Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Finnur Larusson"'
Autor:
Finnur Lárusson
This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the
Publikováno v:
The Journal of Geometric Analysis. 31:6102-6127
We take the first step in the development of an equivariant version of modern, Gromov-style Oka theory. We define equivariant versions of the standard Oka property, ellipticity, and homotopy Runge property of complex manifolds, show that they satisfy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ce5f028847e49dc1263f1e1f2b20d72
https://doi.org/10.1007/s12220-020-00520-0
https://doi.org/10.1007/s12220-020-00520-0
Autor:
Leandro Arosio, Finnur Larusson
We study the dynamics of a generic endomorphism f of an Oka–Stein manifold X. Such manifolds include all connected linear algebraic groups and, more generally, all Stein homogeneous spaces of complex Lie groups. We give several descriptions of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa5ebcf8cbfab11fcb332100ec20aa2b
http://hdl.handle.net/2108/286053
http://hdl.handle.net/2108/286053
Autor:
Franc Forstneric, Finnur Larusson
Publikováno v:
Mathematische Zeitschrift. 288:643-663
Let M be a connected open Riemann surface. We prove that the space \(\mathscr {L}(M,\mathbb {C}^{2n+1})\) of all holomorphic Legendrian immersions of M to \(\mathbb {C}^{2n+1}\), \(n\ge 1\), endowed with the standard holomorphic contact structure, is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf738bbde5d68f0d656be8e9df7d5ee6
https://doi.org/10.1007/s00209-017-1904-1
https://doi.org/10.1007/s00209-017-1904-1
Autor:
Finnur Larusson, Leandro Arosio
We prove closing lemmas for automorphisms of a Stein manifold with the density property and for endomorphisms of an Oka-Stein manifold. In the former case we need to impose a new tameness condition. It follows that hyperbolic periodic points are dens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::635e999890ca3c8711cbfa003e65f8b4
Autor:
Finnur Larusson, Richard Lärkäng
Publikováno v:
Proceedings of the American Mathematical Society. 144:4613-4626
A complex manifold $Y$ is said to have the interpolation property if a holomorphic map to $Y$ from a subvariety $S$ of a reduced Stein space $X$ has a holomorphic extension to $X$ if it has a continuous extension. Taking $S$ to be a contractible subm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc793f3d0b45b0052270d9f28b05be9f
https://doi.org/10.1090/proc/13108
https://doi.org/10.1090/proc/13108
Autor:
Leandro Arosio, Finnur Larusson
Let X be a Stein manifold of dimension $$n\ge 2$$ satisfying the volume density property with respect to an exact holomorphic volume form. For example, X could be $$\mathbb {C}^n$$ , any connected linear algebraic group that is not reductive, the Kor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f87c04e39b3307c64e9e7c2e96cd65a2
http://arxiv.org/abs/1805.02086
http://arxiv.org/abs/1805.02086
Autor:
Franc Forstneric, Finnur Larusson
We study holomorphic Legendrian curves in the standard complex contact structure on the projectivised cotangent bundle $X=\mathbb P(T^*Z)$ of a complex manifold $Z$ of dimension at least $2$. We provide a detailed analysis of Legendrian curves degene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e240a52b18b9ac718b374c75511d4c65
Autor:
Tuyen Trung Truong, Finnur Larusson
We consider the analogue for regular maps from affine varieties to suitable algebraic manifolds of Oka theory for holomorphic maps from Stein spaces to suitable complex manifolds. The goal is to understand when the obstructions to approximation or in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::413b7b8a29d6205017cc771dab068fad
http://arxiv.org/abs/1706.00519
http://arxiv.org/abs/1706.00519
Autor:
Antonio Alarcón, Finnur Larusson
Let [Formula: see text] be a connected open Riemann surface. Let [Formula: see text] be an Oka domain in the smooth locus of an analytic subvariety of [Formula: see text], [Formula: see text], such that the convex hull of [Formula: see text] is all o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9cadde937384d9f16d2d9a2756d447c
http://arxiv.org/abs/1704.03082
http://arxiv.org/abs/1704.03082