Li Yi

Li Yi

I am a 3rd year PhD student majoring in birational geometry

Birational Geometry Note: Boundedness of Varieties of General Type

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The aim of this series of notes is to summarize the bounded results for the varieties of general type.

Part I. Birational boundedness for smooth projective varieties of general type

Note-1: Effective Birational of Kodaira map for smooth projective variety of General Type,

Part II. ACC Phenonmenon and Behavior of volumes

Note-1: Hacon-Mckernan-Xu’s log invariance of plurigenera

Note-1: ACC of log canonical threshold

Note-2: DCC of volume

Note-3: Boundedness and pseudo-effective threshold,

Part III. Abundance in Families

Note-1: On log canonical closure

Note-2: Abundance in Family

Part IV. Log birational boundedness and log boundedness for varieties of general type

Note-1: Boundedness of log canonical models

Note-2: Boundedness of semi-log canonical models

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