Equivariant motivic integration and proof of the integral identity conjecture for regular functions
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01940-2
Abstract: We develop Denef–Loeser’s motivic integration to an equivariant version and use it to prove the full integral identity conjecture for regular functions. In comparison with Hartmann’s work, the equivariant Grothendieck ring defined in this article… read more here.
Keywords: conjecture regular; identity conjecture; conjecture; integral identity ... See more keywords
Equivariant motivic integration on formal schemes and the motivic zeta function
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2018.1508578
Abstract: Abstract For a formal scheme over a complete discrete valuation ring with a good action of a finite group, we define equivariant motivic integration, and we prove a change of variable formula for that. To… read more here.
Keywords: zeta function; motivic zeta; equivariant motivic; motivic integration ... See more keywords