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The Hodge conjecture for general Prym varieties
Author(s):
Indranil
Biswas;
Kapil
H.
Paranjape
Journal:
J. Algebraic Geom.
11
(2002),
33-39.
Posted:
November 16, 2001
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Abstract |
References |
Additional information
Abstract:
We calculate the Mumford-Tate group of the general Prym variety. As a consequence, the algebra of Hodge cycles is generated by the Néron-Severi.
References:
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- 1.
- Arnaud Beauville, Prym varieties and the Schottky problem, Invent. Math. 41 (1977), no. 2, 149-196.
- 2.
- Pierre Deligne, James S. Milne, Arthur Ogus, and Kuang-yen Shih, Hodge cycles, motives, and Shimura varieties, Lecture Notes in Mathematics, no. 900, Springer-Verlag, Berlin, 1982.
- 3.
- A. Grothendieck, Hodge's general conjecture is false for trivial reasons, Topology 8 (1969), 299-303.
- 4.
- Joe Harris and David Mumford, On the Kodaira dimension of the moduli space of curves, Invent. Math. 67 (1982), no. 1, 23-88, With an appendix by William Fulton.
- 5.
- Roger Howe, Remarks on classical invariant theory, Trans. Amer. Math. Soc. 313 (1989), no. 2, 539-570.
- 6.
- -, Erratum to: ``Remarks on classical invariant theory'', Trans. Amer. Math. Soc. 318 (1990), no. 2, 823.
- 7.
- David Mumford, Prym varieties. I, Contributions to analysis (a collection of papers dedicated to Lipman Bers), 325-350, Academic Press, New-York, 1974.
- 8.
- Gian Pietro Pirola, Base number theorem for abelian varieties. An infinitesimal approach, Math. Ann. 282 (1988), no. 3, 361-368.
- 9.
- Hermann Weyl, The Classical Groups. Their Invariants and Representations, Princeton University Press, Princeton, N.J., 1939.
Additional Information:
Indranil
Biswas
Affiliation:
School of Mathematics, TIFR, Homi Bhabha Road, Mumbai 400 005, India
Email:
indranil@math.tifr.res.in
Kapil
H.
Paranjape
Affiliation:
Institute of Mathematical Sciences, CIT Campus, Tharamani, Chennai 600 113, India
Email:
kapil@imsc.ernet.in
PII:
S 1056-3911(01)00303-4
Received by editor(s):
March 29, 1999
Posted:
November 16, 2001
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