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Du Val curves and the pointed Brill-Noet...
Farkas, Gavril...

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Du Val curves and the pointed Brill-Noether Theorem by Farkas, Gavril ( Author )
Lemonjar Open Access
N.A
08-06-2016
We show that a general curve in an explicit class of what we call Du Val pointed curves satisfies the Brill-Noether Theorem for pointed curves. Furthermore, we prove that a generic pencil of Du Val pointed curves is disjoint from all Brill-Noether divisors on the universal curve. This provides explicit examples of smooth pointed curves of arbitrary genus defined over Q which are Brill-Noether general. A similar result is proved for 2-pointed curves as well using explicit curves on elliptic ruled surfaces.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1606.02725
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