@article{ASENS_2006_4_39_6_1011_0, author = {Catanese, Fabrizio and Pignatelli, Roberto}, title = {Fibrations of low genus, I}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {39}, year = {2006}, pages = {1011-1049}, doi = {10.1016/j.ansens.2006.10.001}, mrnumber = {2316980}, zbl = {05149416}, zbl = {1125.14023}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_2006_4_39_6_1011_0} }
Catanese, Fabrizio; Pignatelli, Roberto. Fibrations of low genus, I. Annales scientifiques de l'École Normale Supérieure, Tome 39 (2006) pp. 1011-1049. doi : 10.1016/j.ansens.2006.10.001. http://gdmltest.u-ga.fr/item/ASENS_2006_4_39_6_1011_0/
[1] On isolated rational singularities of surfaces, Amer. J. Math. 88 (1966) 129-136. | MR 199191 | Zbl 0142.18602
,[2] Vector bundles over an elliptic curve, Proc. Lond. Math. Soc. (3) 7 (1957) 414-452. | MR 131423 | Zbl 0084.17305
,[3] Compact Complex Surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 4, Springer, Berlin, 1984, x+304 pp. | MR 749574 | Zbl 0718.14023
, , ,[4] L’inégalité pour les surfaces de type général, Bull. Soc. Math. France 110 (3) (1982) 344-346. | Numdam | MR 688038 | Zbl 0543.14026
,[5] Canonical models of surfaces of general type, Inst. Hautes Études Sci. Publ. Math. 42 (1973) 171-219. | Numdam | MR 318163 | Zbl 0259.14005
,[6] Bombieri, E., Unpublished manuscript, 1972, pp. 1-51.
[7] On a class of surfaces of general type, in: Proc. CIME Conference ‘Algebraic Surfaces', 1977, Liguori Editore, Napoli, 1981, pp. 269-284.
,[8] Pluricanonical Gorenstein curves, in: Enumerative Geometry and Classical Algebraic Geometry, Nice, 1981, Progr. Math., vol. 24, Birkhäuser Boston, 1982, pp. 51-95. | MR 685764 | Zbl 0518.14017
,[9] Singular bidouble covers and the construction of interesting algebraic surfaces, in: Proceedings of the Warsaw Conference in honour of F. Hirzebruch's 70th Birthday, AMS Contemp. Math., vol. 241, 1999, pp. 97-120. | MR 1718139 | Zbl 0964.14012
,[10] Fibred surfaces, varieties isogenous to a product and related moduli spaces, Amer. J. Math. 122 (1) (2000) 1-44. | MR 1737256 | Zbl 0983.14013
,[11] Surfaces with , in: Problems in the Theory of Surfaces and Their Classification, Cortona, 1988, Sympos. Math., SSSII, Academic Press, London, 1991, pp. 49-79. | MR 1273372 | Zbl 0828.14024
, ,[12] Symmetric products of elliptic curves and surfaces of general type with , J. Algebraic Geom. 2 (3) (1993) 389-411. | MR 1211993 | Zbl 0791.14015
, ,[13] On the classification of irregular surfaces of general type with nonbirational bicanonical map, Trans. Amer. Math. Soc. 350 (1) (1998) 275-308. | MR 1422597 | Zbl 0889.14019
, , ,[14] Divisors of small genus on algebraic surfaces and projective embeddings, in: Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry, Ramat Gan, 1993, Israel Math. Conf. Proc., vol. 9, Bar-Ilan Univ., Ramat Gan, 1996, pp. 109-140. | MR 1360499 | Zbl 0855.14004
, ,[15] Embedding of curves and surfaces, Nagoya Math. J. 154 (1999) 185-220. | MR 1689180 | Zbl 0933.14003
, , , ,[16] On simply connected Godeaux surfaces, in: Complex Analysis and Algebraic Geometry, de Gruyter, Berlin, 2000, pp. 117-153. | MR 1760875 | Zbl 1054.14051
, ,[17] Canonical projection of irregular algebraic surfaces, in: Algebraic Geometry, de Gruyter, Berlin, 2002, pp. 79-116. | MR 1954059 | Zbl 1053.14048
, ,[18] The bicanonical map for surfaces of general type, in: Algebraic Geometry-Santa Cruz 1995, Proc. Sympos. Pure Math., Part 1, vol. 62, Amer. Math. Soc., Providence, RI, 1997, pp. 57-84. | Zbl 0929.14022
