Semistable Higgs bundles on elliptic surfaces

DOI10.1515/advgeom-2021-0043zbMath1487.14080arXiv2008.08340OpenAlexW3063130625MaRDI QIDQ2127856

Vitantonio Peragine, Ugo Bruzzo

Publication date: 21 April 2022

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08340

zbMATH Keywords

elliptic surfacessemistable Higgs sheavescurve semistability

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Vector bundles on curves and their moduli (14H60)

Related Items

Stable vector bundles on the families of curves ⋮ On a conjecture about Higgs bundles and some inequalities ⋮ Moduli of rank 2 Higgs sheaves on elliptic surfaces

Cites Work

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• Restricting Higgs bundles to curves
• Semistable and numerically effective principal (Higgs) bundles
• Semistable sheaves on projective varieties and their restriction to curves
• Higgs bundles and local systems
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Algebraic surfaces and holomorphic vector bundles
• Bogomolov's inequality for Higgs sheaves in positive characteristic
• Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles
• Semistable Higgs bundles on Calabi-Yau manifolds
• Higgs bundles over elliptic curves
• Semistability vs. nefness for (Higgs) vector bundles
• Vector Bundles Over an Elliptic Curve
• Moduli Space of Semistable Pairs on a Curve
• The Self-Duality Equations on a Riemann Surface
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES
• Vector Bundles over Elliptic Fibrations
• Metrics on semistable and numerically effective Higgs bundles