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math.AG2025
Representations of finite subgroups of Cremona groups
Alexander Duncan, Bailey Heath, Christian Urech
The Cremona group of rank n over a field k is the group of birational automorphisms of the n-dimensional projective space over the field k. We study the minimal dimension such that…
math.AG2025
Maximal Representation Dimensions of Algebraic Tori of Fixed Dimension Over Arbitrary Fields
Bailey Heath
We define the representation dimension of an algebraic torus to be the minimal positive integer such that there exists a faithful embedding $T \hookrightarrow \operatorname…