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On the Stability of M E

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Algebraic Geometry and its Applications

Part of the book series: Aspects of Mathematics ((ASMA,volume 25))

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Abstract

This brief note outlines some of the author’s results appearing in [5]. Suppose E is a vector bundle over a smooth irreducible projective curve C of genus g, and assume that global sections generate E. The natural evaluation map gives rise to a sequence of vector bundles:

$$0 \to {M_E}{H^0}\left( {C,E} \right) \otimes {O_C} \to E \to 0$$

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Authors
  1. David C. Butler
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Editor information

Editors and Affiliations

  1. Department of Mathematics, State Pedagogical Institute, Respublikanskayastr. 108, Yaroslavl’, 150000, Russia

    Alexander Tikhomirov

  2. Steklov Mathematical Institute, Vavilova 42, Moscow, 117966, Russia

    Andrej Tyurin

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© 1994 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

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Butler, D.C. (1994). On the Stability of M E . In: Tikhomirov, A., Tyurin, A. (eds) Algebraic Geometry and its Applications. Aspects of Mathematics, vol 25. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-99342-7_3

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  • DOI: https://doi.org/10.1007/978-3-322-99342-7_3

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-322-99344-1

  • Online ISBN: 978-3-322-99342-7

  • eBook Packages: Springer Book Archive

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