✦ LIBER ✦

On the Osculating Bundles of Curves inPn

✍ Scribed by E. Ballico

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 160 KB
Volume: 204
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7357

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✦ Synopsis

rank G L s t q 1, c [ deg G L y deg P L is the degree of the cuspidal < < t Ž . locus of order F t of the linear system V . Here we study G L as an abstract bundle on X using elementary transformations. For every g G 2 we obtain condid Ž . tions on g, d, n, t, and c such that for all X and all L g Pic X , there is 0 Ž . t Ž . V : H X, L such that the associated osculating bundle G L is a general stable Ž . Ž . Ž . bundle of rank t q 1 and degree t q 1 t g y 1 q t q 1 d y c.

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