搜索结果: 1-7 共查到“数学 vanishing theorems”相关记录7条 . 查询时间(0.198 秒)
Effective vanishing theorems for ample and globally generated vector bundles
Effective vanishing theorems ample globally generated vector bundles
2018/4/19
By proving an integral formula of the curvature tensor of E⊗detE, we observe that the curvature of E⊗detE is very similar to that of a line bundle and obtain certain new Kodaira-Akizuki-Na...
Vanishing theorems on (l|k)-strong Kaehler manifolds with torsion
Vanishing theorems (l|k)-strong Kaehler manifolds torsion
2012/3/1
We derive sufficient conditions for the vanishing of plurigenera, $p_m(J), m>0$, on compact (l|k)-strong, $\omega^l\wedge \partial\bar\partial \omega^k=0$, Kaehler manifolds with torsion. In particula...
The main purpose of this article is to define the notion of Du Bois singularities for pairs and proving a vanishing theorem using this new notion. The main vanishing theorem specializes to a new vanis...
Positivity and vanishing theorems of ample vector bundles
Positivity vanishing theorems ample vector bundles
2018/4/19
In this paper, we study the Nakano-positivity and dual-Nakano-positivity of certain adjoint vector bundles associated to ample vector bundles. As applications, we get new vanishing theorems about ampl...
Adiabatic Limits,Vanishing Theorems and the Noncommutative Residues
Foliations adiabatic limits vanishing theorems noncommuta- tive residue
2018/4/20
In this paper, we compute the adiabatic limit of the scalar curvature and prove several vanishing theorems, we also derive a Kastler-Kalau-Walze type theorem for noncommutative residues in the case of...
We use Cox's description for sheaves on toric varieties and results about the local cohomology with respect to monomial ideals to give a characteristic free approach to vanishing results on arbitrary...
We extend our family rigidity and vanishing theorems in [{\bf LiuMaZ}] to the Spin^c case. In particular, we prove a K-theory version of the main results of [{\bf H}], [{\bf Liu1}, Theorem B] for a fa...