On cones tangent to Schubert varieties of type $D_n$
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M. V. Ignat′ev and A. A. Shevchenko
Translated by: M. V. Ignat′ev - St. Petersburg Math. J. 27 (2016), 609-623
- DOI: https://doi.org/10.1090/spmj/1408
- Published electronically: June 2, 2016
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Abstract:
It is proved that the tangent cones to Schubert subvarieties of the flag variety of a reductive group with root system of type $D_n$ do not coincide if they correspond to different basic involutions in the Weyl group.References
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Bibliographic Information
- M. V. Ignat′ev
- Affiliation: Division of Algebra and Geometry, Samara State University, Russia
- Email: mihail.ignatev@gmail.com
- A. A. Shevchenko
- Affiliation: Division of Algebra and Geometry, Samara State University, Russia
- Email: shevchenko.alexander.1618@gmail.com
- Received by editor(s): February 2, 2015
- Published electronically: June 2, 2016
- Additional Notes: Partially supported by RFBR (grants nos. 14-01-31052 and 14-01-97017). The first author was partially supported by the Dynasty Foundation, by Max Planck Institute for Mathematics, and by the Ministry of Science and Education of the Russian Federation.
- © Copyright 2016 American Mathematical Society
- Journal: St. Petersburg Math. J. 27 (2016), 609-623
- MSC (2010): Primary 14L30
- DOI: https://doi.org/10.1090/spmj/1408
- MathSciNet review: 3580190