Mon, November 23, 2020
Public Access Category: All |
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- Time:
- 4:00pm-5:00pm
- Description:
- Speaker: Gianfranco Casnati, Politecnico di Torino
Time: Monday 23rd November 4 to 5pm (joining time 3.45 pm IST)
Google Meet Link: https://meet.google.com/qvo-kduy-yco
Title: Ulrich bundles on surfaces
Abstract: An Ulrich bundle on a variety embedded in the projective space
is a vector bundle that admits a linear resolution as a sheaf on the
projective space.
Ulrich bundles have many interesting properties. E.g., the existence of
Ulrich bundles of low rank on a hypersurface $X$ is related to the problem
of finding a linear determinantal or a linear pfaffian description of the
equation of $X$.
Ulrich bundles on curves can be easily described. This is no longer true
for Ulrich bundles on a surface. In the talk we focus our attention on
this latter case. In particular we deal with surfaces $S$ such that
$q(S)=0$ and the hyperplane linear system is non-special. In this case, we
discuss some recent existence results, discussing also the case of
surfaces of degree up to $8$.