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math.AG2022
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…
math.AG2022
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.CA2022
Limits of real bivariate rational functions
Si Tiep Dinh, Feng Guo, Hong Duc Nguyen +1
Given two nonzero polynomials and a point we give some necessary and sufficient conditions for the existence of the limit $\disp…