TY - JOUR
T1 - Discrete behavior of Seshadri constants on surfaces
AU - Harbourne, Brian
AU - Roé, Joaquim
PY - 2008/3/1
Y1 - 2008/3/1
N2 - Working over C, we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constants for general points on smooth projective surfaces form a discrete set. In addition to its theoretical interest, this result is of practical value, which we demonstrate by giving significantly improved explicit lower bounds for Seshadri constants on P2 and new results about ample divisors on blow ups of P2 at general points. © 2007 Elsevier Ltd. All rights reserved.
AB - Working over C, we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constants for general points on smooth projective surfaces form a discrete set. In addition to its theoretical interest, this result is of practical value, which we demonstrate by giving significantly improved explicit lower bounds for Seshadri constants on P2 and new results about ample divisors on blow ups of P2 at general points. © 2007 Elsevier Ltd. All rights reserved.
U2 - https://doi.org/10.1016/j.jpaa.2007.06.018
DO - https://doi.org/10.1016/j.jpaa.2007.06.018
M3 - Article
VL - 212
SP - 616
EP - 627
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
ER -