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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Hilbert functions of points on Schubert varieties in the symplectic Grassmannian
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by Sudhir R. Ghorpade and K. N. Raghavan PDF
Trans. Amer. Math. Soc. 358 (2006), 5401-5423 Request permission

Abstract:

We give an explicit combinatorial description of the multiplicity as well as the Hilbert function of the tangent cone at any point on a Schubert variety in the symplectic Grassmannian.
References
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Additional Information
  • Sudhir R. Ghorpade
  • Affiliation: Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India
  • MR Author ID: 306883
  • ORCID: 0000-0002-6516-3623
  • Email: srg@math.iitb.ac.in
  • K. N. Raghavan
  • Affiliation: Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600 113, India
  • MR Author ID: 314780
  • Email: knr@imsc.ernet.in
  • Received by editor(s): September 20, 2004
  • Published electronically: July 20, 2006
  • © Copyright 2006 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 358 (2006), 5401-5423
  • MSC (2000): Primary 14M15, 13F50, 13A30
  • DOI: https://doi.org/10.1090/S0002-9947-06-04037-2
  • MathSciNet review: 2238920