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Back to Algebraic Geometry Seminar: Fall 2020

Algebraic Geometry Seminar


Date: Tuesday, Nov 3, 2020

Time: 3:30PM - 4:30PM

Location: Zoom


Yen-An Chen

University of Utah

Title

Generalized Canonical Models of Foliated Surfaces

Abstract

By work of McQuillan and Brunella, it is known that foliated surfaces of general type with only canonical foliation singularities admit a unique canonical model. It is then natural to investigate the moduli space parametrizing canonical models. One issue is that the condition being a canonical model is neither open nor closed. In this talk, I will introduce the generalized canonical models to fix this issue and study some properties (boundedness/separatedness/properness/local-closedness) of the moduli space of generalized canonical models.

Algebraic Geometry

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