Evento
Descrizione:
Abstract: A vector bundle $\mathcal{E}$ on a projective variety $X$ in $\mathbb{P}^{n}$ is Ulrich if for some linear projections $X$ in $\mathbb{P}^{n-1}$ the direct image of $\mathcal{E}$ is trivial. It was conjectured that on any variety there exist Ulrich bundles. In this talk, we studied the construction of stable Ulrich bundles on imprimitive Fano 3-folds with Picard number 2. We showed the existence of rank 1 and rank 2 Ulrich bundles on Fano 3-folds which are blow-up of $\mathbb{P}^{3}$ along a genus 3, degree 6 curve.