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On rational maps from the product of two general curves | Yongnam Lee
; Gian Pietro Pirola
; | Date: |
16 Nov 2014 | Abstract: | This 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 | Services: | Forum | Review | PDF | Favorites |
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