RT Journal Article
T1 Stability of conic bundles - (With an appendix by Mundet I Riera)
A1 Sols Lucía, Ignacio
A1 Gómez, Tomás L.
AB Roughly speaking, a conic bundle is a surface, fibered over a curve, such that the fibers are conics (not necessarily smooth). We define stability for conic bundles and construct a moduli space. We prove that (after fixing some invariants) these moduli spaces are irreducible (under some conditions). Conic bundles can be thought of as generalizations of orthogonal bundles on curves. We show that in this particular case our definition of stability agrees with the definition of stability for orthogonal bundles. Finally, in an appendix by I. Mundet i Riera, a Hitchin-Kobayashi correspondence is stated for conic bundles.
PB World Scientific
SN 0129-167X
YR 2000
FD 2000-11
LK https://hdl.handle.net/20.500.14352/58349
UL https://hdl.handle.net/20.500.14352/58349
LA eng
DS Docta Complutense
RD 16 abr 2025