4 papers
math.CT2024
Formal extension of noncommutative tensor-triangular support varieties
Merrick Cai, Kent B. Vashaw
Given a support variety theory defined on the compact part of a monoidal triangulated category, we define an extension to the non-compact part following the blueprint of Benson--Ca…
math.AG2022
Decomposition of Frobenius pushforwards of line bundles on wonderful compactifications
Merrick Cai, Vasily Krylov
De Concini-Procesi introduced varieties known as wonderful compactifications, which are smooth projective compactifications of semisimple adjoint groups . We study the Frobenius…
math.NT2021
Factorization of measures and applications to the weak Goldfeld conjecture
Merrick Cai
Extending Gross's result, we prove that a certain factorizaton of measures holds for all and any finite even Dirichlet character of any conductor, rather than only for spli…
math.RT2018
The Hilbert Series of the Irreducible Quotient of the Polynomial Representation of the Rational Cherednik Algebra of Type in Characteristic for
Merrick Cai, Daniil Kalinov
We study the irreducible quotient of the polynomial representation of the rational Cherednik algebra of type ove…