3 papers
math.AG2026
On the excursion algebra
Dennis Gaitsgory, Kevin Lin, Wyatt Reeves
The excursion algebra associated to a scheme X over a finite field and a reductive group G is the algebra of global functions on the stack of arithmetic G-local systems on X. When…
math.AG2026
On the Nash Problem over 3-Fold Terminal Singularities of Type cAx/2
Keng-Hung Steven Lin
We study Nash valuations on 3-fold terminal singularities, especially in type cAx/2. We find that, in type cAx/2, exceptional prime divisors computing the minimal discrepancy (whic…
math.CV2026
The Carathéodory metric on Teichmüller space of genus two surface
Kejie Lin, Weixu Su
Let $\Tei_{g,n}$ be the Teichmüller space of Riemann surfaces of genus with punctures. It is conjectured that the Teichmüller and Carathéodory metrics agree on a TeichmÅ