Results 21 to 30 of about 799 (89)
The Bergman-Shilov boundary for subfamilies of $q$-plurisubharmonic functions [PDF]
, 2014 We introduce a notion of the Bergman-Shilov (or Shilov) boundary for some subclasses of upper-semicontinuous functions on a compact Hausdorff space. It is by definition the smallest closed subset of the given space on which all functions of that subclass
Thomas Pawlaschyk
semanticscholar +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 +13 more
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Plurisubharmonic functions and convexity properties for general function algebras [PDF]
Transactions of the American Mathematical Society, 1972 A “natural system” consists of a Hausdorff space Σ \Sigma plus an algebra A \mathfrak {A} of complex-valued continuous functions on Σ \Sigma (which contains the constants and determines the topology in Σ \Sigma ) such that every continuous homomorphism of
openaire +1 more source
Injectivity theorem for pseudo-effective line bundles and its applications [PDF]
, 2017 We formulate and establish a generalization of Koll'ar's injectivity theorem for adjoint bundles twisted by a suitable multiplier ideal sheaf. As applications, we generalize Koll'ar's vanishing theorem, Koll'ar's torsion-freeness, generic vanishing ...
Fujino, Osamu, Matsumura, Shin-ichi
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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
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The minimum sets and free boundaries of strictly plurisubharmonic functions [PDF]
, 2016 We study the minimum sets of plurisubharmonic functions with strictly positive Monge-Amp\`ere densities. We investigate the relationship between their Hausdorff dimension and the regularity of the function.
Dinew, Slawomir, Dinew, Zywomir
core +2 more sources
On a generalized Dirichlet problem for plurisubharmonic functions and pseudo-convex domains. Characterization of Šilov boundaries [PDF]
Transactions of the American Mathematical Society, 1959 Enoncé de résultats publiés depuis dans [Trans. Am. Math. Soc. 91, 246--276 (1959; Zbl 0091.07501)].
openaire +3 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
Green functions, Segre numbers, and King's formula [PDF]
, 2013 Let $\mathcal J$ be a coherent ideal sheaf on a complex manifold $X$ with zero set $Z$, and let $G$ be a plurisubharmonic function such that $G=\log|f|+\mathcal O(1)$ locally at $Z$, where $f$ is a tuple of holomorphic functions that defines $\mathcal J$.
M. Andersson, Elizabeth Wulcan
semanticscholar +1 more source