Boris Tsvelikhovskiy

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20182025

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math.AG2025

Notes from a family of smooth $G$ -Hilbert schemes

Boris Tsvelikhovskiy

Let $G = Z / r Z$ be the cyclic group of order $r$ , and let $ϖ = e^{2 π i / r}$ denote a primitive $r$ th root of unity. Consider the action of $G$ on $\mathbb{C…

math.AG2025

On a Dichotomy for Skyscraper Sheaves under the Bridgeland-King-Reid Equivalence

Boris Tsvelikhovskiy

Let $G \subset S L_{3} (C)$ be a finite abelian subgroup, and let $Y = G - Hilb (C^{3})$ be the corresponding $G$ -Hilbert scheme. Denote by $Ψ: D^b…

math.AG2022

Toric vector bundles over a discrete valuation ring and Bruhat-Tits buildings

Kiumars Kaveh, Christopher Manon, Boris Tsvelikhovskiy

We give a classification of rank $r$ torus equivariant vector bundles $E$ on a toric scheme $X$ over a discrete valuation ring $O$ , in terms of grade…

Notes from a family of smooth G-Hilbert schemes

On a Dichotomy for Skyscraper Sheaves under the Bridgeland-King-Reid Equivalence

Toric vector bundles over a discrete valuation ring and Bruhat-Tits buildings

Notes from a family of smooth $G$ -Hilbert schemes