maps from the product of two general curves

Pirola G. P.
2016-01-01

Abstract

This paper treats dominant rational maps from the product of two very general curves to nonsingular projective surfaces. Combining the result in [5] we prove that the product of two very general curves of genus g ≥ 7 and g′ ≥ 3 does not admit dominant rational maps of degree > 1 if the image surface is non-ruled. We also treat the case of the 2-symmetric product of a curve.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1429414
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