Advanced search
Publication Cover
Experimental Mathematics Volume 28, 2019 - Issue 3
Submit an article Journal homepage
69
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Strict Bott–Samelson Resolutions of Schubert Varieties

Sergio Da SilvaCornell University, Ithaca, NY, USACorrespondence[email protected]
Pages 313-321 | Published online: 11 Dec 2017

References

  • [Anderson 14] D. Anderson. Effective Divisors on Bott–Samelson Varieties. arXiv:1501.00034, 2014.
  • [Bierstone and Milman 97] E. Bierstone and P. D. Milman. “Canonical Desingularization in Characteristic Zero by Blowing Up the Maximum Strata of a Local Invariant.” Invent. Math. 128 (1997), 207–302.
  • [Bott and Samelson 58] R. Bott and H. Samelson. “Applications of the Theory of Morse to Symmetric Spaces,” Am. J. Math. 80 (1958), 964–1029.
  • [Cortez 01] A. Cortez. “Singularités génériques des variétés de Schubert covexillaires,” Ann. Inst. Fourier (Grenoble) 51:2 (2001), 375–393.
  • [Cortez 02] A. Cortez. “Singularités génériques et quasi-résolutions des variétés de Schubert pour le groupe linéaire,” C. R. Acad. Sci. Paris 333 (2001), 561–566.
  • [Cox et al. 11] D. Cox, J. Little, and H. Schenck. Toric Varieties: Graduate Studies in Mathematics, Vol. 12. Providence, Rhode Island: American Mathematical Society, 2011.
  • [Demazure 74] M. Demazure. “Désingularisation des variétés de Schubert généralisées,” Annales Scientifiques de l’École Normale Supérieure 7:4 (1974), 53–88.
  • [Escobar 14] L. Escobar. “Brick manifolds and toric varieties of brick polytopes.” Electron. J. Combin. 23:2 (2016), 2–25.
  • [Gaussent 01] S. Gaussent. “The Fibre of the Bott–Samelson Resolution,” Indag. Math. (N.S.) 12:4 (2001), 453–468.
  • [Gaussent 05] S. Gaussent. “Erratum to: The Fibre of the Bott–Samelson Resolution,” Indag. Math. (N.S.) 16:2 (2005), 179–180.
  • [Hansen 73] H. C. Hansen. “On Cycles in Flag Manifolds,” Mathematica Scandinavica 33 (1973), 269–274.
  • [Hironaka 64] H. Hironaka. “Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I,” Ann. of Math. (2) 79:1 (1964), 109–203.
  • [Kollár 07] J. Kollár. Lectures on Resolution of Singularities. Princeton, New Jersey: Princeton University Press, 2007.
  • [Woo and Yong 08] A. Woo and A. Yong. “Governing Singularities of Schubert Varieties,” J. Algebra 320:2 (2008), 495–520.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.