On motivic integration and some of its applications
|Keywords:||弧空間;motivic integration||Issue Date:||2006||Abstract:||null
In this report, we discuss the topic of arc space and motivic inte-gration
, including some important properties such as the formula of
changing variable. With this formula we review Kontsevich’s theorem
which states that the Hodge number of crepant resolution is indepen-dent
of resolution. Besides, we also review Mustat¸ˇ a’s work that using
the knowledge of arc space and motivic integration to give a differ-ent
view toward log canonical threshold. At last, Batyrev’s work of
proving McKay correspondence is discussed.
|Appears in Collections:||數學系|
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