Results 31 to 40 of about 206 (42)
Generation of vector bundles computing Clifford indices [PDF]
arXiv, 2009 Clifford indices for semistable vector bundles on a smooth projective curve of genus at least 4 were defined in a previous paper of the authors. The present paper studies bundles which compute these Clifford indices. We show that under certain conditions on the curve all such bundles and their Serre duals are generated.
arxiv
Lower bounds for Clifford indices in rank three [PDF]
arXiv, 2009 Clifford indices for semistable vector bundles on a smooth projective curve of genus at least 4 were defined in previous papers of the authors. In the present paper, we establish lower bounds for the Clifford indices for rank 3 bundles. As a consequence we show that, on smooth plane curves of degree at least 10, there exist non-generated bundles of ...
arxiv
Vanishing Theorems on Compact Hyperkähler Manifolds [PDF]
arXiv, 2010 We prove that if $B$ is a $k$-positive holomorphic line bundle on a compact hyperk\"ahler manifold $M,$ then $H^p (M,\Omega^q\otimes B)=0$ for $p>n+[\frac{k}{2}]$ and any nonnegative integer $q.$ In a special case $k=0$ and $q=0$ we recover a vanishing theorem of Verbitsky's with a little stronger assumption.
arxiv
Plurisubharmonic domination in Banach spaces [PDF]
arXiv, 2010 We show that if $X$ is a Banach space with a Schauder basis, $\Omega\subset X$ is a pseudoconvex open subset, and $u:\,\Omega\to(-\infty,\infty)$ is a locally bounded function, then there are a Banach space $Z$ and a holomorphic function $h:\,\Omega\to Z$ with $u(x)<\|h(x)\|$ for all $x\in\Omega$.
arxiv
Hyperelliptic curves and Hitchin tangential covers [PDF]
arXiv, 2011 In \cite{kim11} we have generalized a tangency condition in the Treibich-Verdier theory \cite{trei89,tv90,trei97} about elliptic solitons to a Hitchin system. As an application of this generalization, we will define, so-called, Hitchin hyperelliptic tangential covers and show the finiteness of them among all Hitchin tangential covers.
arxiv
A duality for the double fibration transform [PDF]
arXiv, 2012 We establish a duality within the spectral sequence that governs the holomorphic double fibration transform. It has immediate application to the questions of injectivity and range characterization for this transform. We discuss some key examples and an improved duality that holds in the Hermitian holomorphic case.
arxiv
Curvature of fields of quantum Hilbert spaces [PDF]
arXiv, 2012 We show that using the family of adapted K\"ahler polarizations of the phase space of a compact, simply connected, Riemannian symmetric space of rank-1, the obtained field $H^{corr}$ of quantum Hilbert spaces produced by geometric quantization including the half-form correction is flat if $M$ is the 3-dimensional sphere and not even projectively flat ...
arxiv
Hole probabilities of random zeros on compact Riemann surfaces [PDF]
arXivWe establish a convergence speed estimate for hole probabilities of zeros of random holomorphic sections on compact Riemann surfaces.
arxiv
Triazole-Linked Glycolipids Enhance the Susceptibility of MRSA to β-Lactam Antibiotics. [PDF]
ACS Med Chem Lett, 2015 Hu XL +6 more
europepmc +1 more source
On localization in holomorphic equivariant cohomology
Open Mathematics, 2012 Bruzzo Ugo, Rubtsov Vladimir
doaj +1 more source