CORDIS Project
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This project focuses on the study of moduli stacks of varieties in positive characteristic, particularly for surfaces. It aims to explore the properties of these stacks and investigate the reasons for their failure to meet certain mathematical criteria.
The main objective of this project is to study the moduli stack of varieties of general type with a fixed Hilbert polynomial defined over a field of positive characteristic.
In characteristic zero it is known that it is a separated Deligne-Mumford stack locally of finite type.
Moreover, the extended moduli stack of stable varieties is also proper. I would like to investigate to what extend the same properties hold in positive characteristic, if some property fails what is the reason and how the…
UNIVERSITY OF CYPRUS
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