Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations

DOI10.1215/00127094-2020-0014zbMath1457.14079arXiv1707.08314OpenAlexW2736821241MaRDI QIDQ2217886

Xuemiao Chen, Song Sun

Publication date: 12 January 2021

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08314

zbMATH Keywords

singularitiesreflexive sheavesHermitian-Yang-Mills connectionsHarder-Narasimhan-Seshadri filtrationstangent cones at a singularity

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Complex-analytic moduli problems (32G13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Relationships between algebraic curves and integrable systems (14H70) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Vector bundles on curves and their moduli (14H60)

Related Items

Stability of the tangent bundle through conifold transitions ⋮ The unique tangent cone property for weakly holomorphic maps into projective algebraic varieties ⋮ A Donaldson-Uhlenbeck-Yau theorem for normal varieties and semistable bundles on degenerating families ⋮ Reflexive sheaves, Hermitian-Yang-Mills connections, and tangent cones ⋮ Analytic tangent cones of admissible Hermitian Yang-Mills connections

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