Rationally connected 3-folds and symplectic geometry
Géométrie différentielle, physique mathématique, mathématiques et société (II) - Volume en l'honneur de Jean-Pierre Bourguignon, Astérisque, no. 322 (2008), pp. 1-21. 
@incollection{AST_2008__322__1_0,
     author = {Voisin, Claire},
     title = {Rationally connected $3$-folds and symplectic geometry},
     booktitle = {G\'eom\'etrie diff\'erentielle, physique math\'ematique, math\'ematiques et soci\'et\'e (II) - Volume en l'honneur de Jean-Pierre Bourguignon},
     editor = {Hijazi Oussama},
     series = {Ast\'erisque},
     pages = {1--21},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {322},
     year = {2008},
     mrnumber = {2521651},
     zbl = {1178.14048},
     language = {en},
     url = {http://archive.numdam.org/item/AST_2008__322__1_0/}
}
TY  - CHAP
AU  - Voisin, Claire
TI  - Rationally connected $3$-folds and symplectic geometry
BT  - Géométrie différentielle, physique mathématique, mathématiques et société (II) - Volume en l'honneur de Jean-Pierre Bourguignon
AU  - Collectif
ED  - Hijazi Oussama
T3  - Astérisque
PY  - 2008
SP  - 1
EP  - 21
IS  - 322
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/AST_2008__322__1_0/
LA  - en
ID  - AST_2008__322__1_0
ER  - 
%0 Book Section
%A Voisin, Claire
%T Rationally connected $3$-folds and symplectic geometry
%B Géométrie différentielle, physique mathématique, mathématiques et société (II) - Volume en l'honneur de Jean-Pierre Bourguignon
%A Collectif
%E Hijazi Oussama
%S Astérisque
%D 2008
%P 1-21
%N 322
%I Société mathématique de France
%U http://archive.numdam.org/item/AST_2008__322__1_0/
%G en
%F AST_2008__322__1_0
Voisin, Claire. Rationally connected $3$-folds and symplectic geometry, dans Géométrie différentielle, physique mathématique, mathématiques et société (II) - Volume en l'honneur de Jean-Pierre Bourguignon, Astérisque, no. 322 (2008), pp. 1-21. http://archive.numdam.org/item/AST_2008__322__1_0/

[1] K. Behrend & B. Fantechi - "The intrinsic normal cone", Invent. Math. 128 (1997), p. 45-88. | DOI | MR | Zbl

[2] F. Campana - "Connexité rationnelle des variétés de Fano", Ann. Sci. École Norm. Sup. 25 (1992), p. 539-545. | DOI | EuDML | Numdam | MR | Zbl

[3] F. Campana & T. Peternell - "Rigidity theorems for primitive Fano 3-folds", Comm. Anal. Geom. 2 (1994), p. 173-201. | DOI | MR | Zbl

[4] W. Fulton & R. Pandharipande - "Notes on stable maps and quantum cohomology", in Algebraic geometry-Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62, Amer. Math. Soc., 1997, p. 45-96. | DOI | MR | Zbl

[5] T. Graber, J. Harris & J. Starr - "Families of rationally connected varieties", J. Amer. Math. Soc. 16 (2003), p. 57-67. | DOI | MR | Zbl

[6] J. Hu, T.-J. Li & Y. Ruan - "Birational cobordism invariance of uniruled symplectic manifolds", Invent. Math. 172 (2008), p. 231-275. | DOI | MR | Zbl

[7] Y. Kawamata, K. Matsuda & K. Matsuki - "Introduction to the minimal model problem", in Algebraic geometry, Sendai, 1985, Adv. Stud. Pure Math., vol. 10, North-Holland, 1987, p. 283-360. | DOI | MR | Zbl

[8] J. Kollár - Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 32, Springer, 1996. | MR | Zbl

[9] J. Kollár, "Low degree polynomial equations: arithmetic, geometry and topology", in European Congress of Mathematics, Vol. I (Budapest, 1996), Progr. Math., vol. 168, Birkhäuser, 1998, p. 255-288. | MR | Zbl

[10] J. Kollár, Y. Miyaoka & S. Mori - "Rational connectedness and boundedness of Fano manifolds", J. Differential Geom. 36 (1992), p. 765-779. | DOI | MR | Zbl

[11] J. Kollár, Y. Miyaoka & S. Mori, "Rationally connected varieties", J. Algebraic Geom. 1 (1992), p. 429-448. | MR | Zbl

[12] J. Li & G. Tian - "Comparison of algebraic and symplectic Gromov-Witten invariants", Asian J. Math. 3 (1999), p. 689-728. | DOI | MR | Zbl

[13] D. Mcduff - "The structure of rational and ruled symplectic 4-manifolds", J. Amer. Math. Soc. 3 (1990), p. 679-712. | MR | Zbl

[14] D. Mcduff, "Hamiltonian S 1 manifolds are uniruled", preprint, 2007. | MR | Zbl

[15] Y. Miyaoka & T. Peternell - Geometry of higher-dimensional algebraic varieties, DMV Seminar, vol. 26, Birkhäuser, 1997. | MR | Zbl

[16] S. Mori - "Threefolds whose canonical bundles are not numerically effective", Ann. of Math. 116 (1982), p. 133-176. | DOI | MR | Zbl

[17] S. Mori & S. Mukai - "Classification of Fano 3-folds with B 2 ≥2", Manuscripta Math. 36 (1981/82), p. 147-162. | DOI | EuDML | MR | Zbl

[18] Y. Ruan - "Symplectic topology and extremal rays", Geom. Funct. Anal. 3 (1993), p. 395-430. | DOI | EuDML | MR | Zbl

[19] Y. Ruan, "Virtual neighborhoods and pseudo-holomorphic curves", in Proceedings of 6th Gökova Geometry-Topology Conference, vol. 23, 1999, p. 161-231. | MR | Zbl

[20] B. Siebert - "Algebraic and symplectic Gromov-Witten invariants coincide", Ann. Inst. Fourier (Grenoble) 49 (1999), p. 1743-1795. | DOI | EuDML | Numdam | MR | Zbl