LINEAR SERIES ON CURVES: STABILITY AND CLIFFORD INDEX

作者：Mistretta Ernesto C^*; Stoppino Lidia

来源：International Journal of Mathematics, 2012, 23(12): 1250121.

DOI：10.1142/S0129167X12501212

• Slope stability
• linear stability
• cohomological stability
• Clifford index
• Dual span bundles
• linear series
• Butler%26apos
• s conjecture

We study concepts of stability associated to a smooth complex curve together with a linear series on it. In particular we investigate the relation between stability of the associated dual span bundle and linear stability. Our results imply that stability of the dual span holds under a hypothesis related to the Clifford index of the curve. Furthermore, in some of the cases, we prove that a stronger stability holds: cohomological stability. Finally, using our results we obtain stable vector bundles of slope 3, and prove that they admit theta-divisors.

• 出版日期2012-12