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of 76
pro vyhledávání: '"32C20"'
On a two dimensional Stein space with isolated, normal singularities, smooth finite type boundary, and locally algebraic Bergman kernel, we establish an estimate on the type of the boundary in terms of the local algebraic degree of the Bergman kernel
Externí odkaz:
http://arxiv.org/abs/2408.13989
Publikováno v:
Rev. Roumaine Math. Pures Appl. 69 (2024), 3-4, 433-444
We prove that the Fubini-Study currents associated to a sequence of singular Hermitian holomorphic line bundles on a compact normal Moishezon space distribute asymptotically as the curvature currents of their metrics.
Comment: 10 pages; v.2 is a
Comment: 10 pages; v.2 is a
Externí odkaz:
http://arxiv.org/abs/2407.03193
Let $X$ be a compact normal complex space, $L$ be a big holomorphic line bundle on $X$ and $h$ be a continuous Hermitian metric on $L$. We consider the spaces of holomorphic sections $H^0(X, L^{\otimes p})$ endowed with the inner product induced by $
Externí odkaz:
http://arxiv.org/abs/2404.08116
Autor:
Joiţa, Cezar, Tibăr, Mihai
The image of a holomorphic map germ is not necessarily locally open, and it is not always well-defined as a set germ. We find the structure of what becomes the image of a map germ when the target is a surface. We encode it as a decorated tree and we
Externí odkaz:
http://arxiv.org/abs/2403.09844
Let $X$ be a compact normal complex space of dimension $n$ and $L$ be a holomorphic line bundle on $X$. Suppose that $\Sigma=(\Sigma_1,\ldots,\Sigma_\ell)$ is an $\ell$-tuple of distinct irreducible proper analytic subsets of $X$, $\tau=(\tau_1,\ldot
Externí odkaz:
http://arxiv.org/abs/2310.04770
In the first half of twentieth century the theory of complex analytic functions and of their zerosets was fully developed. The definition of holomorphic function has a local nature. Germs of holomorphic functions form a distinguished subring of the r
Externí odkaz:
http://arxiv.org/abs/2104.12595
Autor:
Das, Nilkantha
We prove that a quasi-finite endomorphism of an algebraic variety over an algebraically closed field of characteristic zero, that is injective on the complement of a closed subvariety, is an automorphism. We also prove that an endomorphism of complex
Externí odkaz:
http://arxiv.org/abs/2103.17130
Autor:
Kwessi, Eddy, de Souza, Geraldo
Special atom spaces have been around for quite awhile since the introduction of atoms by R. Coifman in his seminal paper who led to another proof that the dual of the Hardy space $H^1$ is in fact the space of functions of bounded means oscillations (
Externí odkaz:
http://arxiv.org/abs/2102.02742
In this work we study some algebraic and topological properties of the ring ${\mathcal O}(X^\nu)$ of global analytic functions of the normalization $(X^\nu,{\mathcal O}_{X^\nu})$ of a reduced complex analytic space $(X,{\mathcal O}_X)$. If $(X,{\math
Externí odkaz:
http://arxiv.org/abs/1710.03497
Publikováno v:
Trans. Amer. Math. Soc. 373 (2020), no. 6, 3765-3791
In this work we prove an universality result regarding the equidistribution of zeros of random holomorphic sections associated to a sequence of singular Hermitian holomorphic line bundles on a compact K\"ahler complex space $X$. Namely, under mild mo
Externí odkaz:
http://arxiv.org/abs/1709.10346