8090 



Systems of Curves 



8090 



Linear system of any genus, number of de- 

 generate curves in. Jung, G. Mil. I. Lomb. 

 Ed. 21 (1888) 723-. 



plane curves. Martinetti, V. Palermo 



Cir. Mt. Ed. 1 (1887) 202-. 



systems. Jung, G. [1887] A. Mt. 15 (1887- 

 88) 277-. 



. Scott, (Miss) C. A. N. Arch. Wisk. 3 



(1898) 243-. 

 belonging to algebraic surface, maximum 



dimension. Enriques, F. Tor. Ac. Sc. At. 



29 (1894) 275-. 

 of curves of maximum genus with variable 



collinear intersections. Amodeo, F. Nap. 



Ed. 35 (1896) 80-. 

 elliptic curves, reduction, and general 



theorem on curves of genus p. Guccia, G. B. 



Palermo Cir. Mt. Ed. 1 (1887) 169-. 

 plane curves. Guccia, G. B. Palermo 



Cir. Mt. Ed. 7 (1893) 193- ; 9 (1895) 1-. 



. Ciani,E. G. Mt. 33 (1895) 57-. 



. Castelnuovo, G. Em. S. It. 



Mm. 10 (1896) 222-. 

 , fundamental curves in. Bertini, 



E. Palermo Cir. Mt. Ed. 3 (1889) 5-. 



, genus 1. Martinetti, V. 

 Mil. I. Lomb. Ed. 20 (1887) 264-, [854]. 



, 2. Martinetti, V. Palermo 



Cir. Mt. Ed. 1 (1887) 205-. 

 , , reduction. Franchis, M. 



de. Palermo Cir. Mt. Ed. 13 (1899) 1-. 

 , p. Segre, C. Palermo Cir. 



Mt. Ed. 1 (1887) 217-. 

 , . Guccia, G. B. Palermo 



Cir. Mt. Ed. 1 (1887) 386-. 

 , maximum degree. Jung, G. 



A. Mt. 18 (1890) 129-. 

 , dimension. Castelnuovo, G. 



A. Mt. 18 (1890) 119-. 

 , and surfaces uniformly repre- 



sentable on plane. Jung, G. Palermo Cir. 



Mt. Ed. 4 (1890) 253-. 

 , reduction to minimum order. Jung, G. 



Mil. I. Lomb. Ed. 21 (1888) 488-; A. Mt. 16 



(1888-89) 291-. 



, (Jung). Guccia, G. B. 

 Palermo Cir. Mt. Ed. 3 (1889) 233-. 



on surface. Picard, E. Palermo Cir. 



Mt. Ed. 13 (1899) 344-. 

 , QO k , of curves of ?ith degree and genus p. 



Guccia, G. B. Palermo Cir. Mt. Ed. 1 (1887) 



139-. 

 , , plane curves, genus 3, reduction 



for k>l. Franchis, M. de. Palermo Cir. 



Mt. Ed. 13 (1899) 130-. 

 Linearity of systems belonging to algebraic 



surface. Enriques, F. Em. E. Ac. Line. 



Ed. 2 (1893) (Sem. 2) 3-. 

 Loci, geometric, for systems. Ekama, H. 



Arch. Mth. Ps. 12 (1894) 23-. 

 Locus of contact-points, order k, of curve of 



pencil, with those of cc k linear system. 



Franchis, M. de. Palermo Cir. Mt. Ed. 10 



(1896) 118- ; 11 (1897) 12-. 

 points of 3-point contact of curve pencil 



with curve net. Bagnera, G. Palermo Cir. 



Mt. Ed. 10 (1896) 81-. 



"Moires" (systems of curves formed by inter- 

 sections of 2 systems of lines on surfaces). 

 Anon, (vi 562) Gergonne A. Mth. 19 (1828- 

 29) 371-. 



Net of curves, contact of curve with. Spottis- 

 woode, W. C. E. 83 (1876) 627-. 



of 4th degree. Sardi, C. G. Mt. 6 



(1868) 217-. 



?ith degree, involutory correspon- 

 dences in plane determined by. Steinmetz, 

 C. P. Am. J. Mth. 14 (1892) 39-. 



Nets of curves cutting given curve at given 

 angle. Fouret, G. C. E. 83 (1876) 633-. 



of 3rd degree. Reye, T. Z. Mth. Ps. 



13 (1868) 521-. 



4th degree. Kttpper, C. Prag Ab. 



1 (1886) No. 7, 25 pp. ; 3 (1890) No. 5, 11 pp. 



generated by homographic relations. 



Boguslavskil, A. I. [1881] (xn) Eec. Mth. 

 (Moscou) 11 (1883-84) 313-. 



, geometry. Moore, E. H. (jun.) Am. J. 

 Mth. 10 (1888) 243-. 



of plane curves. Castelnuovo, G. Tor. Ac. 

 Sc. Mm. 42 (1892) 3-. 



. Scheffers, G. Leip. Mth. Ps. B. 



50 (1898) (Mth.) 261-. 



, genus 2, redundant. Franchis, 



M. de. Palermo Cir. Mt. Ed. 13 (1899) 

 200-. 



, singular. Laguerre, E. [1873] 



(x) Par. S. Mth. Bll. 6 (1878) 129-. 



, principle of theory. Folie, F. Brux. Ac. 

 Bll. 46 (1878) 193-. 



Noether's fundamental theorem (F=K<f> + M\f/). 

 Baker, H. J. Mth. A. 42 (1893) 601-. 



( = ). Scott, (Miss) C. A. Mth. 



A. 52 (1899) 593-. 



Pencil of curves of 3rd degree, relation deter- 

 mined by. Alekseev, V. G. [1891] Eec. Mth. 

 (Moscou) 16 (1893) 256-. 



, differential equation. Casorati, F. Mil. I. 

 Lomb. Ed. 10 (1877) 422-. 



, locus of points of inflexion. Bobek, K. 

 Casopis 11 (*1882) 283-; Fschr. Mth. (*1882) 

 580. 



of plane curves, tangential, locus of foci. 

 Humbert, G. C. E. 105 (1887) 54-. 



rational curves, surfaces containing. 

 Enriques, F. Em. E. Ac. Line. Ed. 7 (1898) 

 (Sem. 2) 281-, 344-; Mth. A. 52 (1899) 449- 



Pencils. Woepcke, F. Liouv. J. Mth. 4 (1859) 

 329-. 



of curves determining involution on any 

 straight line. Scheffers, G. Leip. Mth. Ps. 



B. 44 (1892) 269-. 



, mutually tangential. Bischoff, J. N. 



Crelle J. 64 (1865) 185-. 

 , projective. Gruss, G. Prag Sb. 



(1879) 287-. 

 , , degree of curve generated by 2. 



Olivier, A. [1869] Crelle J. 71 (1870) 



195-. 

 , simple or double contact in. Berzo- 



lari, L. Tor. Ac. Sc. At. 31 (1895) 332- or 



476-. 

 of 3rd degree. Caporali, E. Em. E. 



Ac. Line. T. 1 (1877) 236. 



584 



