Publications (5)
The Essential Skeleton of a product of degenerations
Morgan Brown, Enrica Mazzon
We study the problem of how the dual complex of the special fiber of an snc degeneration $\cX_R$ changes under products. We view the dual complex as a skeleton inside the Berkovich…
On the structure of the complement of skeleton
Morgan Brown, Jiachang Xu, Muyuan Zhang
We study the higher dimensional geometry of Berkovich spaces using virtual open disks, which are given by fibration of relative dimension . Inspired by birational geometry, we c…
The McKay correspondence, tilting equivalences, and rationality
Morgan Brown, Ian Shipman
We consider the problem of comparing t-structures under the derived McKay correspondence and for tilting equivalences. We relate the t-structures using certain natural torsion theo…
A geometric characterisation of toric varieties
Morgan Brown, James McKernan, Roberto Svaldi +1
We prove a conjecture of Shokurov which characterises toric varieties using log pairs.
Rational Connectivity and Analytic Contractibility
Morgan Brown, Tyler Foster
Let k be an algebraically closed field of characteristic 0, and let f be a morphism of smooth projective varieties from X to Y over the ring k((t)) of formal Laurent series. We pro…