Author

V. Tkachev

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Oct 2026

A periodic minimal hypersurface in Euclidean 4-space with Clifford cone singularities

Let $\sigma(t)=\operatorname{sl}(\varpi t)$ be the lemniscatic sine, normalized to have period $2$. We study the zero set $\mathscr{M}$ of $S(x)=\sigma(x_1)\sigma(x_3)-\sigma(x_2)\sigma(x_4)$ in $\mathbb{R}^{4}$. We show that $\mathscr{M}$ is a complete embedded minimal hypersurface with infinitely many isolated singul...

V. Tkachev · 0 citations

Preprint Sep 2026

On the Peirce spectral rigidity of decorated incidence algebras

The multiplication operator of an idempotent in a metrized commutative nonassociative algebra is a self-adjoint linear endomorphism whose spectrum reflects the algebraic and geometric structure encoded in the algebra. Although for general algebras the spectra of idempotents can behave arbitrarily, for the most interest...

Daniel J. F. Fox, V. Tkachev · 0 citations