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THE CLASSIFICATION OF LOG ENRIQUES SURFACES OF RANK 18

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Log Enriques surface is a generalization of K3 and Enriques surface. We will classify all the rational log Enriques surfaces of rank 18by giving concrete models for the realizable types of these surfaces.

Abstract

Log Enriques surface is a generalization of K3 and Enriques surface. We will classify all the rational log Enriques surfaces of rank 18by giving concrete models for the realizable types of these surfaces.

참고문헌 (9)

  1. M. F. Atiyah, "The index of elliptic operators. II", Ann. of Math, 87, pp.531~545 (1968)
  2. M. F. Atiyah, "The index of elliptic operators. III", Ann. of Math, 87, pp.546~604 (1968)
  3. K. Oguiso, "On extremal log Enriques surfaces. II", Tohoku Math. J, 50(3), pp.419~436 (1998)
  4. K. Oguiso, "On the complete classification of extremal log Enriques surfaces", Math. Z, 231(1), pp.23~50 (1999)
  5. T. Shioda, "On singular K3 surfaces, Complex analysis and algebraic geometry", pp.119~136 (1977), Iwanami Shoten
  6. T. Shioda, "On the most algebraic K3 surfaces and the most extremal log Enriques surfaces", Amer. J. Math, 118(6), pp.1277~1297 (1996)
  7. K. Ueno, "A remark on automorphisms of Enriques surfaces", J. Fac. Sci. Univ. Tokyo Sect. I A Math, 23(1), pp.149~165 (1976)
  8. D.-Q. Zhang, "Logarithmic Enriques surfaces", J. Math. Kyoto Univ, 31(2), pp.419~466 (1991)
  9. D.-Q. Zhang, "Logarithmic Enriques surfaces. II", J. Math. Kyoto Univ, 33(2), pp.357~397 (1993)

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