Abstract
Let $(S,L)$ be a $(1,d)$polarized abelian surface of Picard rank one and let
$\phi$ be the function which takes each ample line bundle $L'$ to the least
integer $k$ such that $L'$ is $k$very ample but not $(k+1)$very ample. We use
Bridgeland's stability conditions and FourierMukai techniques to give a closed
formula for $\phi(L^n)$ as a function of $n$ showing that it is linear in $n$
for $n>1$. As a byproduct, we calculate the walls in the Bridgeland stability
space for certain Chern characters.
$\phi$ be the function which takes each ample line bundle $L'$ to the least
integer $k$ such that $L'$ is $k$very ample but not $(k+1)$very ample. We use
Bridgeland's stability conditions and FourierMukai techniques to give a closed
formula for $\phi(L^n)$ as a function of $n$ showing that it is linear in $n$
for $n>1$. As a byproduct, we calculate the walls in the Bridgeland stability
space for certain Chern characters.
Original language  English 

Pages (fromto)  3347 
Journal  Kyoto journal of mathematics 
Volume  56 
Issue number  1 
Early online date  15 Mar 2016 
DOIs  
Publication status  Published  30 Apr 2016 
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Antony Maciocia
 School of Mathematics  Personal Chair of Geometry, Dean of Postgraduate Research
Person: Academic: Research Active , Academic: Research Active (Teaching)