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Abstract des Vortrages von Andreas Hochenegger

Maps between Mori Dream spaces

Maps between toric varieties can be lifted to maps between their Cox rings, if one is allowed to modify the Cox ring of the domain a bit. This was shown by Gavin Brown and Jaroslaw Buczynski. In a work in progress with Elena Martinengo, we argue that their ideas become more natural when considering quotient stacks. We also extend
this lifting to maps between Mori Dream spaces. In my talk, I present these ideas and further directions.