On the syzygies of flag manifolds

DOI10.1090/S0002-9939-96-03775-6zbMath0884.14025MaRDI QIDQ4896142

Laurent Manivel

Publication date: 30 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

syzygiesflag manifoldsSchur functorscohomology vanishingBott's theoremequations of a projective variety

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Grassmannians, Schubert varieties, flag manifolds (14M15) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Syzygies of some GIT quotients ⋮ Resolutions of Segre embeddings of projective spaces of any dimension

Cites Work

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• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Ideals generated by Pfaffians
• Schur functors and Schur complexes
• Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension
• A very simple proof of Bott's theorem
• Syzygies des variétés déterminantales
• Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties