Normal Projective Varieties of Degree 5

REFERENCES

• Bosma , W. , Cannon , J. , Playoust , C. ( 1997 ). The Magma algebra system. I. The user language . J. Symbolic Comput . 24 ( 3–4 ): 235 – 265 .
   Web of Science ®Google Scholar
• Castelnuovo , G. ( 1939 ). Sulle superfici algebriche le cui sezioni piane sono curve iperellittiche . Memorie Scelte, XII, Bologna, Zanichelli .
   Google Scholar
• Castelnuovo , G. (1939). Sulle superfici algebriche le cui sezioni sono curve di genere 3. Memorie Scelte, XIII, Bologna, Zanichelli .
   Google Scholar
• Fujita , T. ( 1990 ). Classification Theories of Polarized Varieties . London Math. Soc. Lecture Note Ser. Vol. 155 . Cambridge University Press
   Google Scholar
• Halanay , E. ( 1988 ). Normal surfaces of degree 5 in ℙ n . Rev. Roumaine Math. Pures Appl. 33 ( 4 ): 297 – 303 .
   Google Scholar
• Hartshorne , R. ( 1977 ). Algebaic Geometry. Graduate Texts in Mathematics . Vol. 52 , New York : Springer-Verlag .
   Google Scholar
• Ionescu , P. ( 1984 ). Embedded projective varieties of small invariants, I. In: Proc. of the Week of Alg. Geom., Bucharest, Lecture Notes in Math . Vol. 1056, . 142 – 186 Berlin : Springer .
   Google Scholar
• Ionescu , P. ( 1981 ). Variétés projectives lisses de degrés 5 et 6. C. R. Acad. Sci. Paris Sér. I Math. 293 ( 15 ): 685 – 687 .
   Google Scholar
• Kachi , Y. , Kollar , J. ( 2000 ). Characterizations of ℙ n in arbitrary characteristic. Kodaira's issue. Asian J. Math. 4 ( 1 ): 115 – 121 .
   Google Scholar
• Kojima , H. ( 2003 ). A note on Sakai's theorem concerning polarized normal surfaces. Arch. Math. 80 : 239 – 244 .
   Web of Science ®Google Scholar
• Lanteri , A. , Palleschi , M. ( 1981 ). On surfaces of small degree in ℙ4 . Istit. Lombardo Accad. Sci. Lett. Rend. A 113 : 224 – 241 .
   Google Scholar
• Nagata , M. ( 1960 ). On rational surfaces, I. Mem. Coll. Sci. Kyoto (A) 32 : 351 – 370 .
   Google Scholar
• Okonek , C. ( 1983 ). Moduli reflexiver Garben und Flüchen von kleinem Grad in ℙ4. Math. Z. 184 ( 4 ): 549 – 572 .
   Web of Science ®Google Scholar
• Semple , J. G. , Roth , L. ( 1949 ). Introduction to Algebraic Geometry. Oxford : Clarendon Press .
   Google Scholar
• Swinnerton-Dyer , H. P. F. ( 1973 ). An enumeration of all varieties of degree 4. Amer. J. Math. 95 : 403 – 418 .
   Web of Science ®Google Scholar
• Correspondence. Amer. J. Math. 79 : 951 – 952 . ( A. Weil, oeuvres sc., II, 555–556 ).
   Google Scholar
• Communicated by C. Pedrini.
   Google Scholar