@incollection{SB_2000-2001__43__1_0, author = {Bonavero, Laurent}, title = {Factorisation faible des applications birationnelles}, booktitle = {S\'eminaire Bourbaki : volume 2000/2001, expos\'es 880-893}, series = {Ast\'erisque}, note = {talk:880}, pages = {1--37}, publisher = {Soci\'et\'e math\'ematique de France}, number = {282}, year = {2002}, mrnumber = {1975173}, zbl = {1046.14005}, language = {fr}, url = {http://www.numdam.org/item/SB_2000-2001__43__1_0/} }
TY - CHAP AU - Bonavero, Laurent TI - Factorisation faible des applications birationnelles BT - Séminaire Bourbaki : volume 2000/2001, exposés 880-893 AU - Collectif T3 - Astérisque N1 - talk:880 PY - 2002 SP - 1 EP - 37 IS - 282 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_2000-2001__43__1_0/ LA - fr ID - SB_2000-2001__43__1_0 ER -
%0 Book Section %A Bonavero, Laurent %T Factorisation faible des applications birationnelles %B Séminaire Bourbaki : volume 2000/2001, exposés 880-893 %A Collectif %S Astérisque %Z talk:880 %D 2002 %P 1-37 %N 282 %I Société mathématique de France %U http://www.numdam.org/item/SB_2000-2001__43__1_0/ %G fr %F SB_2000-2001__43__1_0
Bonavero, Laurent. Factorisation faible des applications birationnelles, dans Séminaire Bourbaki : volume 2000/2001, exposés 880-893, Astérisque, no. 282 (2002), Exposé no. 880, 37 p. http://www.numdam.org/item/SB_2000-2001__43__1_0/
[AKMW99] Torification and factorization of birational maps. J. Amer. Math. Soc. 15, no. 3, (531-572) 2002. Preprint math. AG/9904135, 1999. | Zbl
, , , -[AMR99] A note on the factorization theorem of toric birational maps after Morelli and its toroidal extension. Tohoku Math. J. (2), 51, no. 4, (489-537) 1999. | MR | Zbl
, , -[AbO97] Alterations and resolution of singularities. In Resolution of Singularities, Progr. Math. 181, Birkhäuser, (39-108) 2000. | MR | Zbl
, -[BaR85] Etale slices for algebraic transformation groups in characteristic p. Proc. London Math. Soc. (3), 51, (295-317) 1985. | MR | Zbl
, -[BiM97] Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant. Invent. Math. 128 (2), (207-302) 1997. | MR | Zbl
, -[BPV84] Compact complex surfaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Band 4, Springer-Verlag, 1984. | MR | Zbl
, , -[BrP90] Action d'un tore dans une variété projective. In Operator algebras, unitary representations, enveloping algebras, and invariant theory (Paris, 1989), Progr. Math. 92, Birkhäuser, (509-539) 1990. | MR | Zbl
, -[DCP85] Complete Symmetric Varieties II. In Algebraic Groups and Related Topics (R. Hotta, ed.), Adv. Studies in Pure Math. 6, (481-513) 1985. | Zbl
, -[EnV97] Constructive desingularization. In Resolution of Singularities, Progr. Math., 181, Birkhäuser, (39-108) 2000. | MR
, -[Ewa96] Combinatorial convexity and algebraic geometry. Graduate Texts in Mathematics, 168, Springer-Verlag, 1996. | MR | Zbl
-[Ful84] Intersection theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Band 2, Springer-Verlag, 1984. | MR | Zbl
-[Ful93] Introduction to toric varieties. Annals of mathematics studies, 131, Princeton University Press, 1993. | MR | Zbl
-[GuS89] Birational equivalence in the symplectic category. Invent. Math. 97, No. 3, (485-522) 1989. | MR | Zbl
, -[Har77] Algebraic Geometry. Graduate Texts in Mathematics, 52, Springer-Verlag, 1977. | MR | Zbl
-[Hir64] Resolution of singularities of an algebraic variety over a field of characteristic zero. Annals of Math. vol 79, (109-326) 1964. | MR | Zbl
-[Hir75] Flattening theorem in complex analytic geometry. Amer. J. of Math. vol. 97, no. 2, (503-547) 1975. | MR | Zbl
-[KKMS73] Toroidal embeddings I. Lecture Notes in Mathematics, 339, Springer-Verlag, 1973. | MR | Zbl
, , , -[Lun73] Slices étales. Bull. Soc. Math. France, Suppl., Mem. No. 33, (81-105) 1973. | Numdam | MR | Zbl
-[Mat99] Lectures on factorization of birational maps. RIMS preprint math. AG/0002084, 2000. | MR
-[Mat00] Correction : "A note on the factorization theorem of toric birational maps after Morelli and its toroidal extension". Tohoku Math. J. (2), 52, no. 4, (629-631) 2000. | MR | Zbl
-[Moi67] On n-dimensional compact varieties with n algebraically independent meromorphic functions. Amer. Math. Soc. Trans. 63, (51-177) 1967. | Zbl
-[Mor96] The birational geometry of toric varieties. J. Alg. Geom. 5, (751-782) 1996. | MR | Zbl
-[MFK94] Geometric Invariant Theory (Third Enlarged Edition). Ergebnisse der Mathematik und ihrer Grenzgebiete, 034, Springer-Verlag, 1994. | MR | Zbl
, , -[Oda88] Convex bodies and algebraic geometry : an introduction to the theory of toric varieties. Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, 015, Springer-Verlag, 1988. | MR | Zbl
-[Sum74] Equivariant Completion I. J. Math. Kyoto Univ. 14, (1-28) 1974. | MR | Zbl
-[Sum75] Equivariant Completion II. J. Math. Kyoto Univ. 15, (573-605) 1975. | MR | Zbl
-[Vil89] Constructiveness of Hironaka's resolution. Ann. Sci. Ecole Norm. Sup. (4), 22, no. 1, (1-32) 1989. | Numdam | MR | Zbl
-[Wlo97] Decomposition of birational toric maps in blow-ups and blow-downs. A proof of the weak Oda conjecture. Transactions of the AMS 349, (373-411) 1997. | Zbl
-[Wlo00] Birational cobordism and factorization of birational maps. J. Alg. Geom. 9, no. 3, (425-449) 2000. | Zbl
-[Wlod99] Combinatorial structures on toroidal varieties and a proof of the weak factorization theorem. Preprint math. AG/9904076, 1999.
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