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Deformations of Complex Spaces
Russian Mathematical Surveys, 1976The origin of deformation theory lies in the problem of moduli, first considered by Riemann. The problem in the theory of moduli can be described thus: to bring together all objects of a single type in analytic geometry, for example, all Riemann surfaces of given genus; to organize them by joining them into a fiber space; to describe the base of this ...
V. Palamodov
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2015
I give a thorough introduction to the global theory of, possibly singular, symplectic complex spaces. The spaces are assumed to be of Kahler type for the most part. My presentation focuses on the study of proper and flat deformations. The corresponding local theory of symplectic singularities is hardly touched upon.
Tim Kirschner
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I give a thorough introduction to the global theory of, possibly singular, symplectic complex spaces. The spaces are assumed to be of Kahler type for the most part. My presentation focuses on the study of proper and flat deformations. The corresponding local theory of symplectic singularities is hardly touched upon.
Tim Kirschner
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1994
Section 1 deals with the notion of analytically branched coverings. The main theorem states that analytically branched coverings are normal complex spaces. Its proof makes use of L2-methods as developed by Hormander, and is sketched in § 2. In § 3 some applications are given, some of which are used in § 7.
G. Dethloff, H. Grauert
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Section 1 deals with the notion of analytically branched coverings. The main theorem states that analytically branched coverings are normal complex spaces. Its proof makes use of L2-methods as developed by Hormander, and is sketched in § 2. In § 3 some applications are given, some of which are used in § 7.
G. Dethloff, H. Grauert
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A non-Archimedean theory of complex spaces and the cscK problem
Advances in MathematicsIn this paper we develop an analogue of the Berkovich analytification for non-necessarily algebraic complex spaces. We apply this theory to generalize to arbitrary compact K\"ahler manifolds a result of Chi Li, proving that a stronger version of K ...
Pietro Mesquita-Piccione
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Complex Spaces with Singularities
The Annals of Mathematics, 1953In the case of one complex variable if a Riemann surface A is spread out over a Riemann surface B and A has (isolated) ramification points of the familiar kind, then by adding such points to A the local Euclidean character is preserved and the analytic structure can be then adjusted so as to absorb the ramification points conformally as well.
Bochner, Salomon, Martin, W. T.
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Recurrence plots for the analysis of complex systems
Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system’s behaviour in phase space.A powerful tool for their visualisation and analysis called recurrence plotwas introduced in the late 1980’s.
N. Marwan +3 more
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1997
A real matrix has real coefficients in its characteristic polynomial, but the eigenvalues may fail to be real. For instance, the matrix \(A = \left[ {\begin{array}{*{20}{l}} 1&{ - 1} \\ 1&1 \end{array}} \right]\) has no real eigenvalues, but it has the complex eigenvalues λ= 1 ± i. Thus, it is indispensable to work with complex numbers to find the full
Jin Ho Kwak, Sungpyo Hong
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A real matrix has real coefficients in its characteristic polynomial, but the eigenvalues may fail to be real. For instance, the matrix \(A = \left[ {\begin{array}{*{20}{l}} 1&{ - 1} \\ 1&1 \end{array}} \right]\) has no real eigenvalues, but it has the complex eigenvalues λ= 1 ± i. Thus, it is indispensable to work with complex numbers to find the full
Jin Ho Kwak, Sungpyo Hong
openaire +1 more source