Connected monodromy fields of Jacobians with complex multiplication
arXiv:2510.21247
Abstract
We describe an algorithm to compute the minimal field of definition of the Tate classes on powers of a Jacobian with potential complex multiplication. This field arises as a natural invariant of the Galois representations attached to . We also give closed formulas expressing the periods of anti-holomorphic differential forms on in terms of the periods of the holomorphic ones.
24 pages, comments are welcome