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References
M. Artin, Versal deformations and algebraic stacks. Invent. Math. 27(1974), 165–189.
M. Artin, Algebraic approximation of structures over complete local rings. Publ. Math. I.H.E.S. 36(1969), 23–58.
P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus. Publ. Math. I.H.E.S. 36(1969), 75–110.
J. Dieudonne and A. Grothendieck, Elements de Geometrie Algebrique: EGA III, Etude cohomologique des faisceaux coherents. Publ. Math. I.H.E.S. 11(1961) and 17 (1963); EGA IV, Etude locale des schemas et des morphismes de schemas. Ibid. 20(1964), 24(1965), 28(1966), 32(1967).
B. Harbourne, Moduli of rational surfaces. M.I.T. Ph.D. thesis, 1982.
B. Harbourne, Blowings-up of p2 and their blowings-down. Duke Math. J. 52(1985), 129–148.
R. Hartshorne, Algebraic Geometry. Graduate Texts in Mathematics 49(1977), Berlin-Heidelberg-New York: Springer-Verlag.
S.L. Kleiman, Multiple-point formulas I: iteration. Acta. Math. 147(1981), 13–49.
H. Matsumura, Commutative Algebra. W.A. Benjamin Co., New York (1970).
J.S. Milne, Etale Cohomology. Princeton Mathematical Series 33, Princeton University Press, Princeton, N.J. (1980).
D. Mumford, Picard groups of moduli problems. In: Arithmetic Algebraic Geometry, Harper and Row (1963).
D. Mumford, Geometric Invariant Theory. Ergebnisse 34(1965). Heidelberg: Springer-Verlag, vi+146 pp.
M. Nagata, On rational surfaces II. Mem. Coll. Sci. Kyoto, (A) 33(1960), 271–293.
D.S. Rim, Formal Deformation Theory, in Groupes de monodromie en geometrie algebrique expose 6. Lecture Notes in Mathematics 288(1972). Berlin-Heidelberg-New York: Springer.
J. Roberts and R. Speiser, Enumerative geometry of triangles I, II, III. Comm. in Alg. 12(10)(1984), 1213–1255, 14(1986), 155–191, and to appear.
R. Speiser, Enumerating contacts. Proceedings volume for 1985 AMS Summer Research Inst. in Algebraic Geometry held at Bowdoin College, to appear.
A. Grothendieck, Seminaire Bourbaki: Les Theoremes d'existence en theorie formalle des modules, 195(1960); Les schemas de Hilbert, exp. 221(1960/61); Les schemas de Picard, exp. 232 et 236(1961/62).
C.S. Seshadri, Theory of moduli. (In: Proceedings volume for 1974 Arcata AMS Summer Research Inst. in Algebraic Geometry) Proc. of Symp. in Pure Math. 29(1975), 263–304.
J.M. Wahl, Equisingular deformations of normal surface singularities. Ann. of Math. 104(1976), 325–356.
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Harbourne, B. (1988). Iterated blow-ups and moduli for rational surfaces. In: Algebraic Geometry Sundance 1986. Lecture Notes in Mathematics, vol 1311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082911
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DOI: https://doi.org/10.1007/BFb0082911
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