Almost complex toric manifolds and positive line bundles

• Autorzy: Akio Hattori
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 45
• Numer: 1
• Strony: 95-114

Daty

wydano

1998

Twórcy

autor

Akio Hattori

• Department of Mathematics, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasaki-shi, 214 Japan

Bibliografia

• [AB] M. Atiyah and R. Bott, The moment map and equivariant cohomology, Topology 23 (1984), 1-28.
• [D] T. Delzant, Hamiltoniens périodiques et image convexe de l'application moment, Bulletin Soc. Math. France 116 (1988), 315-339.
• [F] W. Fulton, Introduction to Toric Varieties, Ann. of Math. Studies, 131, Princeton Univ. Press, 1993.
• [GK] M. Grossberg and Y. Karshon, Equivariant index and the moment map for completely integrable torus actions, Adv. in Math. 133 (1998), 185-223.
• [H1] A. Hattori, $S^1$-actions on unitary manifolds and quasi-ample line bundles, J. Fac. Sci. Univ. Tokyo 31 (1985), 433-486.
• [H2] A. Hattori, Positive line bundle and index, Intern. J. Math. 7 (1996), 645-669.
• [KT] Y. Karshon and S. Tolman, The moment map and line bundles over presymplectic manifolds, J. Diff. Geom. 38 (1993), 465-484.
• [M] M. Masuda, Unitary toric manifolds, multi-fan and equivariant index, preprint (1997).
• [O] T. Oda, Convex Bodies and Algebraic Geometry, An Intoduction to The Theory of Toric Varieties, Springer-Verlag, 1988.