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Largest zero-dimensional intersection of degree hypersurfaces
Yuxin Lin, Deepesh Singhal
Suppose we have hypersurfaces in of degree , whose defining polynomials are linearly independent, and their intersection has dimension . Then what is the l…
Non--ordinary smooth abelian covers of
Yuxin Lin, Elena Mantovan, Deepesh Singhal
Given a family of odd abelian covers of and a prime of good reduction, in [1], under some assumptions, we computed the generic Newton polygon (resp. Ekedahl-Oort…
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…
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…