Line bundles with $c_1{\left(L\right)}^2=0$

De Michelis, Stefano. "Line bundles with \( c_1(L)^2=0 \)." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.1 (1991): 83-90. <http://eudml.org/doc/244297>.

@article{DeMichelis1991,
abstract = {We prove that on a \( CW \)-complex the obstruction for a line bundle \( L \) to be the fractional power of a suitable pullback of the Hopf bundle on a 2-dimensional sphere is the vanishing of the square of the first Chern class of \( L \). On the other hand we show that if one looks at integral powers then further secondary obstructions exist.},
author = {De Michelis, Stefano},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Hopf bundle; Chern classes; Obstructions; obstruction; fractional power; Chern class; secondary obstructions},
language = {eng},
month = {3},
number = {1},
pages = {83-90},
publisher = {Accademia Nazionale dei Lincei},
title = {Line bundles with \( c\_1(L)^2=0 \)},
url = {http://eudml.org/doc/244297},
volume = {2},
year = {1991},
}

TY - JOUR
AU - De Michelis, Stefano
TI - Line bundles with \( c_1(L)^2=0 \)
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/3//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 1
SP - 83
EP - 90
AB - We prove that on a \( CW \)-complex the obstruction for a line bundle \( L \) to be the fractional power of a suitable pullback of the Hopf bundle on a 2-dimensional sphere is the vanishing of the square of the first Chern class of \( L \). On the other hand we show that if one looks at integral powers then further secondary obstructions exist.
LA - eng
KW - Hopf bundle; Chern classes; Obstructions; obstruction; fractional power; Chern class; secondary obstructions
UR - http://eudml.org/doc/244297
ER -