Results 11 to 20 of about 630 (56)

Thurston norm and Euler classes of tight contact structures

Bulletin of the London Mathematical Society, Volume 55, Issue 6, Page 2976-2990, December 2023., 2023
Abstract Bill Thurston proved that taut foliations of hyperbolic 3‐manifolds have Euler classes of norm at most one, and conjectured that any integral second cohomology class of norm equal to one is realized as the Euler class of some taut foliation.
Steven Sivek, Mehdi Yazdi
wiley   +1 more source

On subvarieties of singular quotients of bounded domains

Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3208-3239, December 2022., 2022
Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel, Simone Diverio, Henri Guenancia   +2 more
wiley   +1 more source

Boundedness and Compactness of Hankel Operators on Large Fock Space

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
We introduce the BMO spaces and use them to characterize complex‐valued functions f such that the big Hankel operators Hf and Hf¯ are both bounded or compact from a weighted large Fock space Fp(ϕ) into a weighted Lebesgue space Lp(ϕ) when 1 ≤ p < ∞.
Xiaofeng Wang, Zhicheng Zeng, Paola Rubbioni   +2 more
wiley   +1 more source

The Weil–Petersson current on Douady spaces

Mathematische Nachrichten, Volume 294, Issue 4, Page 638-656, April 2021., 2021
Abstract The Douady space of compact subvarieties of a Kähler manifold is equipped with the Weil–Petersson current, which is everywhere positive with local continuous potentials, and of class C∞ when restricted to the locus of smooth fibers. There a Quillen metric is known to exist, whose Chern form is equal to the Weil–Petersson form. In the algebraic
Reynir Axelsson, Georg Schumacher
wiley   +1 more source

The openness conjecture and complex Brunn-Minkowski inequalities [PDF]

, 2014
We discuss recent versions of the Brunn-Minkowski inequality in the complex setting, and use it to prove the openness conjecture of Demailly and Koll\'ar.Comment: This is an account of the results in arXiv:1305.5781 together with some background ...
B. Berndtsson, B. Berndtsson, B. Berndtsson, B. Berndtsson, C. Favre, C.O. Kiselman, D. Cordero-Erausquin, H.J. Brascamp, J.-P. Demailly, L. Hörmander, M. Reed, Q. Guan, R. Berman, R.J. Gardner   +13 more
core   +1 more source

A note on complex-hyperbolic Kleinian groups [PDF]

, 2020
Let $\Gamma$ be a discrete group of isometries acting on the complex hyperbolic $n$-space $\mathbb{H}^n_\mathbb{C}$. In this note, we prove that if $\Gamma$ is convex-cocompact, torsion-free, and the critical exponent $\delta(\Gamma)$ is strictly lesser ...
Dey, Subhadip, Kapovich, Michael
core   +2 more sources

Toric plurisubharmonic functions and analytic adjoint ideal sheaves [PDF]

, 2011
In the first part of this paper, we study the properties of some particular plurisubharmonic functions, namely the toric ones. The main result of this part is a precise description of their multiplier ideal sheaves, which generalizes the algebraic case ...
Guenancia, Henri
core   +1 more source

Canonical complex extensions of Kähler manifolds

Journal of the London Mathematical Society, Volume 101, Issue 2, Page 786-827, April 2020., 2020
Abstract Given a complex manifold X, any Kähler class defines an affine bundle over X, and any Kähler form in the given class defines a totally real embedding of X into this affine bundle. We formulate conditions under which the affine bundles arising this way are Stein and relate this question to other natural positivity conditions on the tangent ...
Daniel Greb, Michael Lennox Wong
wiley   +1 more source