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On the geometric genera of projective curves. (English) Zbl 0385.14008


MSC:

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

[1] Castelnuovo, G.: Ricerche generali sopra i sistemi lineari di curve plane. Mem. Accad. Sci. Torino II42 (1891) · JFM 23.0653.01
[2] Castelnuovo, G.: Sui multipli di una serie di gruppi di punti appartemente ad una curva algebrica. Rend. Circ. Mat. Palermo7 (1893) · JFM 25.1035.02
[3] Castelnuovo, G.: Sulle superficie algebriche che ammetono un sistema doppiamente infinito di sezioni piane riducibili. Rend. R. Accad. dei Lincei, s. V., Vol. 3 (1894) · JFM 25.1228.02
[4] Griffiths, P., Harris, J.: Algebraic geometry. New York: Wiley 1978 · Zbl 0408.14001
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[6] Hartshorne, R.: Algebraic geometry. Graduate texts in mathematics. Berlin, Heidelberg, New York: Springer 1977 · Zbl 0367.14001
[7] Kleiman, S., Laksov, D.: Another proof of the existence of special divisors. Acta Math.132, 163-176 (1974) · Zbl 0286.14005
[8] Nagata, M.: On rational surfaces. I. Mem. Coll. Sci., Univ. Kyoto. Ser. A Math.32, 351-370 (1960) · Zbl 0100.16703
[9] Nagata, M.: On rational surfaces. II. Mem. Coll. Sci., Univ. Kyoto. Ser. A Math.33, 271-293 (1960-61)
[10] Noether, M.: Zur Grundlegung der Theorie der algebraischen Raumkurven. J. Reine Angew. Math.93, 271-318 (1882) · JFM 14.0669.03
[11] Severi, F.: Vorlesungen über algebraische Geometrie. 1 st ed., Leipzig 1921, New York: Johnson Reprint 1968 · JFM 48.0687.01
[12] Zariski, O.: Algebraic surfaces. 2nd Suppl. Ed. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0219.14020
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