2 papers
math.AC2024
Ulrich ranks of Veronese varieties and equivariant instantons
Daniele Faenzi, Victor Do Valle Pretti
We construct Ulrich bundles on Veronese threefolds of arbitrary degree as generic deformations of symmetric squares of equivariant instanton bundles on the projective space, thus c…
math.AC2024
A relative homology criterion of smoothness
Kostiantyn Iusenko, Eduardo do Nascimento Marcos, Victor do Valle Pretti
We investigate the relationship between smoothness and the relative global dimension of a ring extension. We prove that a smooth commutative algebra over has finite relativ…