2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74053Let $Z$ be a Fano variety satisfying the condition that the rank of the Grothendieck group of $Z$ is one more than the dimension of $Z$. Let $ω_Z$ denote the total space of the canonical line bundle of $Z$, considered as a non-compact Calabi-Yau variety. We use the theory of exceptional collections to describe t-structures on the derived category of coherent sheaves on $ω_Z$. The combinatorics of these t-structures is determined by a natural action of an affine braid group, closely related to the well-known action of the Artin braid group on the set of exceptional collections on $Z$.30 pagesAlgebraic GeometryHigh Energy Physics - TheoryT-structures on some local Calabi-Yau varietiestext