TY - JOUR
AU - David Stapleton
PY - 2020/09/03
Y2 - 2020/09/21
TI - A direct proof that toric rank $2$ bundles on projective space split
JF - MATHEMATICA SCANDINAVICA
JA - MathScand
VL - 126
IS - 3
SE - Articles
DO - 10.7146/math.scand.a-121452
UR - https://www.mscand.dk/article/view/121452
AB - The point of this paper is to give a short, direct proof that rank $2$ toric vector bundles on $n$-dimensional projective space split once $n$ is at least $3$. This result is originally due to Bertin and Elencwajg, and there is also related work by Kaneyama, Klyachko, and Ilten-Süss. The idea is that, after possibly twisting the vector bundle, there is a section which is a complete intersection.
ER -