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- W1639691830 abstract "Minimal model conjecture for a proper variety $X$ is that if $kappa(X)geq 0$, then $X$ has a minimal model with the abundance and if $kappa =-infty$, then $X$ is birationally equivalent to a variety $Y$ which has a fibration $Y to Z$ with $-K_Y$ relatively ample. In this paper, we prove this conjecture for a $D$-regular divisor on a proper toric variety by means of successive contractions of extremal rays and flips of ambient toric variety. Furthermore, for such a divisor $X$ with $kappa(X)geq 0$ we construct a projective minimal model with the abundance in a different way; by means of puffing up of the polytope, which gives an algorithm of a construction of a minimal model." @default.
- W1639691830 created "2016-06-24" @default.
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- W1639691830 date "1997-05-29" @default.
- W1639691830 modified "2023-09-27" @default.
- W1639691830 title "Minimal model theorem for toric divisors" @default.
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