3 papers
math.LO2026
Definability via the tilting correspondence
Gessica Alecci, Ihsane Hadeg, Franziska Jahnke +2
We show that arithmetic definability of henselian valuations is preserved by the tilting correspondence. Moreover, we show that if a perfectoid valuation is arithmetically definabl…
math.NT2024
A Shintani lift for rigid cocycles
Isabella Negrini
We construct a Shintani lift for rigid analytic cocycles of higher weight, attaching modular forms of half-integral weight to such cocycles. The expression for the Fourier coeffici…
math.NT2024
The quaternionic Maass Spezialschar on split
Jennifer Johnson-Leung, Finn McGlade, Isabella Negrini +2
The classical Maass Spezialschar is a Hecke-stable subspace of the space of holomorphic Siegel modular forms of genus two and level one cut out by certain linear relations among Fo…