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The genus of space curves

โœ Scribed by Joe Harris

Publisher
Springer
Year
1980
Tongue
English
Weight
633 KB
Volume
249
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES

Bounds for the Genus of Space Curves
Bounds for the Genus of Space Curves
โœ Valentina Beorchia ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 537 KB

## Abstract We compute the following upper bounds for the maximal arithmetic genus __P~a~(d,t__) over all locally Cohen โ€ Macaulay space curves of degree __d__, which are not contained in a surface of degree magnified image These bounds are sharp for t โ‰ค 4 abd any d โ‰ฅ t.

A New Proof of a Theorem of Beorchia on
A New Proof of a Theorem of Beorchia on the Genus of Space Curves
โœ Enrico Schlesinger ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 288 KB

We give a new proof of a theorem of BEORCHIA which provides a bound P ( d , t ) for t.he maximum genus of a locally Cohen-Macaulay space curve of degree d which does not lie on a nurface of degree t -1.