Alessandro Lehmann

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20242026

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math.AG2026

An Orlov theorem for matrix factorizations with multiple factors

Alessandro Lehmann, NicolÃ² Sibilla

We prove a generalization of Orlov's theorem for matrix factorizations with $n$ steps. Let $X$ be a regular scheme, $W : X \to A^{1}$ a flat morphism and $D := W^{- 1} (0)$ i…

math.AG2025

Hochschild cohomology and extensions of triangulated categories

Alessandro Lehmann, Wendy Lowen

We define a notion of categorical first order deformations for (enhanced) triangulated categories. For a category $T$ , we show that there is a bijection between $\operato…