References
Deligne, P., Mumford, D.: The irreducibility of the space of curves of given genus. Publ. Math. IHES36, 75–110 (1969)
Horikawa, E.: On deformations of holomorphic maps, I. J. Math. Soc. Japan25, 372–396 (1978)
Mumford, D.: Lectures on curves on an algebraic surface. Annals of Math. Studies59, Princeton: 1966, Princeton University Press
Piene, R.: Polar classes of singular varieties. Ann. Sci. Ecole. Norm. Sup. Ser. 4,2, 247–276 (1978)
Saint-Donat, B.: Projective models ofK−3 surfaces. Am. J. Math.96, 602–639 (1974)
Serre, J.P.: Groupes algebriques et corps de classes, Paris: Hermann 1959
Severi, F.: Vorlesungen über algebraische Geometrie. (Ist. ed. Leipzig 1921), reprinted New York: Johnson 1968
Tannenbaum, A.: Families of algebraic curves with nodes. Compositio Math.41, 107–126 (1980)
van der Waerden, B.L.: Zur algebraischen Geometrie XI. Projektive und birationale Äquivalenz und Moduln von ebenen Kurven. Math. Ann.114, 683–699 (1937)
Wahl, J.: Deformations of plane curves with nodes and cusps. Am. J. Math.96, 529–577 (1974)
Zariski, O.: Algebraic surfaces. 2nd suppl. ed. Berlin, Heidelberg, New York: Springer 1971
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Tannenbaum, A. Families of curves with nodes onK−3 surfaces. Math. Ann. 260, 239–253 (1982). https://doi.org/10.1007/BF01457238
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DOI: https://doi.org/10.1007/BF01457238