## 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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