Quot-scheme limit of Fubini-Study metrics and Donaldson's functional for vector bundles
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[1] Karen K. Uhlenbeck,et al. On the existence of hermitian‐yang‐mills connections in stable vector bundles , 1986 .
[2] X. Ma,et al. Holomorphic Morse Inequalities and Bergman Kernels , 2007 .
[3] D. Huybrechts,et al. The geometry of moduli spaces of sheaves , 1997 .
[4] Adam Jacob. The Yang-Mills flow and the Atiyah-Bott formula on compact Kähler manifolds , 2011, 1109.1550.
[5] Xiaowei Wang. Canonical metrics on stable vector bundles , 2005 .
[6] C. Simpson. Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization , 1988 .
[7] J. Ross,et al. Quantization of Hitchin's equations for Higgs Bundles I , 2016, 1601.04960.
[8] S. Donaldson. Infinite determinants, stable bundles and curvature , 1987 .
[9] Adam Jacob. The limit of the Yang-Mills flow on semi-stable bundles , 2011, 1104.4767.
[10] Convergence properties of the Yang-Mills flow on Kaehler surfaces , 2004, math/0410055.
[11] M. Jonsson,et al. Uniform K-stability, Duistermaat-Heckman measures and singularities of pairs , 2015, 1504.06568.
[12] Lower bounds on the Calabi functional , 2005, math/0506501.
[13] M. Lübke. Stability of Einstein-Hermitian vector bundles , 1983 .
[14] Julien Keller,et al. A variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics , 2019, 1907.05770.
[15] Xiaowei Wang. Balance point and Stability of Vector Bundles Over a Projective Manifold , 2002 .
[16] A. Teleman,et al. The Kobayashi-Hitchin correspondence , 1995 .
[17] Julien Keller,et al. Quot-scheme limit of Fubini-Study metrics and its applications to balanced metrics , 2021, 2101.00996.
[18] DELIGNE PAIRINGS AND THE KNUDSEN-MUMFORD EXPANSION , 2006, math/0612555.
[19] S. Donaldson,et al. A new proof of a theorem of Narasimhan and Seshadri , 1983 .
[20] S. Boucksom. VARIATIONAL AND NON-ARCHIMEDEAN ASPECTS OF THE YAU–TIAN–DONALDSON CONJECTURE , 2018, Proceedings of the International Congress of Mathematicians (ICM 2018).
[21] Notes on GIT and symplectic reduction for bundles and varieties , 2005, math/0512411.
[22] Y. Siu. Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics: Delivered At The German Mathematical Society Seminar In Düsseldorf In June, 1986 , 1987 .
[23] D. Catlin. The Bergman Kernel and a Theorem of Tian , 1999 .
[24] D. Phong,et al. Stability, energy functionals, and Kahler-Einstein metrics , 2002, math/0203254.
[25] D. Mumford,et al. The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div". , 1976 .
[26] R. Berman,et al. Regularity of weak minimizers of the K-energy and applications to properness and K-stability , 2016, Annales scientifiques de l'École normale supérieure.
[27] Adam Jacob. Existence of approximate Hermitian-Einstein structures on semi-stable bundles , 2010, 1012.1888.
[28] P. J. Cohen. A SIMPLE PROOF OF THE THEOREM OF , 2007 .
[29] R. Wentworth,et al. Analytic cycles, Bott-Chern forms, and singular sets for the Yang-Mills flow on Kaehler manifolds , 2014, 1402.3808.
[30] Raoul Bott,et al. The Yang-Mills equations over Riemann surfaces , 1983, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[31] Zakarias Sjöström Dyrefelt. K-Semistability of cscK Manifolds with Transcendental Cohomology Class , 2017, The Journal of Geometric Analysis.
[32] Florent Schaffhauser. Differential geometry of holomorphic vector bundles on a curve , 2015, 1509.01734.
[33] S. Donaldson. Anti Self‐Dual Yang‐Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles , 1985 .
[34] M. Jonsson,et al. Uniform K-stability and asymptotics of energy functionals in Kähler geometry , 2016, Journal of the European Mathematical Society.
[35] F. Knudsen,et al. Projectivity of the moduli space of stable curves , 1976 .
[36] M. Jonsson,et al. A variational approach to the Yau–Tian–Donaldson conjecture , 2015, Journal of the American Mathematical Society.