The Brauer group of desingularization of moduli spaces of vector bundles over a curve
Indranil Biswas; Amit Hogadi; Yogish Holla
Open Mathematics (2012)
- Volume: 10, Issue: 4, page 1300-1305
- ISSN: 2391-5455
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topIndranil Biswas, Amit Hogadi, and Yogish Holla. "The Brauer group of desingularization of moduli spaces of vector bundles over a curve." Open Mathematics 10.4 (2012): 1300-1305. <http://eudml.org/doc/269529>.
@article{IndranilBiswas2012,
abstract = {Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M C (r; L) be the coarse moduli space of semistable vector bundles E over C of rank r with ∧r E = L. We show that the Brauer group of any desingularization of M C(r; L) is trivial.},
author = {Indranil Biswas, Amit Hogadi, Yogish Holla},
journal = {Open Mathematics},
keywords = {Semistable bundle; Moduli space; Brauer group; semistable bundle; moduli space},
language = {eng},
number = {4},
pages = {1300-1305},
title = {The Brauer group of desingularization of moduli spaces of vector bundles over a curve},
url = {http://eudml.org/doc/269529},
volume = {10},
year = {2012},
}
TY - JOUR
AU - Indranil Biswas
AU - Amit Hogadi
AU - Yogish Holla
TI - The Brauer group of desingularization of moduli spaces of vector bundles over a curve
JO - Open Mathematics
PY - 2012
VL - 10
IS - 4
SP - 1300
EP - 1305
AB - Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M C (r; L) be the coarse moduli space of semistable vector bundles E over C of rank r with ∧r E = L. We show that the Brauer group of any desingularization of M C(r; L) is trivial.
LA - eng
KW - Semistable bundle; Moduli space; Brauer group; semistable bundle; moduli space
UR - http://eudml.org/doc/269529
ER -
References
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