Open AccessConstruction of low rank vector bundles on 𝐏⁴ and 𝐏⁵
Author(s) -
Narasimha Kumar,
Chris Peterson,
A. P. Rao
Publication year - 2001
Publication title -
journal of algebraic geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.824
H-Index - 50
eISSN - 1534-7486
pISSN - 1056-3911
DOI - 10.1090/s1056-3911-01-00309-5
Subject(s) - algorithm , rank (graph theory) , annotation , artificial intelligence , computer science , type (biology) , mathematics , combinatorics , biology , ecology
We describe a technique which permits a uniform construction of a number of low rank bundles, both known and new. In characteristic two, we obtain rank two bundles on P 5 \mathbf {P}^{5} . In characteristic p p , we obtain rank two bundles on P 4 \mathbf {P}^4 and rank three bundles on P 5 \mathbf {P}^5 . In arbitrary characteristic, we obtain rank three bundles on P 4 \mathbf {P}^4 and rank two bundles on the quadric S 5 S_5 in P 6 \mathbf {P}^6 .