Motivic zeta function via dlt modification

Abstract

Given a smooth variety $X$ and a regular function $f$ on it, by considering the dlt modification, we define the dlt motivic zeta function $Z_{\mathrm{mot}}^{\mathrm{dlt}}(s)$ which does not depend on the choice of the dlt modification.

Unfortunately, the main theorem which claims a dlt motivic zeta function is well defined, is erroneous. See arXiv:2112.00609 for more details

References in corpus (1)

• The dual complex of singularities