Finitude de l'application bicanonique des surfaces de type général
Bulletin de la Société Mathématique de France, Tome 113 (1985), pp. 23-51. 
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     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},
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     year = {1985},
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     url = {https://www.numdam.org/articles/10.24033/bsmf.2019/}
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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. https://www.numdam.org/articles/10.24033/bsmf.2019/

[1] Artin (M.). - Some numerical criteria for contractibility of curves on algebraic surfaces, Amer. J. Math., vol. 84, 1962, p. 485-496. | MR | Zbl

[2] Artin (M.). - On isolated rational singularities of surfaces, Amer. J. Math., vol. 88, 1966, p. 129-136. | MR | Zbl

[3] Beauville (A.). - Surfaces Algébriques Complexes, astérisque 54, S.M.F., 1978. | Numdam | MR | Zbl

[4] Beauville (A.). - L'application canonique pour les surfaces de type général, Inv. Math., vol. 55, 1979, p. 121-140. | EuDML | MR | Zbl

[5] Benveniste (X). - 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] Berniat (P.). - Sur les surfaces de genre P12 > 0, Ann. Math. Pura Appl., (4) vol. 71, 1966. | Zbl

[7] Bombieri (E.). - The pluricanonical map of a complex surface, Springer Lecture Notes, vol. 155, 1970, p. 35-87. | MR | Zbl

[8] Bombieri (E.). - Canonical models of surfaces of general type, Publication I.H.E.S., n° 42, 1973, p. 171-219. | EuDML | Numdam | MR | Zbl

[9] Bombieri (E.). - Superfici irregulari canoniche e pluricanoniche, Symposia Math., vol. XI, 1973, p. 313-322. | MR | Zbl

[10] Bombieri (E.), Catanese (F.). - The tricanonical map of a surface with K2 = 2, pg = 0, in C.P. Ramanujam, a tribute, Springer 1978. | MR | Zbl

[11] Bombieri (E.), Husemoller (D.). - Classification and embeddings of surfaces, in Algebraic Geometry, Arcata, 1974, p. 329-420, A.M.S. Proc. XXIX. | MR | Zbl

[12] Enriques (F.). - Le superficie algebriche, Zanichelli, 1949. | MR | Zbl

[13] Horikawa (E.). - On deformations of quintic surfaces, Inv. Math., vol. 31, 1975, p. 43-85. | Zbl

[14] Horikawa (E.). - 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] Miyaoka (Y.). - Tricanonical maps of numerical Godeaux surfaces, Inv. Math., vol. 34, 1976, p. 99-111. | MR | Zbl

[16] Miyaoka (Y.). - On the Chern numbers of surfaces of general type, Inv. Math. vol. 42, 1977, p. 225-237. | MR | Zbl

[17] Miyaoka (Y.). - On numerical Campedelli surfaces, in Complex Analysis and Algebraic Geometry, a volume dedicated to Kodaira, p. 113-118, Cambridge, 1977. | MR | Zbl

[18] Namikawa (Y.), Ueno (K.). - The complete classification of fibres in pencils of curves of genus two, Manuscripta Math., vol. 9, 1973, p. 143-186. | MR | Zbl

[19] Ogg (A. P.). - On pencils of curves of genus two, Topology, vol. 5, 1966, p. 355-362. | MR | Zbl

[20] Persson (U.). - Double covering and surfaces of general type, Springer Lecture Notes, vol. 687, 1978, p. 168-195. | MR | Zbl

[21] Peters (C. A. M.). - On two types of surfaces of general type with vanishing geometric genus, Inv. Math., vol. 32, 1976, p. 33-47. | MR | Zbl

[22] Peters (C. A. M.). - On certain examples of surfaces with pg = 0 due to Berniat, Nagoya Math. J., vol. 66, 1977, p. 109-119. | MR | Zbl

[23] Ramanujam (C. P.). - Remarks on the Kodaira vanishing theorem, J. of Indian Math. Soc., vol. 36, 1972, p. 41-51. | MR | Zbl

[24] Reid (M.). - 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] Reid (M.). - π1 for surfaces with small c21, Springer Lecture Notes, vol. 732, 1978, p. 534-544. | MR | Zbl

