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math.AG2006★ 1 cited
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…
math.AG2006
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…
math.AG1999★ 4 cited
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…