|
On the syzygies of flag manifolds
Author(s):
Laurent
Manivel
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2293-2299.
MSC (1991):
Primary 14M15;
Secondary 13D02, 14F17
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
We show that on a complex flag manifold, a very ample line bundle which is a  -th power has property  in the sense of Green and Lazarsfeld. This is a partial answer to a problem raised by Fulton.
References:
- [A-B-W]
- K. Akin, D. Buchsbaum, and J. Weyman, Schur functors and Schur complexes, Adv. in Math. 44 (1982), 237--278. MR 84c:20021
- [B-E-L]
- A. Bertram, L. Ein, and R. Lazarsfeld, Vanishing theorems, a theorem of Severi, and the equations defining projective varieties, J. Amer. Math. Soc. 4 (1991), 587--602. MR 92g:14014
- [De]
- M. Demazure, A very simple proof of Bott's theorem, Invent. Math. 33 (1976), 271--272. MR 54:2670
- [E-L]
- L. Ein and R. Lazarsfeld, Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension, Invent. Math. 111 (1993), 51--67. MR 93m:13006
- [Gr]
- M. Green, Koszul cohomology and the geometry of projective varieties, J. Diff. Geom. 19 (1984), 125--171. MR 85e:14022
- [Ke]
- G. Kempf, The projective coordinate ring of abelian varieties, Algebraic Analysis, Geometry and Number Theory (J. I. Igusa, ed.), Johns Hopkins Press, Baltimore, 1989.
- [La]
- A. Lascoux, Syzygies des variétés déterminantales, Adv. in Math. 30 (1978), 202--237. MR 80j:14043
- [McD]
- I. G. Macdonald, Symmetric functions and Hall polynomials, Clarendon Press, 1979. MR 84g:05003
- [P-W]
- P. Pragacz and J. Weyman, Ideals generated by Pfaffians, J. Algebra 61 (1979), 189--198.
- [W]
- H. Weyl, The classical groups, Princeton University Press, 1939. MR 1:42c
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
14M15,
13D02, 14F17
Retrieve articles in all Journals with MSC
(1991):
14M15,
13D02, 14F17
Additional Information:
Laurent
Manivel
Affiliation:
Institut Fourier, Université de Grenoble I, 38402 Saint Martin d'Hères, France
Email:
laurent.manivel@ujf-grenoble.fr
DOI:
10.1090/S0002-9939-96-03775-6
PII:
S 0002-9939(96)03775-6
Keywords:
Syzygies,
flag manifolds,
Schur functors,
Bott's theorem
Received by editor(s):
November 28, 1994
Communicated by:
Eric M. Friedlander
Copyright of article:
Copyright
1996,
American Mathematical Society
|
Comments: webmaster@ams.org