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Volume 29, Issue 3
Semi-stability for Holomorphic Bundles with Global Sections

Chuanjing Zhang

DOI: 10.4208/jpde.v29.n3.4

J. Part. Diff. Eq., 29 (2016), pp. 204-217.

Published online: 2016-09

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  • Abstract
In this paper, we establish a generalized Hitchin-Kobayashi correspondence between the τ-semi-stability and the existence of approximate τ-Hermitian-Einstein structure on holomorphic pair (E,Φ). As an application, we obtain the Bogomolov type inequality for τ-semi-stable holomorphic pair.
  • Keywords

τ-semi-stable approximate τ-Hermitian-Einstein structure holomorphic pair

  • AMS Subject Headings

53C07, 53C55

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

chjzhang@mail.ustc.edu.cn (Chuanjing Zhang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-29-204, author = {Zhang , Chuanjing}, title = {Semi-stability for Holomorphic Bundles with Global Sections}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {3}, pages = {204--217}, abstract = { In this paper, we establish a generalized Hitchin-Kobayashi correspondence between the τ-semi-stability and the existence of approximate τ-Hermitian-Einstein structure on holomorphic pair (E,Φ). As an application, we obtain the Bogomolov type inequality for τ-semi-stable holomorphic pair.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n3.4}, url = {http://global-sci.org/intro/article_detail/jpde/5089.html} }
TY - JOUR T1 - Semi-stability for Holomorphic Bundles with Global Sections AU - Zhang , Chuanjing JO - Journal of Partial Differential Equations VL - 3 SP - 204 EP - 217 PY - 2016 DA - 2016/09 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n3.4 UR - https://global-sci.org/intro/article_detail/jpde/5089.html KW - τ-semi-stable KW - approximate τ-Hermitian-Einstein structure KW - holomorphic pair AB - In this paper, we establish a generalized Hitchin-Kobayashi correspondence between the τ-semi-stability and the existence of approximate τ-Hermitian-Einstein structure on holomorphic pair (E,Φ). As an application, we obtain the Bogomolov type inequality for τ-semi-stable holomorphic pair.
Chuanjing Zhang. (2019). Semi-stability for Holomorphic Bundles with Global Sections. Journal of Partial Differential Equations. 29 (3). 204-217. doi:10.4208/jpde.v29.n3.4
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