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Vector Bundles on Curves with Many “spread" Sections

Vector Bundles on Curves with Many “spread" Sections

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Abstract

Here we introduce and study vector bundles,E, on a smooth projective curve X having many “spread” sections and for which E! X has many “spread” sections. We show that no such bundle exists on X if the gonality of X is too low.

참고문헌 (6)

  1. "Brill-Noether theory for vector bundles on projective curves", 128, pp.483~499 (1998)
  2. ". Newstead,Geography of Brill-Noether locifor small slopes", 6, pp.645~668 (1997)
  3. "Nonemptyness of Brill-Noether loci", 11(6), pp.737~760 (2000)
  4. J. Cilleruelo, "The Severi bound on sections of rank two semistable vectorbundles on a Riemann surface", 154, pp.739~758 (2001)
  5. "On Cli??ord?s theorem for rank-3 bundles"
  6. "ord?s theorem^higher rank vector bundles^", 13(7) (2002)

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