3 papers
math.NT2026
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…
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…