Jumps of Jacobians via orthogonal canonical forms

Enis Kaya, Michaël Maex, Art Waeterschoot

Given a smooth, proper curve $C$ over a discretely valued field $k$, we equip the $k$-vector space $H^0(C,{\omega }_{C/k})$ with a canonical discrete valuation $v_{\mathrm{can}}$ which m…