>>788
>VARIETIES OF LOG GENERAL TYPE

LOGの意味調査：
・log terminal if ai > -1 for all i （下記 標準特異点関連）
・log resolution of D (e.g., Hironaka's resolution)
・下記FUJINOより log terminal singularities is divisorial log terminal (dlt, for short) Shokurov
（Hironaka’s desingularization theorem suitably）

https://ja.wikipedia.org/wiki/%E6%A8%99%E6%BA%96%E7%89%B9%E7%95%B0%E7%82%B9
標準特異点
https://en.wikipedia.org/wiki/Canonical_singularity
Canonical singularity
In mathematics, canonical singularities appear as singularities of the canonical model of a projective variety, and terminal singularities are special cases that appear as singularities of minimal models. They were introduced by Reid (1980).
Terminal singularities are important in the minimal model program because smooth minimal models do not always exist, and thus one must allow certain singularities, namely the terminal singularities.
Definition
Then the singularities of Y are called:
terminal if ai > 0 for all i
canonical if ai >= 0 for all i
log terminal if ai > -1 for all i
log canonical if ai >= -1 for all i.
See also: multiplier ideal (algebraic geometry)

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