Automorphisms, root systems, and compactifications of homogeneous varieties

Knop F (1996)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 1996

Journal

Journal of the American Mathematical Society American Mathematical Society

Publisher: American Mathematical Society

Book Volume: 9

Pages Range: 153-174

Journal Issue: 1

DOI: 10.1090/S0894-0347-96-00179-8

Abstract

Let X=G/H be a homogeneous spherical variety and A=N_G(H)/H its automorphism group. It is known that there is an equivariant compactification with exactly one closed orbit if and only if A is finite. In that case there is one which dominates all others: The standard (or wonderful) embedding X'. The purpose of the paper is to prove Brion's conjecture: If A is trivial then X' is smooth.

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie)

How to cite

APA:

Knop, F. (1996). Automorphisms, root systems, and compactifications of homogeneous varieties. Journal of the American Mathematical Society, 9(1), 153-174. https://doi.org/10.1090/S0894-0347-96-00179-8

MLA:

Knop, Friedrich. "Automorphisms, root systems, and compactifications of homogeneous varieties." Journal of the American Mathematical Society 9.1 (1996): 153-174.

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