Results 11 to 20 of about 206 (42)

Positivity of Schur forms for strongly decomposably positive vector bundles

Forum of Mathematics, Sigma
In this paper, we define two types of strongly decomposable positivity, which serve as generalizations of (dual) Nakano positivity and are stronger than the decomposable positivity introduced by S. Finski.
Xueyuan Wan
doaj   +1 more source

Invariant divisors and equivariant line bundles

Forum of Mathematics, Sigma
Scalar relative invariants play an important role in the theory of group actions on a manifold as their zero sets are invariant hypersurfaces. Relative invariants are central in many applications, where they often are treated locally since an invariant ...
Boris Kruglikov, Eivind Schneider
doaj   +1 more source

A Dolbeault Isomorphism Theorem in Infinite Dimensions [PDF]

arXiv, 2005
For a large class of separable Banach spaces, we prove the real analytic Dolbeault Isomorphism Theorem for open subsets.
arxiv  

Clifford's theorem for coherent systems [PDF]

arXiv, 2007
Final version to appear in Archiv der Mathematik.
arxiv  

A maximum principle for hermitian (and other) metrics [PDF]

arXiv, 2013
We consider homomorphisms of hermitian holomorphic Hilbert bundles. Assuming the homomorphism decreases curvature, we prove that its pointwise norm is plurisubharmonic.
arxiv  

Kollár--Nadel type vanishing theorem [PDF]

arXiv, 2016
We prove an analytic generalization of Koll\'ar's vanishing theorem, which contains the Nadel vanishing theorem as a special case.
arxiv  

On the obstructions of deforming vector forms [PDF]

arXiv, 2019
In this note, we show that the obstruction classes of deforming vector forms on a compact K\"ahler manifold is annihilated by cohomology classes.
arxiv  

A note on the CR cohomology of Levi-Flat minimal orbits in complex flag manifolds [PDF]

Rend. Ist. Mat. Univ. Trieste 37, No. 1-2, 283-293 (2005), 2006
We prove a relation between the $\bar\partial_M$ cohomology of a minimal orbit $M$ of a real form $G_0$ of a complex semisimple Lie group $G$ in a flag manifold $G/Q$ and the Dolbeault cohomology of the Matsuki dual open orbit $X$ of the complexification $K$ of a maximal compact subgroup $K_0$ of $G_0$, under the assumption that $M$ is Levi-flat.
arxiv  

Attracting divisors on projective algebraic varieties [PDF]

Ann. Polon. Math. 91 , 2007, no. 2-3, 2006
We obtain sufficient and necessary conditions (in terms of positive singular metrics on an associated line bundle) for a positive divisor $D$ on a projective algebraic variety $X$ to be attracting for a holomorphic map $f:X \mapsto X$.
arxiv  

Cohomology of semi 1-coronae and extension of analytic subsets [PDF]

arXiv, 2007
We generalize some of the results in [arXiv: math.CV/0503430], and prove a bump-lemma for closed sets in semi 1-coronae. From this we obtain some finite cohomology results and an extension theorem for analytic subsets in 1-coronae.
arxiv