Modul:   MAT770  Oberseminar: Algebraische Geometrie

Arithmetic deformation of line bundles

Talk by Dr. David Urbanik

Speaker invited by: Prof. Dr. Joseph Ayoub

Date: 09.04.24  Time: 13.15 - 14.45  Room: Y27H25

We introduce a new method to study mixed characteristic deformations of line bundles. In particular, given a sufficiently large family of smooth projective varieties defined over a ring of integers, we produce an explicit proper closed locus in the base outside of which all line bundles defined on positive characteristic fibres lift to a line bundle on a characteristic zero fibre. Joint work with Ziquan Yang.