@incollection{AST_2014__361__1_0, author = {Boucksom, S\'ebastien}, title = {Corps {d'Okounkov} [d'apr\`es {Okounkov,} {Lazarsfeld-Musta\c{t}\u{a}} et {Kaveh-Khovanskii]}}, booktitle = {S\'eminaire Bourbaki volume 2012/2013 : expos\'es 1059-1073 - Avec table par noms d'auteurs de 1948/49 \`a 2012/13}, series = {Ast\'erisque}, note = {talk:1059}, pages = {1--41}, publisher = {Soci\'et\'e math\'ematique de France}, number = {361}, year = {2014}, mrnumber = {3289276}, zbl = {1365.14059}, language = {fr}, url = {http://www.numdam.org/item/AST_2014__361__1_0/} }
TY - CHAP AU - Boucksom, Sébastien TI - Corps d'Okounkov [d'après Okounkov, Lazarsfeld-Mustaţă et Kaveh-Khovanskii] BT - Séminaire Bourbaki volume 2012/2013 : exposés 1059-1073 - Avec table par noms d'auteurs de 1948/49 à 2012/13 AU - Collectif T3 - Astérisque N1 - talk:1059 PY - 2014 SP - 1 EP - 41 IS - 361 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2014__361__1_0/ LA - fr ID - AST_2014__361__1_0 ER -
%0 Book Section %A Boucksom, Sébastien %T Corps d'Okounkov [d'après Okounkov, Lazarsfeld-Mustaţă et Kaveh-Khovanskii] %B Séminaire Bourbaki volume 2012/2013 : exposés 1059-1073 - Avec table par noms d'auteurs de 1948/49 à 2012/13 %A Collectif %S Astérisque %Z talk:1059 %D 2014 %P 1-41 %N 361 %I Société mathématique de France %U http://www.numdam.org/item/AST_2014__361__1_0/ %G fr %F AST_2014__361__1_0
Boucksom, Sébastien. Corps d'Okounkov [d'après Okounkov, Lazarsfeld-Mustaţă et Kaveh-Khovanskii], in Séminaire Bourbaki volume 2012/2013 : exposés 1059-1073 - Avec table par noms d'auteurs de 1948/49 à 2012/13, Astérisque, no. 361 (2014), Talk no. 1059, 41 p. http://www.numdam.org/item/AST_2014__361__1_0/
[And11] Okounkov bodies and toric degenerations », Math. Ann. 356 (2013), no. 3, p. 1183-1202. | DOI | MR | Zbl
- «[AKL12] Okounkov bodies of finitely generated divisors », prépublication arXiv : 1206.2499, 2012. | MR | Zbl
, & - «[BC11] Okounkov bodies of filtered linear series », Compos. Math. 147 (2011), no. 4, p. 1205-1229. | DOI | MR | Zbl
& - «[BDPP04] The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension », J. Algebraic Geom. 22 (2013), no. 2, p. 201-248. | DOI | MR | Zbl
, , & - «[BFJ09] Differentiability of volumes of divisors and a problem of Teissier ». J. Algebraic Geom. 18 (2009), no. 2, p. 279-308. | DOI | MR | Zbl
, & - «[BG09] Polytopes, rings, and -theory, Springer Monogr. Math., Springer, Dordrecht, 2009. | MR | Zbl
& -[CS12a] Multiplicities Associated to Graded Families of Ideals », prépublication arXiv:1206.4077. 2012. | MR
- «[CS12b] The asymptotic growth of graded linear series on arbitrary projective schemes », prépublication arXiv:1212.6186, 2012.
