@article{CM_1981__43_3_297_0, author = {Brenton, Lawrence}, title = {On singular complex surfaces with vanishing geometric genus, and pararational singularities}, journal = {Compositio Mathematica}, pages = {297--315}, publisher = {Sijthoff et Noordhoff International Publishers}, volume = {43}, number = {3}, year = {1981}, mrnumber = {632431}, zbl = {0467.32015}, language = {en}, url = {http://archive.numdam.org/item/CM_1981__43_3_297_0/} }
TY - JOUR AU - Brenton, Lawrence TI - On singular complex surfaces with vanishing geometric genus, and pararational singularities JO - Compositio Mathematica PY - 1981 SP - 297 EP - 315 VL - 43 IS - 3 PB - Sijthoff et Noordhoff International Publishers UR - http://archive.numdam.org/item/CM_1981__43_3_297_0/ LA - en ID - CM_1981__43_3_297_0 ER -
%0 Journal Article %A Brenton, Lawrence %T On singular complex surfaces with vanishing geometric genus, and pararational singularities %J Compositio Mathematica %D 1981 %P 297-315 %V 43 %N 3 %I Sijthoff et Noordhoff International Publishers %U http://archive.numdam.org/item/CM_1981__43_3_297_0/ %G en %F CM_1981__43_3_297_0
Brenton, Lawrence. On singular complex surfaces with vanishing geometric genus, and pararational singularities. Compositio Mathematica, Volume 43 (1981) no. 3, pp. 297-315. http://archive.numdam.org/item/CM_1981__43_3_297_0/
[1] Quasirational singularities. Amer. J. Math. 101 (1979) 267-300. | MR | Zbl
:[2] Some numerical criteria for contractability of curves on algebraic surfaces. Amer. J. Math. 84 (1962) 485-496. | MR | Zbl
:[3] On isolated rational singularities of surfaces. Am. J. Math. 88 (1966) 129-136. | MR | Zbl
:[4] On the ubiquity of Gorenstein rings. Math. Z. 82 (1963) 8-28. | MR | Zbl
:[5] The pluricanonical map of a complex surface, Several Complex Variables I, Proc. of the International Math. Conf., College Park, Maryland (1970) 35-87. | MR | Zbl
:[6] Classifications and embeddings of surfaces, Proc. of Symposia in Pure Math. 29, Algebraic Geometry, Azcata, 1974. | MR | Zbl
and :[7] A Riemann-Roch theorem for singular surfaces, notes prepared for the Sonderforschungsbereich Theoretische Math., Univ. Bonn, Bonn, 1975.
:[8] Some algebraicity criteria for singular surfaces. Inv. Math. 41 (1977) 129-147. | MR | Zbl
:[9] Some examples of singular compact analytic surfaces which are homotopy equivalent to the complex projective plane. Topology 16 (1977) 423-433. | MR | Zbl
:[10] On singular complex surfaces with negative canonical bundle, with applications to singular compactifications of C2 and to 3-dimensional rational singularities. Math. Ann. 248 (1980) 117-124. | MR | Zbl
:[11] Local contributions to global deformations of surfaces. Inv. math. 26 (1974) 67-88. | MR | Zbl
and :[12] Fifteen characterizations of rational double points and simple critical points. Enseign. Math. (2) 25 (1979) no. 1-2, 131-163. | MR | Zbl
:[13] On isolated singularities of surfaces which do not affect the condition of adjunction. Proc. Cambridge Philos. Soc. 30 (1933/34) 453-491. | JFM
:[14] Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann. 146 (1962) 331-368. | MR | Zbl
:[15] The Hilbert modular group, resolutions of singularities at the cusps and related problems. Sem. N. Bourbaki (1970/71) Exp. 396. | Numdam | MR | Zbl
:[16] Hilbert modular surfaces. Enseignement Math. (2) 19 (1973) 183-281. | MR | Zbl
:[17] Cohen-Macaulay rings, combinatorics, and simplicial complexes, Proc. 2nd Oklahoma Ring Theory Conf. (March, 1976), Marcel Dekker, New York, 1977, 171-223. | MR | Zbl
:[18] On surfaces of type VII0. Inv. Math. 24 (1974) 269-310. | Zbl
:[19] An example of surfaces with b1 = 1. Global Analysis, a collection of papers dedicated to K. Kodaira, Iwanami Shoten, Tokyo (1973), 83-98.
:[20] On the structure of compact complex analytic surfaces, I-IV. Amer. J. Math. 86 (1964) 751-798; 88 (1966) 682-721; 90 (1968) 55-83 and 1048-1065. | MR | Zbl
:[21] Normal two-dimensional singularities. Annals of Math. Studies no. 71, Princeton Univ. Press, Princeton, 1971. | MR | Zbl
:[22] On rational singularities. Amer. J. Math. 94 (1972) 597-608. | MR | Zbl
:[23] Taut two-dimensional singularities. Math. Ann. 205 (1973) 131-164. | MR | Zbl
:[24] On μ for surface singularities. Proc. Sym. Pure Math. 30 (several complex variables), Amer. Math. Soc., Providence (1977) 45-49. | Zbl
:[25] On minimally elliptic singularities. Amer. J. Math. 99 (1977) 1257-1295. | MR | Zbl
:[26] Singular points of complex hypersurfaces, Annals of Math. Studies no. 61, Princeton Univ. Press, Princeton (1968). | MR | Zbl
:[27] Elliptic singularities of surfaces. Amer. J. Math. 92 (1970) 419-454. | MR | Zbl
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