Minimal Schubert Varieties Admitting Semistable Points for Exceptional Cases |
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Authors: | S. K. Pattanayak |
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Affiliation: | 1. Department of Mathematics , The Weizmann Institute of Science , Rehovot , Israel santosha@weizmann.ac.il |
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Abstract: | For any simple, simply connected algebraic group G of exceptional types (E 6, E 7, E 8, F 4, and G 2) and for any maximal parabolic subgroup P of G, we describe all minimal (with respect to inclusion) Schubert varieties in G/P admitting semistable points for the action of a maximal torus T with respect to an ample line bundle on G/P. This completes the answer to a question proposed in [8 Kannan , S. S. , Pattanayak , S. K. ( 2009 ). Torus quotients of homogeneous spaces: Minimal dimensional Schubert varieties admitting semi-stable points . Proc. Indian Acad. Sci. (Math. Sci.) 119 ( 4 ): 469 – 485 .[Crossref], [Web of Science ®] , [Google Scholar]] and settled there in the classical case. |
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Keywords: | Line bundle Schubert variety Semistable point |
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