Kyoto Journal of Mathematics
- Kyoto J. Math.
- Volume 56, Number 1 (2016), 33-47.
Critical -very ampleness for abelian surfaces
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.
Kyoto J. Math., Volume 56, Number 1 (2016), 33-47.
Received: 11 March 2014
Revised: 22 May 2014
Accepted: 3 December 2014
First available in Project Euclid: 15 March 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Alagal, Wafa; Maciocia, Antony. Critical $k$ -very ampleness for abelian surfaces. Kyoto J. Math. 56 (2016), no. 1, 33--47. doi:10.1215/21562261-3445147. https://projecteuclid.org/euclid.kjm/1458047877