,[19] Geometry of formal Kuranishi theory, Adv. Math. 198 (1) (2005) 311-365. | MR 2183257 | Zbl 1092.14004
,[20] Le superficie algebriche, Zanichelli, Bologna, 1949. | MR 31770 | Zbl 0036.37102
,[21] Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields, Compositio Math. 76 (1-2) (1990) 69-85. | Numdam | MR 1078858 | Zbl 0742.14020
, ,[22] Sul sistema aggiunto ad una curva riducibile, Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. (8) 6 (1949) 685-687. | MR 35485 | Zbl 0035.22401
,[23] Sui sistemi pluricanonici di una superficie algebrica, Univ. Roma. Ist. Naz. Alta Mat. Rend. Mat. e Appl. (5) 8 (1949) 423-440. | MR 34060 | Zbl 0039.37603
,[24] Adjoint divisors on algebraic curves, Adv. Math. 186 (2) (2004) 317-333. | MR 2073909 | Zbl 1067.14008
,[25] On Kähler fiber spaces over curves, J. Math. Soc. Japan 30 (4) (1978) 779-794. | MR 513085 | Zbl 0393.14006
,[26] The sheaf of relative canonical forms of a Kähler fiber space over a curve, Proc. Japan Acad. Ser. A Math. Sci. 54 (7) (1978) 183-184. | MR 510945 | Zbl 0412.32029
,[27] Algebraic Geometry, Graduate Texts in Mathematics, vol. 52, Springer, New York, 1977, xvi+496 pp. | MR 463157 | Zbl 0367.14001
,[28] On algebraic surfaces with pencils of curves of genus 2, in: Complex Analysis and Algebraic Geometry, Iwanami Shoten, Tokyo, 1977, pp. 79-90. | MR 453756 | Zbl 0349.14021
,[29] Algebraic surfaces of general type with small . V, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (3) (1981) 745-755. | MR 656051 | Zbl 0505.14028
,[30] On compact analytic surfaces. II, Ann. of Math. (2) 77 (1963) 563-626, On compact analytic surfaces. III, Ann. of Math. (2) 78 (1963) 1-40. | MR 184257 | Zbl 0118.15802
,[31] Clifford index and the slope of fibered surfaces, J. Algebraic Geom. 8 (2) (1999) 207-220. | MR 1675150 | Zbl 0979.14004
,[32] 1-2-3 theorem for curves on algebraic surfaces, J. reine angew. Math. 533 (2001) 171-205. | MR 1823868 | Zbl 0965.14004
,[33] Mendes Lopes, M., The relative canonical algebra for genus three fibrations, PhD thesis, University of Warwick, 1989.
[34] Tata Lectures on Theta I, Progr. in Math., vol. 28, Birkhäuser Boston, 1983, xiii+235 pp. | MR 688651 | Zbl 0509.14049
,[35] On pencils of curves of genus two, Topology 5 (1966) 355-362. | MR 201437 | Zbl 0145.17802
,[36] Remarks on the Kodaira vanishing theorem, J. Indian Math. Soc. (N.S.) 36 (1972) 41-51, Supplement, J. Indian Math. Soc. (N.S.) 38 (1, 2, 3, 4) (1974) 121-124, (1975). | MR 330164 | Zbl 0276.32018
,[37] Surfaces with , , J. Fac. Sci. Univ. Tokyo Sect. IA Math. 25 (1) (1978) 75-92. | MR 494596 | Zbl 0399.14025
,[38] Reid M., Problems on pencils of small genus, Manuscript, 1990.
[39] Lectures on minimal models and birational transformations of two dimensional schemes, in: Notes by C.P. Ramanujam, Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. 37, Tata Institute of Fundamental Research, Bombay, 1966, iv+175 pp. | MR 217068 | Zbl 0164.51704
,[40] Surfaces fibrées en courbes de genre deux, in: Lecture Notes in Mathematics, vol. 1137, Springer, Berlin, 1985, x+103 pp. | MR 872271 | Zbl 0579.14028
,[41] Fibered algebraic surfaces with low slope, Math. Ann. 276 (3) (1987) 449-466. | MR 875340 | Zbl 0596.14028
,[42] A note on a theorem of Horikawa, Rev. Mat. Univ. Comput. Madrid 10 (2) (1997) 277-295. | MR 1605654 | Zbl 0896.14018
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