Now showing items 1-4 of 4

• Equivariant motivic integration and proof of the integral identity conjecture for regular functions ﻿

(2019-12-02)
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 ...
• Euler reflexion formulas for motivic multiple zeta functions ﻿

(2017-05-14)
We introduce a new notion of $\boxast$-product of two integrable series with coefficients in distinct Grothendieck rings of algebraic varieties, preserving the integrability of and commuting with the limit of rational ...
• Right unimodal and bimodal singularities in positive characteristic ﻿

(2017-08-07)
The problem of classification of real and complex singularities was initiated by Arnol'd in the sixties who classified simple, unimodal and bimodal singularities w.r.t. right equivalence. The classification of simple ...
• Topological invariants of plane curve singularities: Polar quotients and Lojasiewicz gradient exponents ﻿

(2019-10-21)
In this paper, we study polar quotients and Łojasiewicz exponents of plane curve singularities, which are not necessarily reduced. We first show that, for complex plane curve singularities, the set of polar quotients is a ...