3 papers
math.NT2026
Linear independence of theta series of positive-definite, unimodular even lattices
Manuel K. -H. Müller
We show that the minimal for which the degree theta series of positive-definite, unimodular even lattices of rank are linearly independent is bounded between $\fr…
math.AG2024
The Picard group of the Baily--Borel compactification of the moduli space of quasi-polarized K3 surfaces and generalizations
Chenxin Huang, Zhiyuan Li, Manuel K. -H. Müller +1
In this paper, we investigate the Picard group of the Baily--Borel compactification of orthogonal Shimura varieties. As a key result, we determine the Picard group of the Baily--Bo…
math.NT2024
The basis problem for modular forms for the Weil representation
Manuel K. -H. Müller
The vector valued theta series of a positive-definite even lattice is a modular form for the Weil representation of . We show that the space of cusp form…