82 citations · 169 across the 34 of their papers we have counts for
4 papers · 2 filters
On irreducible components of real exponential hypersurfaces
Cordian Riener, Nicolai Vorobjov
Fix any algebraic extension of the field of rationals. In this article we study exponential sets . Such sets are described by the vani…
Efficient algorithms for computing the Euler-Poincaré characteristic of symmetric semi-algebraic sets
Saugata Basu, Cordian Riener
Let be a real closed field and an ordered domain. We consider the algorithmic problem of computing the generalized Euler-Poincaré chara…
Bounds on the individual Betti numbers of complex varieties, stability and algorithms
Saugata Basu, Cordian Riener
We prove graded bounds on the individual Betti numbers of affine and projective complex varieties. In particular, we give for each , explicit bounds on the -th Betti numb…
Reflection groups, reflection arrangements, and invariant real varieties
Tobias Friedl, Cordian Riener, Raman Sanyal
Let be a nonempty real variety that is invariant under the action of a reflection group . We conjecture that if is defined in terms of the first basic invariants of…