- «[CS93] On a problem of Zariski on dimensions of linear systems », Ann. of Math. (2) 137 (1993), no. 3, p. 531-559. | DOI | MR | Zbl
& - «[DPS94] Compact complex manifolds with numerically effective tangent bundles », J. Algebraic Geom. 3 (1994), no. 2, p. 295-345. | MR | Zbl
, & - «[dBP12] Restricted volumes of effective divisors », prépublication arXiv:1207.1204, 2012. | MR | Zbl
& - «[ELS03] Uniform approximation of Abhyankar valuation ideals in smooth function fields », Amer. J. Math. 125 (2003), no. 2, p. 409-440. | DOI | MR | Zbl
, & - «[Eis] Commutative algebra, with a view toward algebraic geometry, Grad. Texts in Math., vol. 150, Springer-Verlag, New York, 1995. | MR | Zbl
-[Fuj83] Semipositive line bundles », J. Fac. Sci. Univ. Tokyo Sect. IA Math, 30 (1983), no. 2, p. 353-378. | MR | Zbl
- «[HK12] Integrable systems, toric degeneration's and Okounkov bodies », prépublication arXiv:1205.5249v1, 2012. | MR
& - «[Har77] Algebraic geometry, Grad. Texts in Math., vol. 52, Springer-Verlag, New York, 1977. | DOI | MR | Zbl
-[Iit71] On -dimensions of algebraic varieties », J. Math. Soc. Japan 23 (1971), p. 356-373. | DOI | MR | Zbl
- «[Jow12] Okounkov bodies and restricted volumes along very general curves », Adv. Math. 223 (2010), no. 4, p. 1356-1371. | MR | Zbl
- «[KK09] Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory », Ann. of Math. (2) 176 (2012), no. 2, p. 925-978. | DOI | MR | Zbl
& - «[KK12] Convex bodies associated to actions of reductive groups », Mosc. Math, J. 12 (2012), no. 2, p. 369-396, 461. | DOI | MR | Zbl
& - «[KLM12] Convex bodies appearing as Okounkov bodies of divisors ». Adv. Math. 229 (2012), no. 5, p. 2622-2639. | MR | Zbl
, & - «[Laz04] Positivity in algebraic geometry I, Ergeb. Math. Grenzgeb. (3), vol. 48, Springer-Verlag, Berlin, 2004. | MR | Zbl
-[LM09] Convex bodies associated to linear series », Ann. Sci. Éc. Norm. Super. (4) 42 (2009), no. 5, p. 783-835. | DOI | EuDML | Numdam | MR | Zbl
& - «[Leh11] Comparing numerical dimensions », Algebra Number Theory 7 (2013), no. 5, p. 1065-1100. | DOI | MR | Zbl
- «[Nak04] Zariski-decomposition and abundance, MSJ Mem., vol. 14, Math. Soc. Japan, Tokyo, 2004. | MR | Zbl
-[Oda88] Convex bodies and algebraic geometry - toric varieties and applications I », in Algebraic Geometry Seminar (Singapore, 1987), World Sci. Publishing, Singapore, 1988, p. 89-94. | EuDML | MR | Zbl
- «[Ok96] Brunn-Minkowski inequality for multiplicities », Invent. Math. 125 (1996). no. 3, p. 405-411. | DOI | MR | Zbl
- «[Ok00] Why would multiplicities be log-concave ? », in The orbit method in geometry and physics (Marseille, 2000), Progr. Math., vol. 213, Birkhäuser Boston, Boston, 2003, p. 329-347. | DOI | MR | Zbl
, «[Sep12] Okounkov bodies for ample line bundles », prepublication arXiv:1007.1915v3. 2012.
- «[Sze11] Filtrations and test configurations », prépublication arXiv:1111.4986vl. 2011. | MR | Zbl
- «[Tei03] Valuations, deformations, and toric geometry », in Valuation theory and its applications (Proceedings of the Saskatoon Conference and Workshop, 1999) II (F.-V. Kuhlmann, S. Kuhlmann & M. Marshall, éds.), Fields Inst. Commun., vol. 33, Amer. Math. Soc., Providence, 2003, p. 361-459. | MR | Zbl
- «[Vaq06] Valuations and local uniformization », in Singularity theory and its applications (S. Izumiya, G. Ishikawa, H. Tokunaga, I. Shimada & T. Sano, éds.), Adv. Stud. Pure Math., vol. 43, Math. Soc. Japan, Tokyo, 2006, p. 477-527. | MR
- «[WN09] Transforming metrics on a line bundle to the Okounkov body », prépublication arXiv:0903.5167, 2009. | MR
- «[WN10] Test configurations and Okounkov bodies », Compos. Math. 148 (2012), no. 6, p. 1736-1756. | DOI | MR | Zbl
, «[Yua09] On volumes of arithmetic line bundles », Compos. Math. 145 (2009), no. 6, p. 1447-1464. | DOI | MR | Zbl
- «[Zar62] The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface », Ann. of Math. (2) 76 (1962), p. 560-615. | DOI | MR | Zbl
- «[ZS60] Commutative algebra II, Springer-Verlag, 1960. | Zbl
& -