CONSTRUCTING CO-HIGGS BUNDLES ON CP2

DOI10.1093/qmath/hau017zbMath1317.14027arXiv1309.7014OpenAlexW2113184015MaRDI QIDQ2939484

Steven Rayan

Publication date: 22 January 2015

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.7014

zbMATH Keywords

deformation theoryco-Higgs bundlesprojective planSchwarzenberger bundles.

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Fine and coarse moduli spaces (14D22)

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Rank two nilpotent co-Higgs sheaves on complex surfaces ⋮ 25 open questions about vector bundles and their moduli ⋮ Moduli spaces of \(\Lambda\)-modules on abelian varieties ⋮ A Kobayashi-Hitchin correspondence for \(I_{\pm}\)-holomorphic bundles ⋮ Existence of nontrivial logarithmic co-Higgs structure on curves ⋮ Generalized holomorphic structures ⋮ Logarithmic co-Higgs bundles ⋮ Homogeneous Higgs and co-Higgs bundles on Hermitian symmetric spaces ⋮ 2-nilpotent co-Higgs structures ⋮ A vanishing theorem for co-Higgs bundles on the moduli space of bundles ⋮ A note on co-Higgs bundles ⋮ Balanced metrics on twisted Higgs bundles ⋮ Canonical metrics on holomorphic bundles over compact bi-Hermitian manifolds ⋮ Toric co-Higgs sheaves ⋮ Twisted cyclic quiver varieties on curves ⋮ Toric co-Higgs bundles on toric varieties ⋮ Principal co-Higgs bundles on ℙ¹ ⋮ Rational Morita equivalence for holomorphic Poisson modules

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