8040 Groups of Curves and Points on Surfaces. Genus 8040 



Groups of points in involution marked on 



surface. Le Paige, C. M. M. H. H. C. B. 



99 (1884) 537-. 

 plane, and effect in determining 



curves. Macaulay, F. S. L. Mth. S. P. 29 



(1898) 673-. 



. on surface, impossibility of some 

 series. Picard, E. C. E. 126 (1898) 1383-. 



straight lines on surfaces of higher 

 degree. A/olter, F. G. Mth. A. 27 (1886) 

 277-; 29 (1887) 1-. 



Homaloidal surfaces containing groups of 



conies. Montesano, D. Mil. I. Lomb. Ed. 



24 (1891) 889-. 

 , 4th and 5th degrees, with no multiple 



lines. Montesano, D. Nap. Ed. 39 (1900) 158-. 

 Hyperelliptic curves, surfaces containing net 



of. Castelnuovo, G. Em. E. Ac. Line. Ed. 



3 (1894) (Sem. 1) 473-. 



surfaces, curves on. Humbert, G. Liouv. 

 J. Mth. 9 (1893) 29-, 361-. 



Intersection of 3 surfaces in a singular point. 



Guccia, G. B. Em. E. Ac. Line. Ed. 5 



(1889) (Sem. 1) 456-. 

 Intersections of 3 surfaces. Berzolari, L. A. 



Mt. 24 (1896) 165-. 

 Invariant number in theory of surfaces. Picard, 



E. C. E. 116 (1893) 285-. 



numbers in theory of surfaces. Picard, E. 

 C. E. 119 (1894) 1169- ; 122 (1896) 101-. 



Involution, generalised. Cayley, A. Camb. 

 and Dubl. Mth. J. 2 (1847) 52-. 



of higher dimensions. Vanecek, J. S., & 

 Vanecek, M. N. C. E. 99 (1884) 742-, 856-, 

 909-. 



and rational homography, theory. Deruyts, 



F. Liege S. Sc. Mm. 17 (1892) No. 3, 2UH pp. 

 Involutions, plane. Chizzoni, F. Em. E. Ac. 



Line. Mm. 19 (1884) 301-. 



, , rationality. Castelnuovo, G. Em. E. 

 Ac. Line. Ed. 2 (1893) (Sem. 2) 205- ; Mth. 

 A. 44 (1894) 125-. 



Involutory transformations, groups. Monte- 

 sano, D. Yen. I. At. (1887-88) 1425-. 



Linear genus of surface and classification to 

 which it leads. Castelnuovo, G. Em. E. 

 Ac. Line. Ed. 6 (1897) (Sem. 1) 372-, 406-. 



systems of curves on surface. Castelnuovo, 



G. Em. S. It. Mm. 10 (1896) 82-; A. Mt. 

 25 (1897) 235-. 



lines on surface. Picard, E. Palermo 



Cir. Mt. Ed. 13 (1899) 344-. 

 Moduli of class of surfaces, number. Noether, 



M. Berl. Ak. Sb. (1888) 123-. 

 Multiple curves and developables of certain 



surface. Lazzeri, G. Yen. I. At. (1887-88) 



171-. 

 of surfaces. Ndther, M. [1871] A. Mt. 



5 (1871-73) 163-. 

 Eational curves, surfaces with systems. Nother, 



M. [1870] Mth. A. 3 (1871) 161-. 

 Eeciprocal of surface, degree. Salmon, G. 



[1847-55] Camb. and Dubl. Mth. J. 2 



(1847) 65-; Ir. Ac. T. 23 (1859) 461-. 



surfaces. Cayley, A. Ir. Ac. P. 7 (1858) 

 20-; Phil. Trans. 159 (1869) 201- ; 162 

 (1872) 83-. 



Eeciprocal surfaces. Zeuthen, H. G. Mth. A. 



4 (1871) 633-. 

 Eiemann-Eoch theorem extended to surfaces. 



Noether, M. C. E. 103 (1886) 734-. 

 Euled surfaces, double curve on. Wiman, A. 



Acta Mth. 19 (1895) 63-. 

 of any genus. Segre, C. Tor. Ac. Sc. 



At. 22 (1886-87) 362-. 



with rational double curves. Weyr, E. J. 

 [1881] Wien Ak. Sb. 84 (1882) (Ab. 2) 691-. 



, 4th degree, curves on. Williams, F. B. 



[1900] Am. Ac. P. 36 (1901) 17-. 

 , 5th degree. Schwarz, H. A. [1866] 



Crelle J. 67 (1867) 23-. 

 Singular lines of surfaces, generic points. Levi, 



B. A. Mt. 2 (1899) 127-. 



points. Guccia, G. B. C. E. 105 (1887) 

 741-. 



. Del Pezzo, P. Palermo Cir. Mt. Ed. 



6 (1892) 139-. 



, decomposition. Segre, C. Tor. Ac. Sc. 



At. 32 (1896) 521- or 781- ; 33 (1897) 19-; 

 A. Mt. 25 (1897) 1-. 



, (Segre). Del Pezzo, P. Nap. Ac. 



Pont. At. 27 (1897) No. 4. 13 pp., No. 10, 7 pp. 



, resolution. Levi, B. Tor. Ac. Sc. At. 



33 (1897) 56- or 66-. 



Singularities, reduction by birational trans- 

 formations of space. Pannelli, M. A. Mt. 

 25 (1897) 67-. 



Skew curve, 4th degree, automorphic trans- 

 formation, and correlation with developable 

 of osculating planes. Del Re, A. Tor. Ac. 

 Sc. At. 22 (1886-87) 901-. 



, , correlations changing into de- 

 velopable of bitangent planes. Del Re, A. 

 Nap. Ed. 26 (1887) 167-. 



, , developable quartics and sextics 



occurring in automorphic transformation of. 

 Del Re, A. Nap. Ed. 27 (1888) 37-. 



curves on hyperboloid of one sheet. 

 Cremona, L. C. E. 52 (1861) 1319-. 



. Chasles, M. C. E. 53 



(1861) 1077-, 1203-. 

 surface of 3rd degree. Clebsch, R. 



F. A. C. E. 62 (1866) 1114-. 

 _ surfaces. Jonquieres, E. de. [1862] 



(vm) A. Mt. 5 (1863) 24-. 

 of 3rd and 4th degrees. Rohn, K. 



Leip. Mth. Ps. B. 46 (1894) 84-; 49 (1897) 



631-. 



surfaces of given degree, maximum genus. 

 Bobek, K. Wien Ak. Sb. 96 (1888) (Ab. 2) 

 1024-. 



, 2nd degree, homographic systems of 



points on. Towmend, R. [1867] QJ. Mth. 



9 (1868) 249-, 296-. 

 Surface, 3rd degree, representation on plane. 



Dunumt, F. N. A. Mth. 15 (1896) 318-. 

 , 6th degree, genus - 1. Noether, M. Mth. 



A. 21 (1883) 399-. 

 , 8th degree, genus 0. Systems of straight 



lines passing through given straight line. 



Aschieri, F. G. Mt. 12 (1874) 129-. 

 > (n-4)th degree, passing through double 



curve of surface, constancy of number of 



coefficients. Clebsch, R. F. A. C. E. 67 



(1868) 1238-. 



567 



