Reye congruences
HTML articles powered by AMS MathViewer
- by François R. Cossec PDF
- Trans. Amer. Math. Soc. 280 (1983), 737-751 Request permission
Abstract:
This paper studies the congruences of lines which are included in two distinct quadrics of a given generic three-dimensional projective space of quadrics in ${{\mathbf {P}}^3}$.References
-
M. Artin, On Enriques surfaces, Doctoral Thesis, Harvard Univ., 1960.
- M. Artin and D. Mumford, Some elementary examples of unirational varieties which are not rational, Proc. London Math. Soc. (3) 25 (1972), 75–95. MR 321934, DOI 10.1112/plms/s3-25.1.75
- Arnaud Beauville, Variétés de Prym et jacobiennes intermédiaires, Ann. Sci. École Norm. Sup. (4) 10 (1977), no. 3, 309–391 (French). MR 472843 A. Cayley, Collected works, Tome VII, Math. Ann., 1894.
- François R. Cossec, Projective models of Enriques surfaces, Math. Ann. 265 (1983), no. 3, 283–334. MR 721398, DOI 10.1007/BF01456021 G. Fano, Nuove ricerche sulle congruenze di rette del ${3^e}$ ordine, Mem. Acc. Torino 50 (1901), 1-79. —, Superficie ulgebriche di genere zero e bigenere uno e loro casi particolari, Rend. Circ. Mat. Palermo 29 (1910), 98-118.
- Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR 507725 S. Mori, Unpublished notes. T. Reye, Geometrie der Lage, 2nd ed., Leipzig, 1882.
- B. Saint-Donat, Projective models of $K-3$ surfaces, Amer. J. Math. 96 (1974), 602–639. MR 364263, DOI 10.2307/2373709
- A. N. Tjurin, The intersection of quadrics, Uspehi Mat. Nauk 30 (1975), no. 6(186), 51–99 (Russian). MR 0424833
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 280 (1983), 737-751
- MSC: Primary 14J28; Secondary 14C21, 14J10
- DOI: https://doi.org/10.1090/S0002-9947-1983-0716848-4
- MathSciNet review: 716848