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Responsabili:

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

## Evento

Titolo: Stable Ulrich Bundles on Fano 3-folds with Picard Number 2
Quando: 31/01/2018 - 15:40
Dove: Palazzo Campana - TORINO
Aula: Aula C
Relatore: ÖZHAN GENÇ
Afferenza: METU - Northern Cyprus Campus
Locandina:

## 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.

## Sede

Sede:
Indirizzo: Via Carlo Alberto 10
CAP: 10123
Città: TORINO