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Volumn 151, Issue 2, 2003, Pages 353-379

Smooth points of T-stable varieties in G/B and the Peterson map

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EID: 0037933482     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00222-002-0256-5     Document Type: Article
Times cited : (66)

References (39)
  • 1
    • 0040426377 scopus 로고    scopus 로고
    • Classes d'Euler équivariante et points rationellement lisses
    • Arabia, A.: Classes d'Euler équivariante et points rationellement lisses. Ann. Inst. Fourier 48, 861-912 (1998)
    • (1998) Ann. Inst. Fourier , vol.48 , pp. 861-912
    • Arabia, A.1
  • 2
    • 0009409406 scopus 로고    scopus 로고
    • Pattern avoidance and rational smoothness of Schubert varieties
    • Billey, S.: Pattern avoidance and rational smoothness of Schubert varieties. Adv. Math. 139, 141-156 (1998)
    • (1998) Adv. Math. , vol.139 , pp. 141-156
    • Billey, S.1
  • 3
    • 0038507774 scopus 로고    scopus 로고
    • Singular loci of Schubert varieties
    • Birkhäuser, Boston-Basel-Berlin
    • Billey, S., Lakshmibai, V.: Singular loci of Schubert varieties. Progress in Mathematics 182, Birkhäuser, Boston-Basel-Berlin 2000
    • (2000) Progress in Mathematics , vol.182
    • Billey, S.1    Lakshmibai, V.2
  • 6
    • 85039664119 scopus 로고    scopus 로고
    • A lookup conjecture for rational smoothness
    • Boe, B., Graham, W.: A lookup conjecture for rational smoothness. To appear in Am. J. Math.
    • Am. J. Math.
    • Boe, B.1    Graham, W.2
  • 8
    • 0033433243 scopus 로고    scopus 로고
    • Rational smoothness and fixed points of torus actions
    • Brion, M.: Rational smoothness and fixed points of torus actions. Transform. Groups 4, 127-156 (1999)
    • (1999) Transform. Groups , vol.4 , pp. 127-156
    • Brion, M.1
  • 9
    • 0038169133 scopus 로고    scopus 로고
    • Poincaré duality and equivariant (co)homology
    • Dedicated to William Fulton on the occasion of his 60th birthday
    • Brion, M.: Poincaré duality and equivariant (co)homology. Dedicated to William Fulton on the occasion of his 60th birthday. Mich. Math. J. 48, 77-92 (2000)
    • (2000) Mich. Math. J. , vol.48 , pp. 77-92
    • Brion, M.1
  • 10
    • 0001844911 scopus 로고
    • The bruhat graph of a Coxeter group, a conjecture of deodhar, and rational smoothness of Schubert varieties
    • Carrell, J.: The Bruhat Graph of a Coxeter Group, a Conjecture of Deodhar, and Rational Smoothness of Schubert Varieties. Proc. Symp. Pure Math. 56, 53-61 (1994)
    • (1994) Proc. Symp. Pure Math. , vol.56 , pp. 53-61
    • Carrell, J.1
  • 11
    • 0037831364 scopus 로고
    • On the smooth points of a Schubert variety
    • Representations of Groups
    • Currell, J.: On the smooth points of a Schubert variety. Representations of Groups. Can. Math. Conf. Proc. 16, 15-35 (1995)
    • (1995) Can. Math. Conf. Proc. , vol.16 , pp. 15-35
    • Currell, J.1
  • 12
    • 0037831363 scopus 로고    scopus 로고
    • The span of the tangent cone of a Schubert variety
    • Algebraic Groups and Lie Groups, Cambridge Univ. Press
    • Carrell, J.: The span of the tangent cone of a Schubert variety. Algebraic Groups and Lie Groups, Australian Math. Soc. Lecture Series 9, Cambridge Univ. Press 1997, 51-60
    • (1997) Australian Math. Soc. Lecture Series , vol.9 , pp. 51-60
    • Carrell, J.1
  • 13
    • 0034311608 scopus 로고    scopus 로고
    • Normality of torus orbit closures on G/P
    • Carrell, J., Kurth, A.: Normality of torus orbit closures on G/P. J. Algebra 233, 122-134 (2000)
    • (2000) J. Algebra , vol.233 , pp. 122-134
    • Carrell, J.1    Kurth, A.2
  • 15
    • 0001834026 scopus 로고
    • Sur les décompositions cellulaires des espaces G/B
    • Chevalley, C.: Sur les décompositions cellulaires des espaces G/B. Proc. Symp. Pure Math. 56, 1-25 (1994)
    • (1994) Proc. Symp. Pure Math. , vol.56 , pp. 1-25
    • Chevalley, C.1
  • 16
    • 0040438501 scopus 로고    scopus 로고
    • Singularities générique de variétiés de Schubert covexillaires
    • Cortez, A.: Singularities générique de variétiés de Schubert covexillaires. Ann. Inst. Fourier 51, 375-393 (2001)
    • (2001) Ann. Inst. Fourier , vol.51 , pp. 375-393
    • Cortez, A.1
  • 17
    • 0013137719 scopus 로고
    • Local Poincaré duality and nonsingularity of Schubert varieties commun
    • Deodhar, V.: Local Poincaré duality and nonsingularity of Schubert varieties Commun. Algebra 13, 1379-1388 (1985)
    • (1985) Algebra , vol.13 , pp. 1379-1388
    • Deodhar, V.1
  • 19
    • 0000899626 scopus 로고
    • A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings
