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  • Cited by 7
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Insko, Erik and Tymoczko, Julianna 2016. Intersection theory of the Peterson variety and certain singularities of Schubert varieties. Geometriae Dedicata, Vol. 180, Issue. 1, p. 95.

    Robles, C. 2014. Singular loci of cominuscule Schubert varieties. Journal of Pure and Applied Algebra, Vol. 218, Issue. 4, p. 745.

    Woo, Alexander and Yong, Alexander 2008. Governing singularities of Schubert varieties. Journal of Algebra, Vol. 320, Issue. 2, p. 495.

    Woo, Alexander and Yong, Alexander 2006. When is a Schubert variety Gorenstein?. Advances in Mathematics, Vol. 207, Issue. 1, p. 205.

    Billey, Sara and Postnikov, Alexander 2005. Smoothness of Schubert varieties via patterns in root subsystems. Advances in Applied Mathematics, Vol. 34, Issue. 3, p. 447.

    Cortez, Aurélie 2003. Singularités génériques et quasi-résolutions des variétés de Schubert pour le groupe linéaire. Advances in Mathematics, Vol. 178, Issue. 2, p. 396.

    Kassel, Christian Lascoux, Alain and Reutenauer, Christophe 2003. The singular locus of a Schubert variety. Journal of Algebra, Vol. 269, Issue. 1, p. 74.


Sufficiency of Lakshmibai–Sandhya Singularity Conditions for Schubert Varieties

  • Vesselin Gasharov (a1)
  • DOI:
  • Published online: 01 March 2001

We establish one direction of a conjecture by Lakshmibai and Sandhya which describes combinatorially the singular locus of a Schubert variety. We prove that the conjectured singular locus is contained in the singular locus.

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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
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