New systems of log-canonical coordinates on $SL(2,\mathbb{C})$ character varieties of compact Riemann surfaces

Marco Bertola, Dmitry Korotkin, Jordi Pillet

We construct new sets of log-canonical coordinates on the $SL(2,\mathbb{C})$ character variety of compact Riemann surfaces. These are labelled by families of $1\le m\le 3g-3$ no…