Tatsuki Yamaguchi

On the uniform positivity of 𝐹-signature under reduction modulo 𝑝

Abstract Carvajal-Rojas, Schwede and Tucker asked whether the mod 𝑝 reductions of a complex klt type singularity have uniformly positive 𝐹-signature for all but finitely many primes 𝑝. In this paper, we give an affirmative answer to this conjecture for pure subrings of regular local rings, including reductive quotient...