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Canonical curves and quadrics of rank 4. (English) Zbl 0494.14011


MSC:

14H15 Families, moduli of curves (analytic)
14H45 Special algebraic curves and curves of low genus
30F30 Differentials on Riemann surfaces
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References:

[1] A. Andreotti and A. Mayer : On Period Relations for Abelian Integrals on Algebraic curves . Ann. Scuola Norm. Sup. Pisa 21 (1967) 189-238. · Zbl 0222.14024
[2] G. Castelnuovo , Sulle Superficie Algebriche le cui sezioni piane sono curve iperellittiche . Rend. Palermo IV (1890) 189-202. · JFM 22.0788.01
[3] J.A. Eagon and M. Hochster : Cohen-Macaulay Rings, invariant theory, and the generic perfection of Determinantal loci , Amer. Jour. of Math. 93 (1971) p. 1020-1058. · Zbl 0244.13012 · doi:10.2307/2373744
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[5] J. Harris : The geometric genus of projective varieties . Ann. Scu. Norm Pisa, (to appear). · Zbl 0467.14005
[6] G. Kempf : On the geometry of a Theorem of Riemann . Ann. of Math. 98 (1973) 178-185. · Zbl 0275.14023 · doi:10.2307/1970910
[7] S. Kleiman , and D. Laksov : Another proof of the Existence of Special divisors . Acta Math 132 (1974) 163-176. · Zbl 0286.14005 · doi:10.1007/BF02392112
[8] K. Petri : Uber die Invariante Darstellung Algebraischer Funktionen einer Veranderlichen . Math. Ann. 88 (1922) 242-289. · JFM 49.0264.02
[9] B. Saint-Donat : Projective models of K-3 surfaces . Amer. Journ. Math. 96 (1974) 602-639. · Zbl 0301.14011 · doi:10.2307/2373709
[10] B. Saint-Donat : On Petri’s analysis of the linear system of quadrics through a canonical curve . Math. Ann. 206 (1973) 157-175. · Zbl 0315.14010 · doi:10.1007/BF01430982
[11] Semple And Roth : Introduction to Algebraic Geometry , Oxford, 1949. · Zbl 0041.27903
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