Fall 2023 COTANGENT BUNDLES OF MINUSCULE G/P
Marcus Fries
J. Commut. Algebra 15(3): 321-334 (Fall 2023). DOI: 10.1216/jca.2023.15.321

Abstract

We extend the results of the standard monomial theory to the cotangent variety of the Grassmannian, TGrass(k,n). We exhibit a standard basis in terms of triples of tableaux. We are also able to show that TGrass(k,n) is arithmetically Cohen–Macaulay and normal in all characteristics. Results on Cohen–Macaulayness and normality are shown for other algebraic groups and cominuscule parabolic subgroups, but only in characteristic zero.

Citation

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Marcus Fries. "COTANGENT BUNDLES OF MINUSCULE G/P." J. Commut. Algebra 15 (3) 321 - 334, Fall 2023. https://doi.org/10.1216/jca.2023.15.321

Information

Received: 16 April 2020; Revised: 25 October 2022; Accepted: 11 December 2022; Published: Fall 2023
First available in Project Euclid: 20 December 2023

Digital Object Identifier: 10.1216/jca.2023.15.321

Subjects:
Primary: 13F55 , 14M15

Keywords: G mod P , Grassmannian

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

Vol.15 • No. 3 • Fall 2023
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