M. Losik

activity

19982004

most citedLifting smooth curves over invariants for representations of compact Lie groups. II

9 citations · 10 across the 3 of their papers we have counts for

collaborators

Showing 2002Show all

3 papers · 1 filter

math.CA2002★ 1 cited

Choosing roots of polynomials smoothly, II

Andreas Kriegl, Mark Losik, Peter W. Michor

We show that the roots of any smooth curve of polynomials with only real roots can be parametrized twice differentiably (but not better).

math.AG2002

Invariant tensor fields and orbit varieties for finite algebraic transformation groups

Mark Losik, Peter W. Michor, Vladimir L. Popov

Let $X$ be a smooth algebraic variety endowed with an action of a finite group $G$ such that there exists the geometric quotient $π_{X} : X \to X / G$ . We characterize rational tensor fie…

math.DG2002

Tensor fields and connections on holomorphic orbit spaces of finite groups

Andreas Kriegl, Mark Losik, Peter W. Michor

For a representation of a finite group $G$ on a complex vector space $V$ we determine when a holomorphic $(q p)$ -tensor field on the principle stratum of the orbit space $V/…