Zobrazeno 1 - 10
of 19
pro vyhledávání: '"53C07, 14J60"'
This paper first investigates solvability of Hermitian-Einstein equation on a Hermitian holomorphic vector bundle on the complement of an arbitrary closed subset in a compact Hermitian manifold. The uniqueness of Hermitian-Einstein metrics on a Zaris
Externí odkaz:
http://arxiv.org/abs/2406.11449
Autor:
Ono, Takashi
We study harmonic bundles with an additional structure called symplectic structure. We study them for the case of the base manifold is compact and non-compact. For the compact case, we show that a harmonic bundle with a symplectic structure is equiva
Externí odkaz:
http://arxiv.org/abs/2403.15719
Autor:
Chen, Xuemiao
In this paper, we first prove a complete version of the Donaldson-Uhlenbeck-Yau theorem over normal varieties, including normal Kaehler varieties and projective normal varieties with multiple polarizations. In particular, this gives the polystability
Externí odkaz:
http://arxiv.org/abs/2205.12305
In this paper, we use Uhlenbeck-Yau's continuity method to establish the correspondence between the mean curvature positivity and the HN-positivity on holomorphic vector bundles over compact Hermitian manifolds. As its application, we get a different
Externí odkaz:
http://arxiv.org/abs/2112.00488
Autor:
Chen, Xuemiao, Wentworth, Richard A.
In this paper, we first prove a Donaldson-Uhlenbeck-Yau theorem over projective normal varieties smooth in codimension two. As a consequence we deduce the polystability of (dual) tensor products of stable reflexive sheaves, and we give a new proof of
Externí odkaz:
http://arxiv.org/abs/2108.06741
Autor:
Chen, Xuemiao, Wentworth, Richard A.
This paper extends the nonabelian Hodge correspondence for Kaehler manifolds to a larger class of hermitian metrics on complex manifolds called balanced of Hodge-Riemann type. Essentially, it grows out of a few key observations so that the known resu
Externí odkaz:
http://arxiv.org/abs/2106.09133
Publikováno v:
Mathematical Research Letters 25.5 (2018) pp. 1429-1445
We give a simple direct proof of uniqueness of tangent cones for singular projectively Hermitian Yang-Mills connections on reflexive sheaves at isolated singularities modelled on $\mu$-polystable holomorphic bundles over $\mathbf{P}^{n-1}$.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/1610.08283
Hermitian Yang-Mills metrics on reflexive sheaves over asymptotically cylindrical K\'ahler manifolds
Autor:
Jacob, Adam, Walpuski, Thomas
Publikováno v:
Communications in Partial Differential Equations 43.11 (2019) pp. 1566-1598
We prove an analogue of the Donaldson-Uhlenbeck-Yau theorem for asymptotically cylindrical K\"ahler manifolds: If $\mathscr{E}$ is a reflexive sheaf over an ACyl K\"ahler manifold, which is asymptotic to a $\mu$-stable holomorphic vector bundle, then
Externí odkaz:
http://arxiv.org/abs/1603.07702
Autor:
Mochizuki, Takuro
Publikováno v:
Geom. Topol. 18 (2014) 2823-2949
We study the asymptotic behaviour of doubly periodic instantons with square-integrable curvature. Then, we establish the equivalence given by the Nahm transform between the doubly periodic instantons with square integrable curvature and the wild harm
Externí odkaz:
http://arxiv.org/abs/1303.2394
Autor:
Owens, Brendan
Publikováno v:
Geom. Topol. 5 (2001) 761-797
Let Sigma be a smooth complex curve, and let S be the product ruled surface Sigma \times CP^1. We prove a correspondence conjectured by Donaldson between finite energy U(2)-instantons over the cylinder Sigma \times S^1 \times R, and rank 2 holomorphi
Externí odkaz:
http://arxiv.org/abs/math/0010106