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26 April 2024
 
  » arxiv » 1411.4263

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On rational maps from the product of two general curves
Yongnam Lee ; Gian Pietro Pirola ;
Date 16 Nov 2014
AbstractThis paper treats the dominant rational maps from the product of two general curves to nonsingular projective surfaces. Combining the result by Bastianelli and Pirola, we prove that the product of two very general curves of genus $ggeq 7$ and $g’geq 3$ 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.
Source arXiv, 1411.4263
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