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Rationality of Moduli Spaces of Plane Curves of Small Degree

✍ Scribed by Böhning, Christian; Bothmer, Hans-Christian Graf von; Kröker, Jakob

Book ID
126912814
Publisher
Taylor and Francis Group
Year
2009
Tongue
English
Weight
222 KB
Volume
18
Category
Article
ISSN
1058-6458

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Curves without plane model of small degr
Curves without plane model of small degree
✍ Changho Keem; Gerriet Martens 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

## Abstract Let __C__ be a smooth irreducible projective curve of genus __g__ > 0 and __s~C~__ (2) the minimal degree of plane models of __C__. Clearly, __s~C~__ (2) ≤ __g__ + 2. Our main result is: __s~C~__ (2) = __g__ + 2 – __t__ (for some integer __t__ ≥ 0) implies that __C__ is a double cover o