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The Cremona Group and Its Subgroups
  • Language: en
  • Pages: 187

The Cremona Group and Its Subgroups

The goal of this book is to present a portrait of the n n-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some crucial tools, the book describes a naturally defined infinite dimensional hyperbolic space on which the Cremona group acts. This space plays a fundamental role in the study of Cremona groups, as it allows one to apply tools from geometric group theory to explore properties of the subgroups of the Cremona group as well as the degree growth and dynamical behavior of birational transformations. The book describes natural topologies on the Cremona group, codifies the notion of algebraic subgroups of the Cremona groups and finishes with a chapter on the dynamics of their actions. This book is aimed at graduate students and researchers in algebraic geometry who are interested in birational geometry and its interactions with geometric group theory and dynamical systems.

Some Properties of the Cremona Group
  • Language: en
  • Pages: 188

Some Properties of the Cremona Group

  • Type: Book
  • -
  • Published: 2012
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  • Publisher: Unknown

None

Mémoire
  • Language: en
  • Pages: 502

Mémoire

  • Type: Book
  • -
  • Published: 2005
  • -
  • Publisher: Unknown

None

Holomorphic Dynamical Systems
  • Language: en
  • Pages: 357

Holomorphic Dynamical Systems

The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related...

Feuilletages Et Actions de Groupes Sur Les Espaces Projectifs
  • Language: en
  • Pages: 124

Feuilletages Et Actions de Groupes Sur Les Espaces Projectifs

  • Type: Book
  • -
  • Published: 2005
  • -
  • Publisher: Unknown

None

Mathematicians in Bologna 1861–1960
  • Language: en
  • Pages: 555

Mathematicians in Bologna 1861–1960

The scientific personalities of Luigi Cremona, Eugenio Beltrami, Salvatore Pincherle, Federigo Enriques, Beppo Levi, Giuseppe Vitali, Beniamino Segre and of several other mathematicians who worked in Bologna in the century 1861–1960 are examined by different authors, in some cases providing different view points. Most contributions in the volume are historical; they are reproductions of original documents or studies on an original work and its impact on later research. The achievements of other mathematicians are investigated for their present-day importance.

Théories Asymptotiques Et Équations de Painlevé
  • Language: en
  • Pages: 398

Théories Asymptotiques Et Équations de Painlevé

The major part of this volume is devoted to the study of the sixth Painleve equation through a variety of approaches, namely elliptic representation, the classification of algebraic solutions and so-called ``dessins d'enfants'' deformations, affine Weyl group symmetries and dynamics using the techniques of Riemann-Hilbert theory and those of algebraic geometry. Discrete Painleve equations and higher order equations, including the mKdV hierarchy and its Lax pair and a WKB analysis of perturbed Noumi-Yamada systems, are given a place of study, as well as theoretical settings in Galois theory for linear and non-linear differential equations, difference and $q$-difference equations with applications to Painleve equations and to integrability or non-integrability of certain Hamiltonian systems.

A Manual of California Vegetation
  • Language: en
  • Pages: 1316

A Manual of California Vegetation

None

The Cremona Group and Its Subgroups
  • Language: en
  • Pages: 187

The Cremona Group and Its Subgroups

  • Type: Book
  • -
  • Published: 2021
  • -
  • Publisher: Unknown

"The goal of this book is to present a portrait of the n-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some crucial tools, the book describes a naturally defined infinite dimensional hyperbolic space on which the Cremona group acts. This space plays a fundamental role in the study of Cremona groups, as it allows one to apply tools from geometric group theory to explore properties of the subgroups of the Cremona group as well as the degree growth and dynamical behavior of birational transformations. The book describes natural topologies on the Cremona group, codifies the notion of algebraic subgroups of the Cremona groups and finishes with a chapter on the dynamics of their actions. This book is aimed at graduate students and researchers in algebraic geometry who are interested in birational geometry and its interactions with geometric group theory and dynamical systems."--

Lives, Identities and Histories in the Central Middle Ages
  • Language: en
  • Pages: 339

Lives, Identities and Histories in the Central Middle Ages

Offers a new take on the identities and life histories of medieval people, in their multi-layered and sometimes contradictory dimensions.