4 citations · 6 across the 4 of their papers we have counts for
4 papers
On total reality of meromorphic functions
A. Degtyarev, T. Ekedahl, I. Itenberg +2
We show that if a meromorphic function of degree at most four on a real algebraic curve of an arbitrary genus has only real critical points then it is conjugate to a real meromorph…
First steps towards total reality of meromorphic functions
T. Ekedahl, B. Shapiro, M. Shapiro
It was earlier conjectured by the second and the third authors that any rational curve such that the inverse images of all its flattening point…
Algebras of curvature forms on homogeneous manifolds
Alexander Postnikov, Boris Shapiro, Mikhail Shapiro
Let C(X) be the algebra generated by the curvature 2-forms of the standard hermitian line bundles over the complex homogeneous manifold X=G/B. We calculate the Hilbert polynomial o…
Chaotic Geodesics in Carnot Groups
R. Montgomery, M. Shapiro, A. Stolin
The group of real 4 by 4 upper triangular matrices with 1s on the diagonal has a left-invariant subRiemannian (or Carnot-Caratheodory) structure whose underlying distribution corre…