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Petri map for rank two bundles with canonical determinant

Part of: Curves

Published online by Cambridge University Press:  01 May 2008

Montserrat Teixidor i Bigas
Montserrat Teixidor i Bigas*
Affiliation:
Mathematics Department, Tufts University, Medford, MA 02155, USA (email: montserrat.teixidoribigas@tufts.edu)
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Abstract

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We prove the Bertram–Feinberg–Mukai conjecture for a generic curve C of genus g and a semistable vector bundle E of rank two and determinant K on C, namely we prove the injectivity of the Petri-canonical map S2(H0(E))→H0(S2(E)).

Keywords

vector bundlesrank twocanonical determinantPetri mapBertram–Feinberg–Mukai Conjecture

MSC classification

Secondary: 14H60: Vector bundles on curves and their moduli
Type
Research Article
Information
Compositio Mathematica , Volume 144 , Issue 3 , May 2008 , pp. 705 - 720
Copyright
Copyright © Foundation Compositio Mathematica 2008