# A conic bundle degenerating on the Kummer surface

@article{Bolognesi2007ACB,
title={A conic bundle degenerating on the Kummer surface},
author={M. Bolognesi},
journal={Mathematische Zeitschrift},
year={2007},
volume={261},
pages={149-168}
}
• M. Bolognesi
• Published 2007
• Mathematics
• Mathematische Zeitschrift
Let C be a genus 2 curve and $${\mathcal{SU}}_C(2)$$ the moduli space of semi-stable rank 2 vector bundles on C with trivial determinant. In Bolognesi (Adv Geom 7(1):113–144, 2007) we described the parameter space of non stable extension classes of the canonical sheaf ω of C by ω−1. In this paper, we study the classifying rational map $$\varphi: {\mathbb{P}} Ext^1(\omega,\omega^{-1})\cong {\mathbb{P}}^4 \dashrightarrow {\mathcal{SU}}_C(2)\cong {\mathbb{P}}^3$$ that sends an extension class to… Expand