Valerio Buttinelli

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20242026

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math.AG2026

Ulrich bundles with $c_{2} (E)^{2} = 0$ and connectedness of Ulrich subvarieties

Valerio Buttinelli, Angelo Felice Lopez, Roberto Vacca

We give an almost complete classification of Ulrich bundles $E$ with $c_{2} (E)^{2} = 0$ on a variety $X$ of dimension $n \geq 4$ . Moreover, we show that there are strong…

math.AG2025

On the connectedness of some degeneracy loci and of Ulrich subvarieties

Valerio Buttinelli, Angelo Felice Lopez, Roberto Vacca

We study connectedness of degeneracy loci $D_{r - k} (φ)$ of morphisms $φ : O_{X}^{\oplus (r + 1 - k)} \to E$ , where $E$ is a rank $r$ globally generated bundle…

math.AG2024

On the projective normality of Ulrich bundles on some low-dimensional varieties

Valerio Buttinelli

We study the projective normality of the projective bundle of an Ulrich vector bundle embedded through the complete linear system of its tautological line bundle. The focus will be…

math.AG2024

Positivity of Ulrich bundles in the ample and free case

Valerio Buttinelli

We study the positivity of an Ulrich vector bundle defined with respect to a globally generated ample line bundle. First we prove a generalization of a Lopez theorem on the first C…

Ulrich bundles with c2​(E)2=0 and connectedness of Ulrich subvarieties

On the connectedness of some degeneracy loci and of Ulrich subvarieties

On the projective normality of Ulrich bundles on some low-dimensional varieties

Positivity of Ulrich bundles in the ample and free case

Ulrich bundles with $c_{2} (E)^{2} = 0$ and connectedness of Ulrich subvarieties