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math.AG2021
An obstruction to lifting to characteristic
Hélène Esnault, Vasudevan Srinivas, Jakob Stix
We introduce a new obstruction to lifting smooth proper varieties in characteristic to characteristic . It is based on Grothendieck's specialization homomorphism and the r…
math.AG2021
Finite presentation of the tame fundamental group
Hélène Esnault, Mark Shusterman, Vasudevan Srinivas
Let be a prime number, and let be an algebraically closed field of characteristic . We show that the tame fundamental group of a smooth affine curve over is a projec…
math.AG2021
Local systems with quasi-unipotent monodromy at infinity are dense
Hélène Esnault, Moritz Kerz
We show that complex local systems with quasi-unipotent monodromy at infinity over a normal complex variety are Zariski dense in their moduli. v2: we waited for feedback and added…