Artículos de revistas
Bounds For Sectional Genera Of Varieties Invariant Under Pfaff Fields
Registro en:
Illinois Journal Of Mathematics. , v. 56, n. 2, p. 343 - 352, 2012.
192082
2-s2.0-84888163733
Autor
Correa Jr. M.
Jardim M.
Institución
Resumen
We establish an upper bound for the sectional genus of varieties which are invariant under Pfaff fields on projective spaces. © 2013 University of Illinois. 56 2 343 352 Ancona, V., Ottaviani, G., Stability of special instanton bundles on P2n+1 (1994) Trans. Amer. Math. Soc., 341, pp. 677-693. , MR 1136544 Brunella, M., Mendes, L.G., Bounding the degree of solutions to Pfaffequations (2000) Publ. Mat., 44, pp. 593-604. , MR 1800822 Campillo, A., Carnicer, M.M., García de la Fuente, J., Invariant curves by vector fields on algebraic varieties (2000) J. London Math. Soc., 62 (2), pp. 56-70. , MR 1771850 Carnicer, M., The Poincaré problem in the non-dicritical case (1994) Ann. of Math., 140 (2), pp. 289-294. , MR 1298714 Cavalier, V., Lehmann, D., On the Poincaré inequality for one-dimensional foliations (2006) Compos. Math., 142, pp. 529-540. , MR 2218909 Cerveau, D., Lins Neto, A., Holomorphic foliations in P2 C having an invariant algebraic curve (1991) Ann. Inst. Fourier (Grenoble), 41, pp. 883-903. , MR 1150571 Cruz, J.D.A.S., Esteves, E., Bounding the regularity of subschemes invariant under Pfaff fields on projective spaces (2011) Comment. Math. Helv., 86, pp. 947-965. , MR 2851873 Esteves, E., Kleiman, S., Bounds on leaves of one-dimensional foliations (2003) Bull. Braz. Mat. Soc. (N.S.), 34, pp. 145-169. , MR 1993042 Fahlaoui, R., Stabilité du fibre tangent des surfaces de del Pezzo (1989) Math. Ann., 283, pp. 171-176. , MR 0973810 Fukuma, Y., On the sectional geometric genus of quasi-polarized varieties I (2004) Comm. Algebra, 32, pp. 1069-1100. , MR 2063799 Garcia, J., Multiplicity of a foliation on projective spaces along an integral curve (1993) Rev. Mat. Univ. Complut. Madrid, 6, pp. 207-217. , MR 1269752 Hwang, J.M., Stability of tangent bundles of low dimensional Fano manifolds with Picard number 1 (1998) Math. Ann., 312, pp. 599-606. , MR 1660263 Jouanolou, J.P., Equations de Pfaff algébriques (1979) Lecture Notes in Mathematics, 708. , Springer, Berlin MR 0537038 Kobayashi, S., Differential geometry of complex vector bundles (1987) Publications of the Mathematical Society of Japan, 15. , Princeton Univ. Press, Princeton, NJ MR 0909698 Kunz, E., Holomorphe Differentialformen auf algebraischen Varietaten mit Singularitaten, I (1975) Manuscripta Math., 25, pp. 91-108. , MR 0384802 Lins Neto, A., Some examples for Poincaré and Painlevé problem (2002) Ann. Sci. École Norm. Sup., 35 (4), pp. 231-266. , MR 1914932 Lipman, J., Dualizing sheaves, differentials and residues on algebraic varieties (1984) Astérisque, 117. , Soc. Math. France MR 0759943 Nadel, A.M., The boundedness of degree of Fano varieties with Picard number one (1991) J. Amer. Math. Soc., 4, pp. 681-692. , MR 1115788 Okonek, O., Schneider, M., Spindler, H., (1980) Vector bundles on complex projective spaces, , Birkhauser, Boston MR 0561910 Painlevé, P., (1974) Sur les intégrales algébrique des équations differentielles du premier ordre and Mémoire sur les équations différentielles du premier ordre, , Oeuvres de Paul Painlevé Tome II, Éditions du Centre National de la Recherche Scientifique, 15, quai Anatole-France, 75700, Paris Pereira, J.V., On the Poincaré problem for foliations of general type (2002) Math. Ann., 323, pp. 217-226. , MR 1913040 Peternell, T., Wisniewski, A., On stability of tangent bundles of Fano manifolds with b2=1 (1995) J. Algebraic Geom., 4, pp. 363-384. , MR 1311356 Poincaré, H., Sur l'integration algébric des équations différentiales du primier ordre et du premier degré I and II (1891) Rend. Circ. Mat. Palermo, 5, pp. 161-191. , 11 (1897), 193-239 Soares, M.G., The Poincaré problem for hypersurfaces invariant by one-dimensional foliations (1997) Invent. Math., 128, pp. 495-500. , MR 1452431 Steffens, A., On the stability of the tangent bundle of Fano manifolds (1996) Math. Ann., 304, pp. 635-643. , MR 1380447 Subramanian, S., Stability of the tangent bundle and existence of a Kähler-Einstein metric (1991) Math. Ann., 291, pp. 573-577. , MR 1135531 Tsuji, H., Stability of tangent bundles of minimal algebraic varieties (1988) Topology, 27, pp. 429-442. , MR 0976585 Zamora, A.G., Foliations in algebraic surfaces having a rational first integral (1997) Publ. Mat., 41, pp. 357-373. , MR 1485488