[26] Reid (M.). - Surfaces with pg = 0, K2 = 2, à paraître. | Zbl

  • Shin, YongJoo A characterization of Burniat surfaces with K 2=4 and of non nodal type, Science China Mathematics, Volume 59 (2016) no. 5, p. 839 | DOI:10.1007/s11425-015-5090-5
  • Zhang, Lei Surfaces with pg=q=1 p g = q = 1 , K2=7 K 2 = 7 and non-birational bicanonical maps, Geometriae Dedicata, Volume 177 (2015) no. 1, p. 293 | DOI:10.1007/s10711-014-9990-2
  • ZHANG, TONG ADJOINT LINEAR SYSTEMS ON ALGEBRAIC SURFACES, International Journal of Mathematics, Volume 24 (2013) no. 03, p. 1350019 | DOI:10.1142/s0129167x13500195
  • Bauer, Ingrid; Catanese, Fabrizio; Pignatelli, Roberto Surfaces of general type with geometric genus zero: a survey, Complex and Differential Geometry, Volume 8 (2011), p. 1 | DOI:10.1007/978-3-642-20300-8_1
  • Zhang, Lei Characterization of a class of surfaces with p g = 0 and K 2 = 5 by their bicanonical maps, Manuscripta Mathematica, Volume 135 (2011) no. 1-2, p. 165 | DOI:10.1007/s00229-010-0416-7
  • Fimognari, Rosilde; Oliverio, Paolo A. Surfaces with p g = 2, K 2 = 3 and a pencil of curves of genus 2, Rendiconti del Circolo Matematico di Palermo, Volume 58 (2009) no. 1, p. 133 | DOI:10.1007/s12215-009-0013-3
  • Calabri, Alberto; Lopes, Margarida Mendes; Pardini, Rita Involutions on numerical Campedelli surfaces, Tohoku Mathematical Journal, Volume 60 (2008) no. 1 | DOI:10.2748/tmj/1206734404
  • Borrelli, Giuseppe The classification of surfaces of general type with nonbirational bicanonical map, Journal of Algebraic Geometry, Volume 16 (2007) no. 4, p. 625 | DOI:10.1090/s1056-3911-07-00478-x
  • Bauer, Ingrid C.; Catanese, Fabrizio; Pignatelli, Roberto Complex Surfaces of General Type: Some Recent Progress, Global Aspects of Complex Geometry (2006), p. 1 | DOI:10.1007/3-540-35480-8_1
  • Mendes Lopes, Margarida; Pardini, Rita The degree of the bicanonical map of a surface with 𝑝_𝑔=0, Proceedings of the American Mathematical Society, Volume 135 (2006) no. 5, p. 1279 | DOI:10.1090/s0002-9939-06-08633-3
  • Chen, Meng; Viehweg, Eckart Bicanonical and adjoint linear systems on surfaces of general type, Pacific Journal of Mathematics, Volume 219 (2005) no. 1, p. 83 | DOI:10.2140/pjm.2005.219.83
  • Polizzi, Francesco Surfaces of general type with 𝑝_𝑔=𝑞=1,𝐾²=8 and bicanonical map of degree 2, Transactions of the American Mathematical Society, Volume 358 (2005) no. 2, p. 759 | DOI:10.1090/s0002-9947-05-03673-1
  • Chen, M. On the Q-divisor method and its application, Journal of Pure and Applied Algebra, Volume 191 (2004) no. 1-2, p. 143 | DOI:10.1016/j.jpaa.2004.01.001
  • Mendes Lopes, Margarida; Pardini, Rita Surfaces of general type with p g =0, K 2=6 and non birational bicanonical map, Mathematische Annalen, Volume 329 (2004) no. 3, p. 535 | DOI:10.1007/s00208-004-0524-3
  • Chen, Meng ON CANONICALLY DERIVED FAMILIES OF SURFACES OF GENERAL TYPE OVER CURVES, Communications in Algebra, Volume 29 (2001) no. 10, p. 4597 | DOI:10.1081/agb-100106775
  • Mendes Lopes, Margarida; Pardini, Rita A connected component of the moduli space of surfaces with pg=0, Topology, Volume 40 (2001) no. 5, p. 977 | DOI:10.1016/s0040-9383(00)00004-5
  • LANGER, ADRIAN PLURICANONICAL SYSTEMS ON SURFACES WITH SMALL K2, International Journal of Mathematics, Volume 11 (2000) no. 03, p. 379 | DOI:10.1142/s0129167x00000195

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