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Toric co-higgs bundles on toric varieties
Biswas I., , Poddar M., Rayan S.
Published in
Volume: 65
Issue: 1
Pages: 181 - 190
Starting from the data of a nonsingular complex projective toric variety, we define an associated notion of toric co-Higgs bundle. We provide a Lie-theoretic classification of these objects by studying the interaction between Klyachko’s fan filtration and the fiber of the co-Higgs bundle at a closed point in the open orbit of the torus action. This can be interpreted, under certain conditions, as the construction of a coarse moduli scheme of toric co-Higgs bundles of any rank and with any total equivariant Chern class. © 2021 by the University of Illinois at Urbana–Champaign.
About the journal
JournalIllinois Journal of Mathematics
Open AccessNo