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On Petri’s analysis of the linear system of quadrics through a canonical curve. (English) Zbl 0315.14010


MSC:

14H10 Families, moduli of curves (algebraic)
14C20 Divisors, linear systems, invertible sheaves
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References:

[1] Andreotti, A., Mayer, A.: On period relations for abelian integrals on algebraic curves. Annali di Scuola Norm. di Pisa Series 3, Vol.21, 189-238 (1967) · Zbl 0222.14024
[2] Enriques, F.: Sulle curve canoniche di genere p dello Spazio ap-1 dimensioni. Rend. dell’Acc. di Bologna, vol. XXIII pp. 80-82 (1919)
[3] Kempf, G.: On the geometry of a theorem of Riemann. (To appear in Ann. of Math.)
[4] Maroni, A.: Le serie lineari speciali sulle curve trigonali, Ann. di Mat. s. IV, vol.25, 341-354 (1946) · Zbl 0061.35407 · doi:10.1007/BF02418090
[5] Martens, H. H.: On the varieties of special divisors on a curve. Journal f. Math.227, 111 (1967) · Zbl 0172.46301
[6] Mumford, D.: Varieties defined by quadratic equations. C.I.M.E. Varenna, 1969 · Zbl 0169.23301
[7] Mumford, D.: Abelian varieties. Oxford University Press, 1970 · Zbl 0223.14022
[8] Petri, K.: Über die invariante Darstellung algebraischer Funktionen einer Veränderlichen. Math. Ann.88, 242 (1922) · doi:10.1007/BF01579181
[9] Saint-Donat, B.: Projective models ofK-3 surfaces. (To appear in Amer. Journal of Math.)
[10] Saint-Donat, B.: Sur les équations définissant une courbe algébrique. Notes aux Compte-Rendus de l’Acc. des Sciences de Paris, t. 274, pp. 324-327 et pp. 487-489 1972
[11] Serre, J. P.: Groupes algébriques et corps de classes. Publication de l’Université de Nancago. Paris: Hermann 1959
[12] Shokourov, V. V.: The Noether-Enriques theorem on canonical curves. Mat. Sbornik, vol.86, (3) 367 1972
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