Seshadri Constants on Smooth Toric Surfaces

  title={Seshadri Constants on Smooth Toric Surfaces},
  author={Anders Lundman},
Abstract. In this paper we compute the Seshadri constants at the general point on many smooth polarized toric surfaces. We consider the case when the degree of jet separation is small or the core of the associated polygon is a line segment. Our main result is that in this case the Seshadri constant at the general point can often be determined in terms of easily computable invariants of the surfaces at hand. Lastly we consider the case that the core of the associated polygon is a point for a… CONTINUE READING