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math.AG2023
On a conjecture of Beelen, Datta and Ghorpade for the number of points of varieties over finite fields
Deepesh Singhal, Yuxin Lin
Consider a finite field and positive integers with . Let be the vector space of all homogeneous polynomia…
math.AG2023
Abelian covers of of -ordinary Ekedahl-Oort type
Yuxin Lin, Elena Mantovan, Deepesh Singhal
Given a family of abelian covers of and a prime of good reduction, by considering the associated Deligne--Mostow Shimura variety, we obtain lower bounds for the…
math.NT2023
Denisty questions in rings of the form
Deepesh Singhal, Yuxin Lin
We fix a number field and study statistical properties of the ring as varies over algebraic numbers of a fixed degree . Given , w…