Motivic Integration
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CREPANT
crepant resolution:
A resolution $\varphi : Y \to X$ is {\em crepant}
if $K_Y = \varphi^*K_X$.
discrepancy divisor:
$K_Y - \varphi^*K_X$ for a proper birational morphism $\varphi : Y
to X$. Divisor of Jacobian determinant.
DIVISOR
canonical divisor:
$K_X$ of a variety $X$.
$K_X$ is a divisor defined by the line bundle $\wedge^n T^*X$
of $n$-forms on $X$, $n = dim X$.
GORENSTEIN
GROTHENDIECK
completion:
Let $A$ be an algebra,
$ F^{-1} \supseteq F^0 \supseteq F^1 \supseteq \cdots $
a filtration.
%(\supseteq is \supset & =)
The completion $R$ of $A$ with respect to the filtration.
MEASURE
measure:
measurable set:
measurable function:
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© Goo Ishikawa