    • Fulton, W., Hansen, J.: A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings. Ann. Math. 110, 159-166 (1979)
    • (1979) Ann. Math. , vol.110 , pp. 159-166
    • Fulton, W.1    Hansen, J.2
  • 20
    • 0004255284 scopus 로고
    • Cohomologic locale des faisceaux cohérents et théorèmes de lefschetz locaux et globaux
    • Grothendieck, A.: Cohomologic Locale des Faisceaux Cohérents et Théorèmes de Lefschetz Locaux et Globaux. SGA 2 (1962)
    • (1962) SGA , vol.2
    • Grothendieck, A.1
  • 23
    • 34250264460 scopus 로고
    • Representations of Coxeter groups and Hecke algebras
    • Kazhdan, D., Lusztig, G.: Representations of Coxeter groups and Hecke algebras. Invent. Math. 53, 165-184 (1979)
    • (1979) Invent. Math. , vol.53 , pp. 165-184
    • Kazhdan, D.1    Lusztig, G.2
  • 24
    • 0003206873 scopus 로고
    • Schubert varieties and Poincaré duality
    • Kazhdan, D., Lusztig, G.: Schubert varieties and Poincaré duality. Proc. Symp. Pure Math. 36, 185-203 (1980)
    • (1980) Proc. Symp. Pure Math. , vol.36 , pp. 185-203
    • Kazhdan, D.1    Lusztig, G.2
  • 25
    • 0030556675 scopus 로고    scopus 로고
    • Nil Hecke ring and singularity of Schubert varieties
    • Kumar, S.: Nil Hecke ring and singularity of Schubert varieties. Invent. Math. 123, 471-506 (1996)
    • (1996) Invent. Math. , vol.123 , pp. 471-506
    • Kumar, S.1
  • 26
    • 0037493836 scopus 로고    scopus 로고
    • Kac-Moody groups, their flag varieties and representation theory
    • Birkhäuser, Boston-Basel-Berlin
    • Kumar, S.: Kac-Moody groups, their flag varieties and representation theory. Progress in Mathematics 204, Birkhäuser, Boston-Basel-Berlin 2002
    • (2002) Progress in Mathematics , vol.204
    • Kumar, S.1
  • 27
    • 85039664674 scopus 로고    scopus 로고
    • Ein glattheitskriterium für attraktive fixpunkte von torusoperationen
    • U. of Basel
    • Kuttler, J.: Ein Glattheitskriterium für attraktive Fixpunkte von Torusoperationen. Diplomarbeit, U. of Basel 1998
    • (1998) Diplomarbeit
    • Kuttler, J.1
  • 28
    • 0000730723 scopus 로고
    • Tangent spaces to Schubert varieties
    • Lakshmibai, V.: Tangent spaces to Schubert varieties. Math. Res. Lett. 2, 473-477 (1995)
    • (1995) Math. Res. Lett. , vol.2 , pp. 473-477
    • Lakshmibai, V.1
  • 29
    • 0001994393 scopus 로고    scopus 로고
    • Standard monomial theory and applications
    • edited by A. Broer. Kluwer Academic Publishers. Dordrecht-Boston-London
    • Lakshmibai, V., Littelmann, P., Magyar, P.: Standard monomial theory and applications. Representation Theory and Applications, edited by A. Broer. Kluwer Academic Publishers. Dordrecht-Boston-London 1997
    • (1997) Representation Theory and Applications
    • Lakshmibai, V.1    Littelmann, P.2    Magyar, P.3
  • 30
  • 32
    • 0346251627 scopus 로고    scopus 로고
    • Le lieu singulier des variétés de Schubert
    • Manivel, L.: Le lieu singulier des variétés de Schubert, Int. Math. Res. Not. 16, 849-871 (2001)
    • (2001) Int. Math. Res. Not. , vol.16 , pp. 849-871
    • Manivel, L.1
  • 34
    • 0037831376 scopus 로고
    • Some properties of the Nash blowing up
    • Nobile, A.: Some properties of the Nash blowing up. Pac. J. Math. 60, 297-305 (1975)
    • (1975) Pac. J. Math. , vol.60 , pp. 297-305
    • Nobile, A.1
  • 35
    • 38149144070 scopus 로고
    • On Zariski tangent spaces of Schubert varieties and a proof of a conjecture of Deodhar
    • Polo, P.: On Zariski tangent spaces of Schubert varieties and a proof of a conjecture of Deodhar. Indag. Math., New Ser. 11, 483-493 (1994)
    • (1994) Indag. Math., New Ser. , vol.11 , pp. 483-493
    • Polo, P.1
  • 36
    • 0000743352 scopus 로고
    • Schubert varieties are arithmetically Cohen-Macaulay
    • Ramanathan, A.: Schubert varieties are arithmetically Cohen-Macaulay. Invent. Math. 80, 283-294 (1985)
    • (1985) Invent. Math. , vol.80 , pp. 283-294
    • Ramanathan, A.1
  • 37
    • 0002319303 scopus 로고
    • Quelques applications de la cohomolgie d'intersection
    • Sém. Bourbaki, no. 589
    • Springer, T.: Quelques applications de la cohomolgie d'intersection. Sém. Bourbaki, no. 589. Astérisque 92, 249-273 (1982)
    • (1982) Astérisque , vol.92 , pp. 249-273
    • Springer, T.1
  • 38
    • 0002503991 scopus 로고
    • Equivariant completion
    • Sumihiro, H.: Equivariant Completion. J. Math. Kyoto Univ. 14, 1-28 (1974)
    • (1974) J. Math. Kyoto Univ. , vol.14 , pp. 1-28
    • Sumihiro, H.1
  • 39
    • 0000423118 scopus 로고
    • Equivariant completion II
    • Sumihiro, H.: Equivariant Completion II. J. Math. Kyoto Univ. 15, 573-605 (1975)
    • (1975) J. Math. Kyoto Univ. , vol.15 , pp. 573-605
    • Sumihiro, H.1


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