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A. Dvorsky

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Preprint Oct 2026

Tame Discrete Sets on Affine Semisimple Homogeneous Spaces

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 $G/H$ with $G$ a connected complex semisimple algebraic group and $H$ a closed connected reductive subgroup. Weak and strong tameness coincid...

A. Dvorsky · 0 citations
Preprint Aug 2026

The Unfair 0-1 Polynomial Problem and High-Degree Trinomials

The unfair $0$--$1$ polynomial conjecture asks whether a factorization \[C(x)=A(x)B(x),\] with $A$ and $B$ monic and having nonnegative real coefficients, and $C$ a polynomial with all the coefficients 0 and 1, must already be a factorization into $0$--$1$ polynomials. Let $k$ be odd and $0<a<1$. We study the possibili...

A. Dvorsky · 1 citation

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