From standard monomial theory to semi-toric degenerations via Newton–Okounkov bodies
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- by X. Fang and P. Littelmann
- Trans. Moscow Math. Soc. 2017, 275-297
- DOI: https://doi.org/10.1090/mosc/273
- Published electronically: December 1, 2017
Abstract:
The Hodge algebra structures on the homogeneous coordinate rings of Grassmann varieties provide semi-toric degenerations of these varieties. In this paper we construct these semi-toric degenerations using quasi-valuations and triangulations of Newton–Okounkov bodies.References
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Bibliographic Information
- X. Fang
- Affiliation: Mathematisches Institut, Universität zu Köln, Cologne, Germany
- Email: xfang@math.uni-koeln.de
- P. Littelmann
- Affiliation: Mathematisches Institut, Universität zu Köln, Cologne, Germany
- Email: peter.littelmann@math.uni-koeln.de
- Published electronically: December 1, 2017
- © Copyright 2017 X. Fang, P. Littelmann
- Journal: Trans. Moscow Math. Soc. 2017, 275-297
- MSC (2010): Primary 14M15; Secondary 14M25, 52B20
- DOI: https://doi.org/10.1090/mosc/273
- MathSciNet review: 3738089
Dedicated: Dedicated to Ernest Vinberg on the occasion of his 80th birthday