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Two-dimensional moduli spaces of vector bundles over Kodaira surfaces

Authors :
Marian Aprodu
Matei Toma
Ruxandra Moraru
'Simion Stoilow' Institute of Mathematics (IMAR)
Romanian Academy of Sciences
Institut Élie Cartan de Nancy (IECN)
Institut National de Recherche en Informatique et en Automatique (Inria)-Université Henri Poincaré - Nancy 1 (UHP)-Université Nancy 2-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS)
Source :
Advances in Mathematics, Advances in Mathematics, Elsevier, 2012, ⟨10.1016/j.aim.2012.06.024⟩, Advances in Mathematics, 2012, ⟨10.1016/j.aim.2012.06.024⟩
Publication Year :
2012

Abstract

We prove that any two-dimensional moduli space of stable 2-vector bundles, in the non-filtrable range, on a primary Kodaira surface is a primary Kodaira surface. If a universal bundle exists, then the two surfaces are homeomorphic up to unramified covers.<br />Advances in Mathematics, accepted

Details

Language :
English
ISSN :
00018708 and 10902082
Database :
OpenAIRE
Journal :
Advances in Mathematics, Advances in Mathematics, Elsevier, 2012, ⟨10.1016/j.aim.2012.06.024⟩, Advances in Mathematics, 2012, ⟨10.1016/j.aim.2012.06.024⟩
Accession number :
edsair.doi.dedup.....dcc5a9a3dfff7c8a62f798163b85b519
Full Text :
https://doi.org/10.1016/j.aim.2012.06.024⟩