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math.AG2024
The Restricted Picard Functor
Zev Rosengarten
We prove in significant generality the (almost-)representability of the Picard functor when restricted to smooth test schemes. The novelty lies in the fact that we prove such (almo…
math.AG2024
(Non-)Extendability of Abel-Jacobi Maps
Zev Rosengarten
We investigate the "natural" locus of definition of Abel-Jacobi maps. In particular, we show that, for a proper, geometrically reduced curve C -- not necessarily smooth -- the Abel…
math.AG2024
Algebraic Groups with Torsors That Are Versal for All Affine Varieties
Uriya A. First, Mathieu Florence, Zev Rosengarten
Let be a field and let be an affine algebraic group over . Call a -torsor weakly versal for a class of -schemes if it specializes to every -torsor over…