Construction of certain rational functions on the moduli stack of Drinfeld shtukas
classification
🧮 math.AG
math.NT
keywords
functionsrationalcertaindivisorsmodulishtukasstackconstruction
read the original abstract
We construct certain rational functions (modular units) on the moduli stack of Drinfeld shtukas. The divisors of these rational functions are supported on horospherical divisors of the moduli stack. The key to our construction is a vanishing theorem for shtukas with zeros and poles satisfying certain conditions. Using deformation theory, we calculate the divisors of these rational functions.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.