Degeneration of Schubert varieties of to toric varieties
Raika Dehy[1]; Rupert W.T. Yu[2]
- [1] Université de Cergy-Pontoise, Département de Mathématiques, 2 avenue Adolphe Chauvin, 95032 Cergy Cedex (France)
- [2] Université de Poitiers, Département de Mathématiques, Boulevard Marie et Pierre Curie, Téléport 2, BP 30179, 86962 Futuroscope Chasseneuil Cedex (France)
Annales de l’institut Fourier (2001)
- Volume: 51, Issue: 6, page 1525-1538
- ISSN: 0373-0956
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top- C. de Concini, D. Eisenbud, C. Procesi, Hodge algebras, Astérisque 91 (1982) Zbl0509.13026MR680936
- R. Dehy, Polytopes associated to Demazure modules of Symmetrizable Kac-Moody algebras of rank two, Journal of Algebra 228 (2000), 60-90 Zbl0973.17033MR1760956
- R. Dehy, R.W.T. Yu, Polytopes associated to certain Demazure modules of , Journal of Algebraic Combinatorics 10 (1999), 149-172 Zbl0966.17004MR1719132
- D. Eisenbud, B. Sturmfels, Binomial ideals, Duke Math. J. 84 (1996), 1-45 Zbl0873.13021MR1394747
- N. Gonciulea, V. Lakshmibai, Degenerations of flag and Schubert varieties to toric varieties, Transformation Groups 2 (1996), 215-249 Zbl0909.14028MR1417711
- T. Hibi, Distributive lattices, affine semigroup rings, and algebras with straightening laws, Commutative algebra and combinatorics 11 (1987), 93-109 Zbl0654.13015
- C. Huneke, V. Lakshmibai, Degeneracy of Schubert varieties., Kazhdan-Lusztig theory and related topics (Chicago, IL, 1989) 139 (1992), 181-235, Amer. Math. Soc., Providence, RI Zbl0806.14036
- G. Kempf, A. Ramanthan, Multicones over Schubert Varieties, Invent. Math. 87 (1987), 353-363 Zbl0615.14028MR870733
- V. Lakshmibai, C. Musili, C. S. Seshadri, Geometry of . IV. Standard monomial theory for classical types, Proc. Indian Acad. Sci., Sect. A Math. Sci 88 (1979), 279-362 Zbl0447.14013MR553746
- V. Lakshmibai, C. S. Seshadri, Geometry of . V, J. Algebra 100 (1986), 462-557 Zbl0618.14026MR840589
- B. Teissier, Variétés toriques et polytopes, Séminaire Bourbaki 901, exposé 565 (1981), 71-84, Springer-Verlag, New York Zbl0494.52010