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math.AG2024
Duality of differential operators and algebraic de Rham cohomology
Caleb Ji, Casimir Kothari, Oliver Li +3
Given a smooth proper morphism , we introduce a certain derived category where morphisms are permitted to be -linear differential operators.…
math.NT2024
Convolution monodromy groups and the Shafarevich conjecture for hypersurfaces in tori
Caleb Ji
The Shafarevich conjecture for a class of varieties over a number field posits the finitude of those with good reduction outside a finite set of primes. In the case of hypersurface…
math.AG2024
Effectivity for bounds on points of good reduction in the moduli space of hypersurfaces
Caleb Ji
Let be a finite set of primes. For sufficiently large and , Lawrence and Venkatesh proved that in the moduli space of hypersurfaces of degree in , the…