Abstract
In this article, we introduce a notion of logarithmic co-Higgs sheaves associated with a simple normal crossing divisor on a projective manifold and show their existence with nilpotent co-Higgs fields for fixed ranks and second Chern classes. Then, we deal with various moduli problems involving logarithmic co-Higgs sheaves, such as coherent systems and holomorphic triples, specially over algebraic curves of low genus.
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The first author is partially supported by GNSAGA of INDAM (Italy) and MIUR PRIN 2015 ‘Geometria delle varietà algebriche’. The second author is supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2018R1C1A6004285 and No. 2016R1A5A1008055).
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Ballico, E., Huh, S. Logarithmic Co-Higgs Bundles. Mediterr. J. Math. 16, 9 (2019). https://doi.org/10.1007/s00009-018-1293-7
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DOI: https://doi.org/10.1007/s00009-018-1293-7