References
[A & S] Atiyah, M.F., Bott, R.: A Lefschetz fixed point formula for elliptic complexes: II. Ann. of Math.88, 451–491 (1968)
[Ba 1] Barlow, R.: Some new surfaces withp g =0. (To appear in Duke Math. J.)
[Ba 2] Barlow, R.: Rational equivalence of zerocycles for some more surfaces withp g =0 Invent. math.79, 303–308 (1985)
[Be] Beauville, A.: L'application canonique pour les surfaces de type general. Invent. math.55, 121–140 (1979/80)
[B] Bombieri, E.: Cononical models of surfaces of general type. Publ. Math. IHES42, 171–219 (1973)
[C] Catanese, F.: Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications. Invent. math.63, 433–465 (1981)
[Ci] Ciliberto, C.: Canonical surfaces withp g =p a =4,K 2=5,..., 10 Duke Math. Journal48 (No. 1), 121–156 (1981)
[D1] Dolgachev, I.: Algebraic surfaces withp g =q=0, Notes of CIME (1977 Varenna), Liguori Editore, Napoli
[D2] Dolgachev, I.: On Severi's conjecture on rimply connected algebraic surfaces. Soviet Math. Doklady7, 1169–1172 (1966)
[R3] Reid, M.: A simply connected surface withp g =0,K 2=1 due to Rebecca Barlow. Warwick Preprint (1981)
[Se1] Serre, JP.: Linear Representations of Finite Groups, Graduate texts in Math. Vol. 42. Berlin-Heidelberg-New York: Springer 1977
[Se2] Serre, JP.: Le Probleme des groupes de congruence pourSL 2. Annals of Math.92, 489–527 (1970)
[S] Severi, F.: Colloque de Geometrie Algebrique, Liege, (1949) p. 9, George Thome, Leige; Kasson, Paris (1950)
[Sch] Schvartsman, O.V.: Simple connectivity of a factor space of the modular Hilbert group. Funct. Anal. and Applications8, 188–189 (1974)
[V & Z] Van der Geer, G., Zagier, D.: The Hilbert modular group for the field\(Q(\sqrt {13} )\). Invent. math.42, 93–134 (1977)
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Barlow, R. A simply connected surface of general type withp g =0. Invent Math 79, 293–301 (1985). https://doi.org/10.1007/BF01388974
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DOI: https://doi.org/10.1007/BF01388974