On an elementary transformation of vector bundles in Pⁿ

2017/11/10 by Obiero, Ben Owino
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.03792

Abstract

By considering the equivalence between the category of locally free sheaves and the category of algebraic vector bundles, we show how elementary transformations of vector bundles can be used to prove a case of the maximal rank hypothesis. We in turn show how this can be applied in the study of minimal free resolutions.

Related

• Pure resolutions of vector bundles on complex projective spaces
• Ranks of maps of vector bundles
• Vector bundles and Arakelov geometry on the projective line over the\n integers
• Large rank simple bundles of all homological dimensions
• All strictly exceptional collections in D^b_coh(P^m) consist of vector bundles