3 papers
math.NT2026
A higher Gross-Zagier type formula for moduli of shtukas at deeper level
Patrick Bieker
We generalize the function field analogue analogue of the Gross-Zagier and Waldspurger formulae due to Yun and Zhang relating the (higher) derivative of an automorphic (base change…
math.AG2025
Normality of Schubert varieties in affine Grassmannians II: The tamely ramified case
Patrick Bieker
We prove a criterion for the normality of Schubert varieties in twisted affine Grassmannians in terms of the order of the algebraic fundamental group of a certain Levi subgroup, in…
math.AG2025
Normality of Schubert varieties in affine Grassmannians
Patrick Bieker, Timo Richarz
We classify all normal Schubert varieties in the affine Grassmannian of a semisimple group over an arbitrary field with special attention to small positive characteristic. The proo…