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11 papers · 1 filter
Scrolls and hyperbolicity
Ciro Ciliberto, Mikhail Zaidenberg
Using degeneration to scrolls, we give an easy proof of non-existence of curves of low genera on general surfaces in P3 of degree d >=5. We show, along the same lines, boundedness…
Family of counterexamples to King's conjecture
Mateusz Michalek
In this short note we present a family of counterexamples to the King's conjecture.
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.
An introduction to wonderful varieties with many examples of type F4
P. Bravi, D. Luna
We give an introduction to the theory of wonderful G-varieties, with many examples when G is simple of type F4. We present results and open problems about these varieties: on their…
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…