MathOverflow

Consider the bounded derived category $D^b(\operatorname{mod } R)$ of finitely generated modules over a commutative Noetherian ring $R$ and the homology functor $H_*: D^b(\operatorname{mod } R) \to D^b(\operatorname{mod } R)$ which sends every $X \in...

I am reading the preprint by Kramer-Miller and Upton on zeros of the Goss zeta function, and I am wondering why the Goss plane is defined the way it is.
For $K$ a global function field of characteristic $p$, $P$ a place of $K$, $L/K_P$ a finite extension, and $\mathbb{C}_P$ the completion of the algebraic closure of $K_P$, we want to set up a domain of (quasi)characters for the Goss zeta function in...

let's suppose we have a function field $F$ and some Drinfeld modular variety of rank $r$ over $F$, with some level structure $Y^{(r)}(N)$. Then the field of constants of $Y^{(r)}(N)$ is some class field $F_N$ of $F$ depending on $r$ (coming from the...

It is well-known that the Clebsch parameterization
$$ V_\mu = \nabla_\mu \Phi + \alpha \nabla_\mu \beta $$
of a fluid 4-velocity has a gauge redundancy: