A conic bundle degenerating on the Kummer surface

  title={A conic bundle degenerating on the Kummer surface},
  author={M. Bolognesi},
  journal={Mathematische Zeitschrift},
  • 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
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