Counting curves via lattice paths in polygons;Calcul de courbes holomorphes par chemins en polygones

Comptes Rendus Mathematique

Volumn 336, Issue 8, 2003, Pages 629-634

  Mikhalkin, Grigory ^a,b  

^a UNIVERSITY OF UTAH   (United States)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038783163     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00104-3     Document Type: Article

References (8)

1. L. Caporaso, J. Harris, Counting plane curves of any genus, Invent. Math. 131 (1998) 345-392.
2. I.M. Gelfand, M.M. Kapranov, A.V. Zelevinski, Discriminants, Resultants and Multidimensional Determinants, Birkhäuser, Boston, 1994.
3. M. Kontsevich, Yu. Manin, Gromov-Witten classes, quantum cohomology and enumerative geometry, Comm. Math. Phys. 164 (1994) 525-562.
4. M. Kontsevich, Ya. Soibelman, Homological mirror symmetry and torus fibrations, math.SG/0011041.
5. G. Mikhalkin, Gromov-Witten invariants and tropical algebraic geometry, to appear.
6. B. Sturmfels, Solving Systems of Polynomial Equations, CBMS Regional Conf. Ser. in Math., American Mathematical Society, Providence, RI, 2002.
7. R. Vakil, Counting curves on rational surfaces, Manuscripta Math. 102 (2000) 53-84.
8. J.-Y. Welschinger, Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry, C. R. Acad. Sci. Paris, 2003, to appear.