In this paper Fano 3-folds of the principal series and first species are classified.
KeywordsNumber Theory Algebraic Geometry Topological Group Principal Series
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- [E]R. Elkik, Rationalite des singularities canonique, Invent. Math., 64 (1981), 1–6Google Scholar
- [I1]V.A. Iskovskih, Fano 3-folds I, Math. USSR-Izv., 11 (1977), 485–527Google Scholar
- [I2]—, Fano 3-folds II, Math. USSR-Izv., 12 (1978), 469–506Google Scholar
- [M1]S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math., (2) 116 (1982), 133–176Google Scholar
- [M2]-, Lectures on Fano threefolds, Columbia University, Fall 1986Google Scholar
- [M-M]S. Mori and S. Mukai, Classification of Fano 3-folds with B2≥2, Manuscripta Math. 36, (1981), 149–162Google Scholar
- [M-U]S. Mukai and H. Umemura, Minimal rational threefolds, Algebraic Geometry, Proceedings, Tokyo/Kyoto 1982, Lecture Notes in Math. 1016, Springer-Verlag, Heidelberg (1983), 490–518Google Scholar
- [Mu]J.P. Murre, Classification of Fano threefolds according to Fano and Iskovskih, Algebraic Threefolds, Lecture Notes in Math. 947, Springer-Verlag, Heidelberg (1982), 35–92Google Scholar
- [R1]M. Reid, Canonical 3-folds, in Journees de Geometrie algebrique d'Angers, ed. A. Beauville, Sijthoff and Noordhoff, Alphen, (1980), 273–310Google Scholar
- [R2]—, Minimal models of canonical 3-folds, in Advanced Studies in Pure Mathematics 1, Algebraic and Analytic Varieties, Kinokuniya, Tokyo (1983),131–180Google Scholar
- [SB]N. Shepherd-Barron, Some questions on singularities in 2 and 3 dimensions, Warwick Thesis, 1980Google Scholar
- [SD]B. Saint-Donat, Projective models of K3 surfaces, Amer. J. Math. 96 (1974), 602–639Google Scholar
- [S]V.V. Sokurov, The existence of lines on Fano threefolds, Math. USSR-Izv., 15 (1980), 173–209Google Scholar
© Springer-Verlag 1989