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DOUBLE STRUCTURES AND NORMAL BUNDLE OF SPACE CURVES

Published online by Cambridge University Press:  01 August 1998

PHILIPPE ELLIA
PHILIPPE ELLIA
Affiliation:
Dipartimento di Matematica, via Machiavelli 35, 44100 Ferrara, Italy. E-mail: PhE@dns.unife.it
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Abstract

It is shown that the general plane section of a double structure on an integral curve C⊆P3 has a connected numerical character (that is, its Hilbert function is of decreasing type). The paper gives applications, particularly to the stability of the normal bundle of space curves.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 18 - 26
Copyright
The London Mathematical Society 1998

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