The double ramification cycle and the theta divisor
The double ramification cycle and the theta divisor
We compute the classes of universal theta divisors of degrees zero and $g-1$ over the Deligne-Mumford compactification ${\overline {\mathcal {M}}_{g,n}}$ of the moduli space of curves, with various integer weights on the points, in particular reproving a recent result of Müller. We also obtain a formula for the class in …