Boundedness of Varieties of General Type

Lecture 1 Christopher HACON

Course Description

Varieties of general type are the higher dimensional analog of Riemann surfaces of genus \(g \geq 2\). If \(X \subset \mathbb{ P }^N_C\) is a variety of general type then, by definition, the sections of \( H^0(\omega^{\otimes m}_X) \) determine a birational map for all sufficiently big integers \( m \gt 0\).

In these lectures we will explain recent results on the boundedness of varieties of general type that ultimately lead to the construction of a corresponding moduli space (more precisely to the construction of the KSBA proper functor of log canonically polarized log canonical pairs).

Details

Year/Term
2015 / Intensive, First semester
Date
June 10th to June 26th, 2015
Faculty/
Graduate School
Graduate School of Science
Language
English
Instructor name
Christopher HACON(Distinguished Visiting Professor, Kyoto University / Distinguished Professor, University of Utah)
Place
Room 127, Graduate School of Science Bldg No 3; Room 420, Research Institute for Mathematical Sciences
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