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Article overview
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Base-point-free pencils on triple covers of smooth curves | Dongsoo Shin
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11 Jun 2008 | Abstract: | Let $X$ be a smooth algebraic curve. Suppose that there exists a triple
covering $f : X o Y$ where $Y$ is a smooth algebraic curve. In this paper, we
investigate the existence of morphisms from $X$ to the projective line
$mathbf{P}^1$ which do not factor through the covering $f$. For this purpose,
we generalize the classical results of Maroni concerning base-point-free
pencils on trigonal curves to the case of triple covers of arbitrary smooth
irrational curves. | Source: | arXiv, 0806.1849 | Services: | Forum | Review | PDF | Favorites |
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