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1. Mixed Twistor D-modules. 1st ed. 2015
by Takuro Mochizuki
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2125
オンライン: http://dx.doi.org/10.1007/978-3-319-10088-3
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Introduction
Preliminary
Canonical prolongations
Gluing and specialization of r-triples
Gluing of good-KMS r-triples
Preliminary for relative monodromy filtrations
Mixed twistor D-modules
Infinitesimal mixed twistor modules
Admissible mixed twistor structure and variants
Good mixed twistor D-modules
Some basic property
Dual and real structure of mixed twistor D-modules
Derived category of algebraic mixed twistor D-modules
Good systems of ramified irregular values
Introduction
Preliminary
Canonical prolongations
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2. Period Mappings with Applications to Symplectic Complex Spaces. 1st ed. 2015
by Tim Kirschner
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2140
オンライン: http://dx.doi.org/10.1007/978-3-319-17521-8
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3. Cohomological Aspects in Complex Non-Kähler Geometry
by Daniele Angella
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2095
オンライン: http://dx.doi.org/10.1007/978-3-319-02441-7
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Preliminaries on (almost-) complex manifolds
Cohomology of complex manifolds
Cohomology of nilmanifolds
Cohomology of almost-complex manifolds
References
Preliminaries on (almost-) complex manifolds
Cohomology of complex manifolds
Cohomology of nilmanifolds
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4. An Introduction to the Kähler-Ricci Flow
edited by Sebastien Boucksom, Philippe Eyssidieux, Vincent Guedj
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2086
オンライン: http://dx.doi.org/10.1007/978-3-319-00819-6
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The (real) theory of fully non linear parabolic equations
The KRF on positive Kodaira dimension Kähler manifolds
The normalized Kähler-Ricci flow on Fano manifolds
Bibliography
The (real) theory of fully non linear parabolic equations
The KRF on positive Kodaira dimension Kähler manifolds
The normalized Kähler-Ricci flow on Fano manifolds
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5. Introduction to Stokes Structures
by Claude Sabbah
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2060
オンライン: http://dx.doi.org/10.1007/978-3-642-31695-1
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6. Pluripotential Theory : Cetraro, Italy 2011, Editors: Filippo Bracci, John Erik Fornæss
by Giorgio Patrizio, Zbigniew Błocki, Francois Berteloot, Jean Pierre Demailly
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2075
オンライン: http://dx.doi.org/10.1007/978-3-642-36421-1
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On Bifurcation Currents in Holomorphic Families of Rational maps
The Complex Monge–Ampère Equation in Kähler Geometry
Applications of Pluripotential Theory to Algebraic Geometry
Pluripotential Theory and Monge–Ampère Foliations
On Bifurcation Currents in Holomorphic Families of Rational maps
The Complex Monge–Ampère Equation in Kähler Geometry
Applications of Pluripotential Theory to Algebraic Geometry
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7. Milnor Fiber Boundary of a Non-isolated Surface Singularity
by András Némethi, Ágnes Szilárd
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Lecture Notes in Mathematics ; 2037
オンライン: http://dx.doi.org/10.1007/978-3-642-23647-1
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1 Introduction
2 The topology of a hypersurface germ f in three variables Milnor fiber
3 The topology of a pair (f ; g)
4 Plumbing graphs and oriented plumbed 3-manifolds
5 Cyclic coverings of graphs
6 The graph GC of a pair (f ; g). The definition
7 The graph GC . Properties
8 Examples. Homogeneous singularities
9 Examples. Families associated with plane curve singularities
10 The Main Algorithm
11 Proof of the Main Algorithm
12 The Collapsing Main Algorithm
13 Vertical/horizontal monodromies
14 The algebraic monodromy of H1(¶ F). Starting point
15 The ranks of H1(¶ F) and H1(¶ F nVg) via plumbing
16 The characteristic polynomial of ¶ F via P# and P#
18 The mixed Hodge structure of H1(¶ F)
19 Homogeneous singularities
20 Cylinders of plane curve singularities: f = f 0(x;y)
21 Germs f of type z f 0(x;y)
22 The T;;–family
23 Germs f of type ˜ f (xayb; z). Suspensions
24 Peculiar structures on ¶ F. Topics for future research
25 List of examples
26 List of notations
1 Introduction
2 The topology of a hypersurface germ f in three variables Milnor fiber
3 The topology of a pair (f ; g)
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8. Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics
edited by Vincent Guedj
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Lecture Notes in Mathematics ; 2038
オンライン: http://dx.doi.org/10.1007/978-3-642-23669-3
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1.Introduction
I. The Local Homogenious Dirichlet Problem.-2. Dirichlet Problem in Domains of Cn
3. Geometric Maximality
II. Stochastic Analysis for the Monge-Ampère Equation
4. Probabilistic Approach to Regularity
III. Monge-Ampère Equations on Compact Manifolds
5.The Calabi-Yau Theorem
IV Geodesics in the Space of Kähler Metrics
6. The Riemannian Space of Kähler Metrics
7. MA Equations on Manifolds with Boundary
8. Bergman Geodesics
1.Introduction
I. The Local Homogenious Dirichlet Problem.-2. Dirichlet Problem in Domains of Cn
3. Geometric Maximality
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9. Spherical Tube Hypersurfaces
by Alexander Isaev
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2020
オンライン: http://dx.doi.org/10.1007/978-3-642-19783-3
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10. Holomorphic Dynamical Systems : Cetraro, Italy, July 7-12, 2008
by Marco Abate, Eric Bedford, Marco Brunella, Tien-Cuong Dinh, Dierk Schleicher, Nessim Sibony ; edited by Graziano Gentili, Jacques Guenot, Giorgio Patrizio
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010
シリーズ名: Lecture Notes in Mathematics ; 1998
オンライン: http://dx.doi.org/10.1007/978-3-642-13171-4
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Discrete Holomorphic Local Dynamical Systems
Dynamics of Rational Surface Automorphisms
Uniformisation of Foliations by Curves
Dynamics in Several Complex Variables: Endomorphisms of Projective Spaces and Polynomial-like Mappings
Dynamics of Entire Functions
Discrete Holomorphic Local Dynamical Systems
Dynamics of Rational Surface Automorphisms
Uniformisation of Foliations by Curves