184 citations
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5 papers · 1 filter
Linear Shafarevich Conjecture
Philippe Eyssidieux, L. Katzarkov, Tony Pantev +1
We prove that the universal covering space of a complex projective manifold is holomorphically convex provided its fundamental group is linear.
Smooth Affine Surfaces with Non-Unique C*-Actions
Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg
In this paper we complete the classification of effective C*-actions on smooth affine surfaces up to conjugation in the full automorphism group and up to inversion of C*. If a smoo…
Embeddings of C*-surfaces into weighted projective spaces
Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg
Let V be a normal affine surface which admits a C*- and a C+-action. In this note we show that in many cases V can be embedded as a principal Zariski open subset into a hypersurfac…
Algebraic density property of homogeneous spaces
Fabrizio Donzelli, Alexander Dvorsky, Shulim Kaliman
Let be an affine algebraic variety with a transitive action of the algebraic automorphism group. Suppose that is equipped with several non-degenerate fixed point free $SL_2…
Subrings invariant under endomorphisms
Shulim Kaliman
Let S and R be the rings of regular functions on affine algebraic varieties over a field of characteristic 0, R be embedded as a subring in S, and F : S --> S be an endomorphism su…