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Mukai-Umemura’s example of the Fano threefold with genus 12 as a compactification of C3

Published online by Cambridge University Press:  22 January 2016

Mikio Furushima
Mikio Furushima*
Affiliation:
Department of Mathematics, College of Education, Ryukyu University, Nishihara-cho, Okinawa 903-01, Japan
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Let (X, Y) be a smooth projective compactification with the non-normal irreducible boundary Y, namely, X is a smooth projective algebraic threefold and Y a non-normal irreducible divisor on X such that X – Y is isomorphic to C3. Then Y is ample and the canonical divisor Kx on X can be written as Kx = - r Y (1 ≦ r ≦ 4).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 127 , September 1992 , pp. 145 - 165
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1992

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