Mathematics – Algebraic Geometry
Scientific paper
2010-12-26
Mathematics
Algebraic Geometry
28 pages; v3; minor changes: added Proposition 3.7 and main Theorem 8.1 now also refers the fibre over zero; final version
Scientific paper
Given any line bundle L of positive degree, on a compact Riemann surface, let $M_L^\Lambda$ be the moduli space of L-twisted Higgs pairs of rank 2 with fixed determinant isomorphic to $\Lambda$ and traceless Higgs field. We give a description of the singular fibre of the Hitchin map $H:M^L_\Lambda\to H^0(L^2)$, when the corresponding spectral curve has any singularity of type $A_{m-1}$. In particular, we prove directly that this fibre is connected.
Gothen Peter B.
Oliveira André
No associations
LandOfFree
The singular fibre of the Hitchin map does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The singular fibre of the Hitchin map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The singular fibre of the Hitchin map will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-532486