On the syzygies of flag manifolds

Author:

Manivel Laurent

Abstract

We show that on a complex flag manifold, a very ample line bundle which is a p p -th power has property N p N_p in the sense of Green and Lazarsfeld. This is a partial answer to a problem raised by Fulton.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

1. Schur functors and Schur complexes;Akin, Kaan;Adv. in Math.,1982

2. Vanishing theorems, a theorem of Severi, and the equations defining projective varieties;Bertram, Aaron;J. Amer. Math. Soc.,1991

3. A very simple proof of Bott’s theorem;Demazure, Michel;Invent. Math.,1976

4. Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension;Ein, Lawrence;Invent. Math.,1993

5. Koszul cohomology and the geometry of projective varieties;Green, Mark L.;J. Differential Geom.,1984

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1. Resolutions of Segre embeddings of projective spaces of any dimension;Journal of Pure and Applied Algebra;2007-01

2. Restricting linear syzygies: algebra and geometry;Compositio Mathematica;2005-11

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4. Stability Properties of Exchange Rings;International Symposium on Ring Theory;2001

5. On syzygies of projective varieties;Pacific Journal of Mathematics;1997-01-01

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