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Cohomology and the resolution of the nilpotent variety

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References

  1. Brieskorn, E.: Singular elements of semi-simple algebraic groups. Actes du Congrès intern. des mathématiciens 1970, t. II, 279–284

  2. Burns, D.: On rational singularities in dimensions >2. Math. Ann.211, 237–244 (1974)

    Google Scholar 

  3. Séminaire H. Cartan, vol. 3, 1956–1957, New York: Benjamin 1967

  4. Cartier, P.: Remarks on “Lie algebra cohomology and the generalized Borel-Weil theorem” by B. Konstant. Ann. Math.74, 388–390 (1961)

    Google Scholar 

  5. Chevalley, C.: Classification des groupes de Lie algébriques. Notes polycopiées, Inst. H. Poincaré, Paris 1956–1958

  6. Demazure, M.: Une démonstration algébrique d'un théorème de Bott. Inventiones Math.5, 349–356 (1968)

    Google Scholar 

  7. Demazure, M.: Désingularisation des variétés de Schubert généralisées. Ann. Sc. Ec. Norm. Sup. 4e série, t.7, 53–88 (1974)

    Google Scholar 

  8. Godement, R.: Théorie des faisceaux. Paris: Hermann 1958

    Google Scholar 

  9. Grothendieck, A., Dieudonné, J.A.: Eléments de géométrie algébrique I. Grundlehren, 166. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  10. Grothendieck, A., Dieudonné, J.A.: Eléments de géométrie algébrique III. Publ. Math. de l'I.H.E.S.11 (Paris 1961)

  11. Hesselink, W.H.: Singularities in the nilpotent scheme of a classical group, to appear in Trans. A.M.S.

  12. Kempf, G. et al.: Toroidal Embeddings I. Lecture Notes in Math. 339. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  13. Kempf, G. R.: Images of homogeneous vector bundles and varieties of complexes. Bull. A.M.S.81, 900–901 (1975)

    Google Scholar 

  14. Kostant, B.: Lie group representations on polynomial rings. Amer. J. Math.85, 327–404 (1963)

    Google Scholar 

  15. Macdonald, I.G.: The Poincaré series of a Coxeter group. Math. Ann.199, 161–174 (1972)

    Google Scholar 

  16. Serre, J.-P.: Algébre locale—multiplicités. Lecture Notes in Math. 11. Berlin, Heidelberg, New York: Springer 1965

    Google Scholar 

  17. Springer, T.A.: The unipotent variety of a semisimple algebraic group. Proc. Bombay Coll. on Alg. Geometry 1968

  18. Steinberg, R.: Conjugacy classes in algebraic groups. Lecture Notes in Math. 366. Berlin, Heidelberg, New York: Springer 1974

    Google Scholar 

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  1. Department of Mathematics, University of Groningen, Postbox 800, Groningen, The Netherlands

    Wim H. Hesselink

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  1. Wim H. Hesselink
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Hesselink, W.H. Cohomology and the resolution of the nilpotent variety. Math. Ann. 223, 249–252 (1976). https://doi.org/10.1007/BF01360956

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