LINEAR SERIES ON CURVES: STABILITY AND CLIFFORD INDEX
نویسندگان
چکیده
منابع مشابه
Gonality and Clifford index of curves on K3 surfaces
We show that every possible value for the Clifford index and gonality of a curve of a given genus on a K3 surface over the complex numbers occurs.
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In this paper we review the notions of gonality and Clifford index of an abstract curve. For a curve embedded in a projective space, we investigate the connection between the Clifford index of the curve and the geometrical properties of its embedding. In particular if C is a curve of degree d in P 3 , and if L is a multisecant of maximum order k , then the pencil of planes through L cuts out a ...
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We study h 0 (X, L) for line bundles L on a semistable curve X of genus g, parametrized by the compactified Picard scheme. The theorem of Riemann is shown to hold. The theorem of Clifford is shown to hold in the following cases: X has two components; X is any semistable curve and d = 0 or d = 2g − 2; X is stable, free from separating nodes, and d ≤ 4. These results are shown to be sharp. Applic...
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چکیده ندارد.
15 صفحه اولClifford Indices for Vector Bundles on Curves
For smooth projective curves of genus g ≥ 4, the Clifford index is an important invariant which provides a bound for the dimension of the space of sections of a line bundle. This is the first step in distinguishing curves of the same genus. In this paper we generalise this to introduce Clifford indices for semistable vector bundles on curves. We study these invariants, giving some basic propert...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2012
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x12501212