31 citations · 41 across the 8 of their papers we have counts for
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Algebraic ellipticity of quartic double spaces
Alexander Dvorsky, Shulim Kaliman, Mikhail Zaidenberg
We prove that every smooth quartic double -fold, , over an algebraically closed field of characteristic zero is algebraically elliptic in Gromov's sense. In particular, e…
Tame Discrete Sets on Affine Semisimple Homogeneous Spaces
Alexander Dvorsky
Winkelmann conjectures that every smooth flexible complex affine variety of dimension at least two is a Rosay--Rudin space. We verify this for every positive-dimensional quotient $…
The Unfair 0-1 Polynomial Problem and High-Degree Trinomials
Alexander Dvorsky
The unfair -- polynomial conjecture asks whether a factorization \[C(x)=A(x)B(x),\] with and monic and having nonnegative real coefficients, and a polynomial with…
An Explicit Five-Variable Counterexample to the Generalized Vanishing Conjecture
Alexander Dvorsky
We give an explicit counterexample in five variables to the Generalized Vanishing Conjecture. The construction is motivated by the recent counterexample to the Mathieu conjecture f…