7 citations · 13 across the 9 of their papers we have counts for
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math.AG2020
Extending Vector Bundles from Curves
Siddharth Mathur
Given a curve in a (smooth) projective variety , we show that a vector bundle on C can be extended to a (-stable) vector bundle on if $\text{rank}(V) \geq \…
math.AG2020★ 7 cited
Good reduction and cyclic covers
Ariyan Javanpeykar, Daniel Loughran, Siddharth Mathur
We prove finiteness results for sets of varieties over number fields with good reduction outside a given finite set of places using cyclic covers. We obtain a version of the Shafar…
math.AG2020★ 6 cited
Experiments on the Brauer map in High Codimension
Siddharth Mathur
Using twisted and formal-local methods, we prove that every separated algebraic space which is the (open/flat) pushout of affine schemes has enough Azumaya algebras. As a corollary…