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Equivariant sheaves on some spherical varieties
| 1. | Department of Mathematics, University of Southern California, Los Angeles, CA, 90089, United States |
| 2. | Department of Mathematics, Hood College, Frederick, MD 21701, United States |
References:
| [1] |
A. Asok and J. Parson, Equivariant sheaves on spherical varieties, in preparation. |
| [2] |
A. Asok, Equivariant vector bundles on certain affine $G$-varieties, Pure Appl. Math. Q., 2 (2006), 1085-1102. |
| [3] |
M. Demazure and P. Gabriel, "Groupes Algébriques. Tome I: Géométrie Algébrique, Généralités, Groupes Commutatifs," Avec un appendice Corps de classes local par Michiel Hazewinkel, Masson & Cie, Éditeur, Paris, North-Holland Publishing Co., Amsterdam, 1970. |
| [4] |
J. Giraud, Méthode de la descente, Bull. Soc. Math. France Mém., 2 (1964), viii+150. |
| [5] |
S. Kato, Equivariant vector bundles on group completions, J. Reine Angew. Math., 581 (2005), 71-116.
doi: 10.1515/crll.2005.2005.581.71. |
| [6] |
A. A. Klyachko, Equivariant bundles over toric varieties, (Russian) Izv. Akad. Nauk SSSR Ser. Mat., 53 (1989), 1001-1039, 1135, translation in Math. USSR-Izv., 35 (1990), 337-375.
doi: 10.1070/IM1990v035n02ABEH000707. |
| [7] |
F. Knop, "The Luna-Vust Theory of Spherical Embeddings," Proceedings of the Hyderabad Conference on Algebraic Groups (Hyderabad, 1989), 225-249, Manoj Prakashan, Madras, 1991. |
| [8] |
F. Knop, The asymptotic behavior of invariant collective motion, Invent. Math., 116 (1994), 309-328.
doi: 10.1007/BF01231563. |
| [9] |
Revêtements étales et groupe fondamental (SGA 1), Documents Mathématiques (Paris) [Mathematical Documents (Paris)], 3, Société Mathématique de France, Paris, 2003, Séminaire de géométrie algébrique du Bois Marie 1960-61 [Algebraic Geometry Seminar of Bois Marie 1960-61], Directed by A. Grothendieck, With two papers by M. Raynaud, Updated and annotated reprint of the 1971 original [Lecture Notes in Math., 224, Springer, Berlin; MR0354651 (50 \#7129)]. |
| [10] |
D. Timashev, "Homogeneous Spaces and Equivariant Embeddings," Encyclopaedia of Mathematical Sciences, 138, Invariant Theory and Algebraic Transformation Groups, 8, Springer, Heidelberg, 2011. |
show all references
References:
| [1] |
A. Asok and J. Parson, Equivariant sheaves on spherical varieties, in preparation. |
| [2] |
A. Asok, Equivariant vector bundles on certain affine $G$-varieties, Pure Appl. Math. Q., 2 (2006), 1085-1102. |
| [3] |
M. Demazure and P. Gabriel, "Groupes Algébriques. Tome I: Géométrie Algébrique, Généralités, Groupes Commutatifs," Avec un appendice Corps de classes local par Michiel Hazewinkel, Masson & Cie, Éditeur, Paris, North-Holland Publishing Co., Amsterdam, 1970. |
| [4] |
J. Giraud, Méthode de la descente, Bull. Soc. Math. France Mém., 2 (1964), viii+150. |
| [5] |
S. Kato, Equivariant vector bundles on group completions, J. Reine Angew. Math., 581 (2005), 71-116.
doi: 10.1515/crll.2005.2005.581.71. |
| [6] |
A. A. Klyachko, Equivariant bundles over toric varieties, (Russian) Izv. Akad. Nauk SSSR Ser. Mat., 53 (1989), 1001-1039, 1135, translation in Math. USSR-Izv., 35 (1990), 337-375.
doi: 10.1070/IM1990v035n02ABEH000707. |
| [7] |
F. Knop, "The Luna-Vust Theory of Spherical Embeddings," Proceedings of the Hyderabad Conference on Algebraic Groups (Hyderabad, 1989), 225-249, Manoj Prakashan, Madras, 1991. |
| [8] |
F. Knop, The asymptotic behavior of invariant collective motion, Invent. Math., 116 (1994), 309-328.
doi: 10.1007/BF01231563. |
| [9] |
Revêtements étales et groupe fondamental (SGA 1), Documents Mathématiques (Paris) [Mathematical Documents (Paris)], 3, Société Mathématique de France, Paris, 2003, Séminaire de géométrie algébrique du Bois Marie 1960-61 [Algebraic Geometry Seminar of Bois Marie 1960-61], Directed by A. Grothendieck, With two papers by M. Raynaud, Updated and annotated reprint of the 1971 original [Lecture Notes in Math., 224, Springer, Berlin; MR0354651 (50 \#7129)]. |
| [10] |
D. Timashev, "Homogeneous Spaces and Equivariant Embeddings," Encyclopaedia of Mathematical Sciences, 138, Invariant Theory and Algebraic Transformation Groups, 8, Springer, Heidelberg, 2011. |
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