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- W2735758208 abstract "We provide a formula for the generating series of the zeta function $Z(X,t)$ of symmetric powers $Sym^n X$ of varieties over finite fields. This realizes $Z(X,t)$ as an exponentiable motivic measure whose associated Kapranov motivic zeta function takes values in $W(R)$ the big Witt ring of $R=W(mathbb{Z})$. We apply our formula to compute $Z(Sym^n X,t)$ in a number of explicit cases. Moreover, we show that all $lambda$-ring motivic measures have zeta functions which are exponentiable. In this setting, the formula for $Z(X,t)$ takes the form of a MacDonald formula for the zeta function." @default.
- W2735758208 created "2017-07-21" @default.
- W2735758208 creator A5066866783 @default.
- W2735758208 date "2017-07-11" @default.
- W2735758208 modified "2023-09-27" @default.
- W2735758208 title "A MacDonald formula for zeta functions of varieties over finite fields" @default.
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