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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
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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).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1992
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