Alexey Kokotov

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20242026

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math.DG2025

Variational formulas for determinant of Laplacian on higher genus polyhedral surface

Dmitrii Korikov, Alexey Kokotov

Let $X$ be a Riemann surface of genus $g \geq 1$ endowed with a flat conical metric $m$ and let $det Δ$ be the $ζ$ -regularized determinant of the Friedrichs Laplacian on $(X,m…

math.DG2025

Regularized $ζ_{Δ} (1)$ for Polyhedra

Alexey Yu. Kokotov, Dmitrii V. Korikov

Let $X$ be a compact polyhedral surface (a compact Riemann surface with flat conformal metric $T$ having conical singularities). The $ζ$ -function $ζ_{Δ} (s)$ of the Friedri…

Variational formulas for determinant of Laplacian on higher genus polyhedral surface

Regularized ζΔ​(1) for Polyhedra

Regularized $ζ_{Δ} (1)$ for Polyhedra