## Boundedness of Varieties of General Type

### Lecture 1Christopher Hacon（Kyoto University / Distinguished Visiting Professor, University of Utah / Distinguished Professor）

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

### 講義詳細

2015年度

2015年6月10日 から 6月26日

Christopher Hacon（Kyoto University / Distinguished Visiting Professor, University of Utah / Distinguished Professor）

Room127, Graduate School of Science Bldg No 3, Room 420, Research Institute for Mathematical Sciences