2018/02/24 by Bivas Khan, Khan, Bivas, Jyoti Dasgupta +1
Mathematics · #14C20 #14J60 #14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C20 #msc:14J60 #msc:14M25
paper · pdf · doi:10.48550/arxiv.1802.08803
18 pages, Corrected some errors in the previous version, accepted for publication in Bulletin des Sciences Mathematiques
arxiv created 2019/04/08 · arxiv updated 2019/04/09
In this paper, using Klyachko's classification theorem we study positivity and semi-stability of toric vector bundles on a class of nonsingular projective toric varieties, known as Bott towers. In particular, we give a criterion of s-jet ampleness of line bundles and characterize nef and big line bundles on Bott towers using Bott numbers. We obtain a criterion for the ampleness of discriminant zero semi-stable toric vector bundles on nonsingular projective varieties. We also describe toric subbundles of toric vector bundles on nonsingular toric varieties.