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AMERICAN JOURNAL OF MATHEMATICS

Founded in 1878 by The Johns Hopkins University

VOLUME 127, NUMBER 6 DECEMBER 2005

CONTENTS

PAGE

The displacement map associated to polynomial unfoldings of planar

Hamiltonian vector fields. By LUBOMIR GAVRELOV and ILIYA D. ILIEV 1153 Cohomological quotients and smashing localizations. By HENNING

KRAUSE 1191

The -invariant on toric Fano manifolds. By JIAN SONG 1247 Topological Hochschild homology of connective complex K-theory. By

CHRISTIAN AUSONI 1261

Curvature tensor under the Ricci flow. By NATASA SESUM 1315 Finiteness results for modular curves of genus at least 2. By

MATTHEW H. BAKER, ENRIQUE GONZALEZ-JIMENEZ, JOSEP GONZALEZ,

and BJORN POONEN 1325

Corrigendum to "Galois representations attached to Q-curves and the generalized Fermat equation A4 + B2 = Cp" (AJM 126 (2004),

763-787). By JORDAN S. ELLENBERG 1389

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