3 papers
math.AG2026
Equivariant motivic integration on special formal schemes
Quy Thuong Lê, Hong Duc Nguyen
In this article, we construct an equivariant version of motivic integration on special formal schemes that generalizes our previous work for algebraic varieties. Pointing out the e…
math.AG2026
On the separation Åojasiewicz exponents of real analytic sets in the real plane
Phi Dung Hoang, Hong Duc Nguyen
The main aim of the paper is to give a formula for computing the separation Åojasiewicz exponents for two real analytic set germs via the Newton--Puiseux expansions of their defin…
math.AG2024
Motivic integration on special rigid varieties and the motivic integral identity conjecture
Hong Duc Nguyen
We prove in this paper the original version of Kontsevich and Soibelman's motivic integral identity conjecture for formal functions by developing a novel framework for equivariant…