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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
A Generalization of the Clifford Index and Determinantal Equations for Curves and Their Secant Varieties.

A Generalization of the Clifford Index and Determinantal Equations for Curves and Their Secant Varieties.

Ginensky, Adam

Paperback

General Mathematics

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ISBN10: 1243571330
ISBN13: 9781243571335
Publisher: Proquest Umi Dissertation Pub
Pages: 88
Weight: 0.38
Height: 0.18 Width: 7.44 Depth: 9.69
Language: English
This paper gives a geometric characterization of the Clifford index of a curve C, in terms of the existence of determinantal equations for C and its secant varieties in the bicanonical embedding. The key idea is the generalization of Shiffer deformations to Shiffer variations supported on an arbitrary effective divisor D. The definition of Shiffer variations and Clifford index is then generalized to an arbitrary very ample line bundle, L, on C. This allows one to give geometric characterizations of the generalized Clifford index in many cases. In particular it allows one to show the existence of determinantal equations for C and Seck( C) for k

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