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1. Minimal Free Resolutions over Complete Intersections. 1st ed. 2016
by David Eisenbud, Irena Peeva
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2152
オンライン: http://dx.doi.org/10.1007/978-3-319-26437-0
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2. Néron Models and Base Change. 1st ed. 2016
by Lars Halvard Halle, Johannes Nicaise
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2156
オンライン: http://dx.doi.org/10.1007/978-3-319-26638-1
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Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 Introduction
Preliminaries
Models of curves and the Neron component series of a Jacobian
Component groups and non-archimedean uniformization
The base change conductor and Edixhoven's ltration
The base change conductor and the Artin conductor
Motivic zeta functions of semi-abelian varieties
Cohomological interpretation of the motivic zeta function. /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin-top:0in; mso-para-margin-right:0in; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0in; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;}
Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 Introduction
Preliminaries
Models of curves and the Neron component series of a Jacobian
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3. What is the Genus?
by Patrick Popescu-Pampu
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2162
オンライン: http://dx.doi.org/10.1007/978-3-319-42312-8
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4. Rationality Problems in Algebraic Geometry : Levico Terme, Italy 2015
by Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra ; edited by Rita Pardini, Gian Pietro Pirola
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2172
オンライン: http://dx.doi.org/10.1007/978-3-319-46209-7
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Introduction.-Arnaud Beauville: The Lüroth problem.-Brendan Hassett: Cubic Fourfolds, K3 Surfaces, and Rationality Questions
Alexander Kuznetsov: Derived categories view on rationality problems
Alessandro Verra: Classical moduli spaces and Rationality
Howard Nuer: Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces
Introduction.-Arnaud Beauville: The Lüroth problem.-Brendan Hassett: Cubic Fourfolds, K3 Surfaces, and Rationality Questions
Alexander Kuznetsov: Derived categories view on rationality problems
Alessandro Verra: Classical moduli spaces and Rationality
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5. 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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6. Berkovich Spaces and Applications
edited by Antoine Ducros, Charles Favre, Johannes Nicaise
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2119
オンライン: http://dx.doi.org/10.1007/978-3-319-11029-5
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Introduction to Berkovich analytic spaces
Etale cohomology of schemes and analytic spaces
Countability properties of Berkovich spaces
Cohomological finiteness of proper morphisms in algebraic geometry: a purely transcendental proof, without projective tools
Bruhat-Tits buildings and analytic geometry
Dynamics on Berkovich spaces in low dimensions
Compactifications of spaces of representations (after Culler, Morgan and Shalen)
Introduction to Berkovich analytic spaces
Etale cohomology of schemes and analytic spaces
Countability properties of Berkovich spaces
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7. 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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8. Twisted Teichmüller Curves
by Christian Weiß
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2104
オンライン: http://dx.doi.org/10.1007/978-3-319-04075-2
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Introduction
Background
Teichmüller Curves
Twisted Teichmüller Curves
Stabilizer and Maximality
Calculations for Twisted Teichmüller Curves
Prym Varieties and Teichmüller Curves
Lyapunov Exponents
Kobayashi Curves Revisited
Appendix
Tables
List of Symbols
Index
Bibliography
Introduction
Background
Teichmüller Curves
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9. Lectures on Formal and Rigid Geometry
by Siegfried Bosch
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2105
オンライン: http://dx.doi.org/10.1007/978-3-319-04417-0
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Classical Rigid Geometry
Tate Algebras
Affinoid Algebras and their Associated Spaces
Affinoid Functions
Towards the Notion of Rigid Spaces
Coherent Sheaves on Rigid Spaces
Formal Geometry
Adic Rings and their Associated Formal Schemes
Raynaud's View on Rigid Spaces
More Advanced Stuff
Appendix
References
Index
Classical Rigid Geometry
Tate Algebras
Affinoid Algebras and their Associated Spaces
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10. Combinatorial Algebraic Geometry : Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels
by Aldo Conca, Sandra Di Rocco, Jan Draisma, June Huh, Bernd Sturmfels, Filippo Viviani
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2108
オンライン: http://dx.doi.org/10.1007/978-3-319-04870-3
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Koszul algebras, Koszul homology and syzygies
Infinite-dimensional systems of polynomial equations with symmetry
Maximum Likelihood Geometry
Linear Toric fibrations and Cayley polytopes
Toroidal compactifications and tropicalizations of moduli spaces
Koszul algebras, Koszul homology and syzygies
Infinite-dimensional systems of polynomial equations with symmetry
Maximum Likelihood Geometry