Let be a polarized abelian surface of Picard rank , and let be the function which takes each ample line bundle to the least integer such that is -very ample but not -very ample. We use Bridgeland’s stability conditions and Fourier–Mukai techniques to give a closed formula for as a function of , showing that it is linear in for . As a by-product, we calculate the walls in the Bridgeland stability space for certain Chern characters.
"Critical -very ampleness for abelian surfaces." Kyoto J. Math. 56 (1) 33 - 47, April 2016. https://doi.org/10.1215/21562261-3445147