ALGEBRAIC GEOMETRY SEMINAR @ SISSA - Wednesday, 4 December, at 16:00 (Vitantonio Peragine)

[ICTP Math Section]

ALGEBRAIC   GEOMETRY   SEMINAR


VENUE:  Room (A-136) SISSA


Wednesday 4 December, at 16:00 hrs.


Speaker: Vitantonio Peragine (SISSA)


Title: Vector bundles over elliptic surfaces


Abstract: This will be a review talk about vector bundles on elliptic 
surfaces. We will start by showing that S-equivalence classes of 
semistable vector bundles of rank n and trivial determinant over an 
integral curve E of arithmetic genus 1 (possibly singular) have a coarse 
moduli space, which is a projective space P of dimension n-1. Then, we 
will describe two methods for constructing universal families of regular 
bundles over PxE, one based on the idea of a spectral cover of P, and 
the other on the universal extension of two suitably chosen vector 
bundles on E. Finally, we will explain how these ideas can be 
generalized to the relative context of a family of Weierstrass cubics 
with a section.

http://users.ictp.it/~arincon/AGS.html

-- 

Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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