Proof of the Knop conjecture

By I. Losev. 2006

63 citations recorded by the source corpus.

In this paper we prove the Knop conjecture asserting that two smooth affine spherical varieties with the same weight monoids are equivariantly isomorphic. We also state and prove a uniqueness property for not necessarily smooth affine spherical varieties

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0c4a633217768c8da9a7318f47806f32d5b563ba

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. I. Losev
2. V. Ginzburg
3. T. Arakawa
4. A. Premet
5. I. Gordon
6. Ben Webster

In Mathematical Physics

1. I. Losev
2. V. Ginzburg
3. T. Arakawa
4. A. Premet
5. I. Gordon
6. Ben Webster

Citations in the corpus

• Uniqueness property for spherical homogeneous spaces (2007, background): “Theorem 1 significantly simplifies the proof of the Knop conjecture, [ Lo2 ], allowing to get rid of many ugly technical considerations.”
• The Spherical Systems of the Wonderful Reductive Subgroups (2011, unknown): “For example, affine smooth spherical varieties are “local models” of multiplicity-free hamiltonian manifolds, and have been the crucial ingredient to extend the well-known Delzant theorem from the abelian to the non-abelian case (see [13], [20] and [17]).”