Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 10-19
Citer cet article
I. V. Artamkin. Topologically Trivial Sheaves on Curves with Simplest Singularities. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 10-19. http://geodesic.mathdoc.fr/item/TM_2004_246_a1/
@article{TM_2004_246_a1,
author = {I. V. Artamkin},
title = {Topologically {Trivial} {Sheaves} on {Curves} with {Simplest} {Singularities}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {10--19},
year = {2004},
volume = {246},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2004_246_a1/}
}
TY - JOUR
AU - I. V. Artamkin
TI - Topologically Trivial Sheaves on Curves with Simplest Singularities
JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY - 2004
SP - 10
EP - 19
VL - 246
UR - http://geodesic.mathdoc.fr/item/TM_2004_246_a1/
LA - ru
ID - TM_2004_246_a1
ER -
%0 Journal Article
%A I. V. Artamkin
%T Topologically Trivial Sheaves on Curves with Simplest Singularities
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2004
%P 10-19
%V 246
%U http://geodesic.mathdoc.fr/item/TM_2004_246_a1/
%G ru
%F TM_2004_246_a1
Topologically trivial vector bundles on nodal curves were considered in Tyurin's book Quantization, Classical and Quantum Field Theory, and Theta Functions. In the present paper, a compactification of the moduli of such vector bundles by topologically trivial torsion-free sheaves is constructed, and a stability criterion for topologically trivial sheaves of ranks $1$ and $2$ is given.