Standard Vector Bundles
Category Theory
2014-04-08 v1 Algebraic Geometry
K-Theory and Homology
Abstract
We construct the categories of standard vector bundles over schemes and define direct sum and tensor product. These categories are equivalent to the usual categories of vector bundles with additional properties. The tensor product is strictly associative, strictly commutative with line bundles, and strictly functorial on base change.
Keywords
Cite
@article{arxiv.1404.1485,
title = {Standard Vector Bundles},
author = {Youngsoo Kim},
journal= {arXiv preprint arXiv:1404.1485},
year = {2014}
}
Comments
32 pages