Volume 25, issue 4 (2021)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 26
Issue 2, 477–936
Issue 1, 1–476

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Analytic tangent cones of admissible Hermitian Yang–Mills connections

Xuemiao Chen and Song Sun

Geometry & Topology 25 (2021) 2061–2108
Bibliography
1 S Bando, Y T Siu, Stable sheaves and Einstein–Hermitian metrics, from: "Geometry and analysis on complex manifolds" (editors T Mabuchi, J Noguchi, T Ochiai), World Sci. (1994) 39 MR1463962
2 A L Besse, Einstein manifolds, 10, Springer (1987) MR867684
3 X Chen, S Sun, Singularities of Hermitian–Yang–Mills connections and Harder–Narasimhan–Seshadri filtrations, Duke Math. J. 169 (2020) 2629 MR4149506
4 P Griffiths, J Harris, Principles of algebraic geometry, Wiley (1978) MR507725
5 S Kobayashi, Differential geometry of complex vector bundles, 15, Princeton Univ. Press (1987) MR909698
6 B S Mityagin, The zero set of a real analytic function, Mat. Zametki 107 (2020) 473 MR4070868
7 H Nakajima, Compactness of the moduli space of Yang–Mills connections in higher dimensions, J. Math. Soc. Japan 40 (1988) 383 MR945342
8 C Okonek, M Schneider, H Spindler, Vector bundles on complex projective spaces, 3, Birkhäuser (1980) MR561910
9 P Price, A monotonicity formula for Yang–Mills fields, Manuscripta Math. 43 (1983) 131 MR707042
10 B Shiffman, On the removal of singularities of analytic sets, Michigan Math. J. 15 (1968) 111 MR224865
11 B Sibley, R A Wentworth, Analytic cycles, Bott–Chern forms, and singular sets for the Yang–Mills flow on Kähler manifolds, Adv. Math. 279 (2015) 501 MR3345190
12 G Tian, Gauge theory and calibrated geometry, I, Ann. of Math. 151 (2000) 193 MR1745014
13 K Uhlenbeck, S T Yau, On the existence of Hermitian–Yang–Mills connections in stable vector bundles, Comm. Pure Appl. Math. 39 (1986) MR861491