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The arithmetic Cohen-Macaulay character of Schubert schemes. (English) Zbl 0233.14012


MSC:

14M15 Grassmannians, Schubert varieties, flag manifolds
13C10 Projective and free modules and ideals in commutative rings
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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[1] Altman, A., & Kleiman, S. L.,Introduction to Grothendieck duality theory. Lecture notes in mathematics no. 146, Springer Verlag, 1970. · Zbl 0215.37201
[2] Bourbaki, N.,Algèbre, Chap. 3. Algèbre Multilinéaire. Act. Sci. Ind. 1044, Hermann, 1948. · Zbl 0039.25902
[3] Eagon, J. A., &Hochster, M., A class of perfect determinental ideals.Bull. Amer. Math. Soc. 76 (1970), 1026–1029. · Zbl 0201.37201
[4] Grothendieck, A. (with J. Dieudonné), Eleménts de géométrie algébrique. Chap. III.Publ. Math. I.H.E.S., 17 (1963) and Chap. IV,ibid. Publ. Math. I.H.E.S., 24 (1965).
[5] Hochster, M., Cohen-Macaulay rings of invariants, rings generated by monomials, and polytypes. Notices Amer. Math. Soc., 18 (1971), 509.
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[9] Kleiman, S. L., & Landolfi, J., Geometry and deformations of special Schubert varieties. (To appear inCompositio. Math.) · Zbl 0238.14007
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