@article{BSMF_1985__113__23_0, author = {Xiao, Gang}, title = {Finitude de l'application bicanonique des surfaces de type g\'en\'eral}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {23--51}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {113}, year = {1985}, doi = {10.24033/bsmf.2019}, mrnumber = {87a:14035}, zbl = {0611.14031}, language = {fr}, url = {http://www.numdam.org/articles/10.24033/bsmf.2019/} }
TY - JOUR AU - Xiao, Gang TI - Finitude de l'application bicanonique des surfaces de type général JO - Bulletin de la Société Mathématique de France PY - 1985 SP - 23 EP - 51 VL - 113 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2019/ DO - 10.24033/bsmf.2019 LA - fr ID - BSMF_1985__113__23_0 ER -
%0 Journal Article %A Xiao, Gang %T Finitude de l'application bicanonique des surfaces de type général %J Bulletin de la Société Mathématique de France %D 1985 %P 23-51 %V 113 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2019/ %R 10.24033/bsmf.2019 %G fr %F BSMF_1985__113__23_0
Xiao, Gang. Finitude de l'application bicanonique des surfaces de type général. Bulletin de la Société Mathématique de France, Tome 113 (1985), pp. 23-51. doi : 10.24033/bsmf.2019. http://www.numdam.org/articles/10.24033/bsmf.2019/
[1] Some numerical criteria for contractibility of curves on algebraic surfaces, Amer. J. Math., vol. 84, 1962, p. 485-496. | MR | Zbl
. -[2] On isolated rational singularities of surfaces, Amer. J. Math., vol. 88, 1966, p. 129-136. | MR | Zbl
. -[3] Surfaces Algébriques Complexes, astérisque 54, S.M.F., 1978. | Numdam | MR | Zbl
. -[4] L'application canonique pour les surfaces de type général, Inv. Math., vol. 55, 1979, p. 121-140. | EuDML | MR | Zbl
. -[5] L'application rationnelle tricanonique des surfaces de type général avec K2 = 2, pg = 0, q = 0, C.R. Acad. Sc. Paris, vol. 286, Série A, 1978, p. 219-221. | MR | Zbl
. -[6] Sur les surfaces de genre P12 > 0, Ann. Math. Pura Appl., (4) vol. 71, 1966. | Zbl
. -[7] The pluricanonical map of a complex surface, Springer Lecture Notes, vol. 155, 1970, p. 35-87. | MR | Zbl
. -[8] Canonical models of surfaces of general type, Publication I.H.E.S., n° 42, 1973, p. 171-219. | EuDML | Numdam | MR | Zbl
. -[9] Superfici irregulari canoniche e pluricanoniche, Symposia Math., vol. XI, 1973, p. 313-322. | MR | Zbl
. -[10] The tricanonical map of a surface with K2 = 2, pg = 0, in C.P. Ramanujam, a tribute, Springer 1978. | MR | Zbl
, . -[11] Classification and embeddings of surfaces, in Algebraic Geometry, Arcata, 1974, p. 329-420, A.M.S. Proc. XXIX. | MR | Zbl
, . -[12] Le superficie algebriche, Zanichelli, 1949. | MR | Zbl
. -[13] On deformations of quintic surfaces, Inv. Math., vol. 31, 1975, p. 43-85. | Zbl
. -[14] On algebraic surfaces with pencils of curves of genus 2, in Complex Analysis and Algebraic Geometry, a volume dedicated to Kodaira, p. 79-90, Cambridge, 1977. | MR | Zbl
. -[15] Tricanonical maps of numerical Godeaux surfaces, Inv. Math., vol. 34, 1976, p. 99-111. | MR | Zbl
. -[16] On the Chern numbers of surfaces of general type, Inv. Math. vol. 42, 1977, p. 225-237. | MR | Zbl
. -[17] On numerical Campedelli surfaces, in Complex Analysis and Algebraic Geometry, a volume dedicated to Kodaira, p. 113-118, Cambridge, 1977. | MR | Zbl
. -[18] The complete classification of fibres in pencils of curves of genus two, Manuscripta Math., vol. 9, 1973, p. 143-186. | MR | Zbl
, . -[19] On pencils of curves of genus two, Topology, vol. 5, 1966, p. 355-362. | MR | Zbl
. -[20] Double covering and surfaces of general type, Springer Lecture Notes, vol. 687, 1978, p. 168-195. | MR | Zbl
. -[21] On two types of surfaces of general type with vanishing geometric genus, Inv. Math., vol. 32, 1976, p. 33-47. | MR | Zbl
. -[22] On certain examples of surfaces with pg = 0 due to Berniat, Nagoya Math. J., vol. 66, 1977, p. 109-119. | MR | Zbl
. -[23] Remarks on the Kodaira vanishing theorem, J. of Indian Math. Soc., vol. 36, 1972, p. 41-51. | MR | Zbl
. -[24] Surfaces with pg = 0, K2 = 1, J. Fac. Sci. Univ. Tokyo Sect. I.A. Math., vol. 25, n° 1, 1978, p. 75-92. | MR | Zbl
. -[25] π1 for surfaces with small c21, Springer Lecture Notes, vol. 732, 1978, p. 534-544. | MR | Zbl
. -[26] Surfaces with pg = 0, K2 = 2, à paraître. | Zbl
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