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Original Articles

Vanishing of Chern Classes of the De Rham Bundles for Some Families of Moduli Spaces

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Pages 1525-1531 | Received 13 Jan 2006, Published online: 07 May 2007

References

  • Bloch , S. , Esnault , H. ( 1997 ). Algebraic Chern-Simons theory . Amer. Jour. Math. 119 : 903 – 952 .
  • del Baño , S. ( 2001 ). On the Chow motive of some moduli spaces . Jour. Reine Angew. Math. 532 : 105 – 132 .
  • de Cataldo , M. A. , Migliorini , L. ( 2002 ). The Chow groups and the motive of the Hilbert scheme of points on a surface . Jour. Alg. 251 : 824 – 848 .
  • Esnault , H. ( 1999 ). Algebraic theory of characteristic classes of bundles with connection . Algebraic K-theory ( Seattle , WA , 1997 ). Proc. Sympos. Pure Math., 67 . Providence , RI : Amer. Math. Soc ., pp. 13 – 23 .
  • Esnault , H. , Viehweg , E. ( 2002 ). Chern classes of Gauss-Manin bundles of weight 1 vanish . K-Theory 26 : 287 – 305 .
  • Fogarty , J. ( 1968 ). Algebraic families on an algebraic surface . Amer. Jour. Math. 90 : 511 – 521 .
  • Fulton , W. ( 1998 ). Intersection Theory . Ergeb. der Math. und ihrer Grenz. 3. Folge. , Berlin : Springer-Verlag .
  • Göttsche , L. ( 2001 ). On the motive of the Hilbert scheme of points on a surface . Math. Res. Lett. 8 : 613 – 627 .
  • Göttsche , L. , Soergel , W. ( 1993 ). Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces . Math. Ann. 296 : 236 – 245 .
  • Grothendieck , A. ( 1957 ). Sur quelques points d'algébre homologique . Tôhoku Math. Jour. 9 : 119 – 221 .
  • Iyer , J. ( 2003 ). The de Rham bundle on a compactification of moduli space of Abelian varieties . Compositio Math. 136 : 317 – 321 .
  • Macdonald , I. G. ( 1962 ). The Poincaré polynomial of a symmetric product . Proc. Cambridge Philos. Soc. 58 : 563 – 568 .
  • Mumford , D. ( 1983 ). Towards an enumerative geometry of the moduli space of curves . Arithmetic and Geometry . Vol. II . Progr. Math., 36 . Boston , MA : Birkhäuser , pp. 271 – 328 .
  • van der Geer , G. ( 1999 ). Cycles on the moduli space of abelian varieties . Moduli of Curves and Abelian Varieties . Aspects Math. E33 . Braunschweig : Vieweg , pp. 65 – 89 .
  • Communicated by C. Pedrini.

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