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The Quarterly Journal of Mathematics Advance Access published online on February 21, 2009
The Quarterly Journal of Mathematics, doi:10.1093/qmath/hap005
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© 2009. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

THETA CHARACTERISTICS AND STABLE HOMOTOPY TYPES OF CURVES

Oliver Röndigs{dagger}

Institut für Mathematik, Universität Osnabrück, 49069 Osnabrück, Germany

{dagger} E-mail: oroendig{at}math.uni-osnabrueck.de

Received 6 January 2009;
  Abstract

Let k be a field and X be a smooth projective curve over k with a rational point. Then X admits a theta characteristic if and only if the motivic stable homotopy type of X splits off the top cell. The constructed splitting lifts the splitting of the motive of X.


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