Timeline for Morphisms of the spherical data of spherical homogeneous spaces
Current License: CC BY-SA 3.0
6 events
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Sep 28, 2016 at 16:28 | vote | accept | Mikhail Borovoi | ||
Sep 28, 2016 at 11:06 | history | edited | Friedrich Knop | CC BY-SA 3.0 |
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Sep 28, 2016 at 10:13 | comment | added | Friedrich Knop | Yes, that's my understanding. All automorphisms of a spherical datum come from a permutation of colors and these are all induced by an automorphism of the spherical variety. This follows from Thm. 2 and known structural properties of spherical data. | |
Sep 28, 2016 at 9:38 | comment | added | Mikhail Borovoi | Thank you, Friedrich! Do I understand correctly, that in the case when $\lambda=(\lambda_N,\lambda_{\mathcal D})$ is an isomorphism, there does exist an isomorphism $\varphi\colon X_1\to X_2$ inducing $\lambda$? If yes, does this follow from Losev's Theorem 1 and Theorem 2? | |
Sep 28, 2016 at 9:24 | history | edited | Friedrich Knop | CC BY-SA 3.0 |
added 122 characters in body
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Sep 28, 2016 at 9:09 | history | answered | Friedrich Knop | CC BY-SA 3.0 |