Polynomial matrices and spectral curve

27 Maio 2020, 10:30 Davide Masoero

1. Proposition 5.1 of Hitchin's book:

The equivalence between:
A)the space of conjugacy of polynomial matrices with a given smooth spectral curve X
B)J^{g-1}/Theta, where J^{g-1} is the Jacobian of degree g-1, and Theta, the theta divisor (the image of S^{g-1}X into J^{g-1})

2. The case X of genus 1