University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > K3 surfaces of genus 17

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

K3 surfaces of genus 17

Download to your calendar using vCal

If you have a question about this talk, please contact Mustapha Amrani .

Moduli Spaces

The moduli space M=M(2, h, 8) of semi-rigid vector bundles on a (polarized) K3 surface (S, h) of genus 17 is a K3 surface of genus 5. Moreover, the universal family gives an equivalence between the derived category of S and a twisted derived category of M. This equivalence induces us a rational map from S to the non-abelian Brill-Noether locus SU(2, K; 5F) of type II (see alg-geom/9704015) in the moduli space of 2-bundles on a curve of genus 5. We show that this map is an isomorphism when the modulus of (S, h) is general, using Thaddeus’ formula. As a corollary the moduli space F17 of (S, h)s is unirational.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

DELETED Average on weekdays: 9025.7139738 kWh FS09

Other talks

Title abstract tbc Title to be confirmed The Gardens of the Western Cape Title to be confirmed Title to be confirmed Afternoon Break
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity