A. Parusiński

activity

19942026

most citedCharacteristic Classes of Hypersurfaces and Characteristic Cycles

93 citations · 180 across the 39 of their papers we have counts for

collaborators

Showing 2013 · math.CAShow all

3 papers · 2 filters

math.CA2013★ 15 cited

Regularity of roots of polynomials

Adam Parusinski, Armin Rainer

We show that smooth curves of monic complex polynomials $P_{a} (Z) = Z^{n} + \sum_{j = 1}^{n} a_{j} Z^{n - j}$ , $a_{j} : I \to C$ with $I \subset R$ a compact interval, have absolute…

math.CA2013★ 11 cited

A new proof of Bronshtein's theorem

Adam Parusinski, Armin Rainer

We give a new self-contained proof of Bronshtein's theorem, that any continuous root of a $C^{n - 1, 1}$ -family of monic hyperbolic polynomials of degree $n$ is locally Lipschitz, and…

math.CA2013★ 3 cited

Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings

Jean-Philippe Rolin, Adam Parusinski

Consider quasianalytic local rings of germs of smooth functions closed under composition, implicit equation, and monomial division. We show that if the Weierstrass Preparation Theo…