@book{AST_2007__313__1_0, author = {Tuan Ngo Dac}, title = {Compactification des champs de {Chtoucas} et th\'eorie g\'eom\'etrique des invariants}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {313}, year = {2007}, mrnumber = {2419827}, zbl = {1144.11047}, language = {fr}, url = {http://archive.numdam.org/item/AST_2007__313__1_0/} }
Tuan Ngo Dac. Compactification des champs de Chtoucas et théorie géométrique des invariants. Astérisque, no. 313 (2007), 128 p. http://numdam.org/item/AST_2007__313__1_0/
[1] Frobenius splitting methods in geometry and representation theory, Progress in Mathematics, vol. 231, Birkhäuser, Boston, MA, 2005. | MR | Zbl
& -[2] Variation of geometric invariant theory quotients, IHÉS Publ. Math., t. 87 (1998), pp. 5-56. | MR | Zbl | EuDML | DOI
& -[3] Varieties of modules of -sheaves, Funct. Anal. Appl., t. 21 (1987), pp. 107-122. | MR | Zbl | DOI
-[4] Cohomology of compactified manifolds of modules of -sheaves of rank , J. Soviet Math., t. 46 (1989), pp. 1789-1821. | MR | Zbl | DOI
,[5] On the moduli of vector bundles on an algebraic surface, Annals of Math., t. 106 (1977), pp. 45-60. | MR | Zbl | DOI
-[6] On the cohomology groups of moduli spaces of vector bundles on curves, Math. Ann., t. 212 (1975), pp. 215-248. | MR | Zbl | EuDML | DOI
& -[7] Cours à l'Institut Tata sur les chtoucas de Drinfeld et la correspondance de Langlands, Prépublication IHÉS, M/02/45.
-[8] Chtoucas de Drinfeld et conjecture de Ramanujan-Petersson, Astérisque, t. 243 (1997). | MR | Zbl | Numdam
,[9] Une compactification des champs classifiant les chtoucas de Drinfeld, J. Amer. Math. Soc., t. 11 (1998), pp. 1001-1036. | MR | Zbl | DOI
,[10] Chtoucas de Drinfeld et correspondance de Langlands, Invent. Math., t. 147 (2002), pp. 1-241. | MR | Zbl | DOI
),[11] Valuative criteria for families of vector bundles on algebraic varieties, Annals of Math., t. 101 (1975), pp. 88-110. | MR | Zbl | DOI
-[12] Champs algébriques, vol. 39, Springer, 1999. | MR | Zbl
& -[13] Geometric Invariant Theory, 3rd enlarged ed., vol. 34, Springer, 1994. | MR | Zbl
, & -[14] -chtoucas de Drinfeld à modifications symétriques et identité de changement de base, Ann. Sci. École Norm. Sup, t. 39 (2006), pp. 197-243. | MR | Zbl | EuDML | Numdam | DOI
-[15] Master spaces for stable pairs, Topology, t. 38 (1999), pp. 117-139. | MR | Zbl | DOI
, & -[16] Master spaces and the coupling principe : from geometric invariant theory to gauge theory, Comm. Math. Phys., t. 205 (1999), pp. 437-458. | MR | Zbl | DOI
& -[17] Variation of geometric invariant theory quotients', Inst. Hautes Études Sci. Publ. Math., t. 87 (1998), pp. 5-56. | MR | Zbl | DOI
- Appendix of '[18] The GIT-equivalence for -line bundles, Geom. Dedicata, t. 81 (2000), pp. 295-324. | MR | Zbl | DOI
,[19] Quotient spaces modulo reductive algebraic groups, Annals of Math., t. 95 (1972), pp. 511-556. | MR | Zbl | DOI
-[20] Geometric invariant theory and flips, J. Amer. Math. Soc., t. 9 (1996), pp. 691-723. | MR | Zbl | DOI
-[21] Exposés à l'Institut Tata, 2001.
-[22] Moduli spaces of principal -bundles, Selecta Math., t. 10 (2004), pp. 131-166. | MR | Zbl | DOI
,[23] On reductive algebraic semigroups, in 'Lie groups and Lie algebras', E. B. Dynkin's seminar, Am. Math. Soc. Transl. Ser. 2, t. 169 (1995), pp. 145-182. | MR | Zbl
-[24] Basic number theory, 3rd ed., Die Grundlehren der Mathematischen Wissenschaften, vol. 144, Springer, 1974. | Zbl
-