The Dynamical Mordell-Lang Conjecture for Polynomial Endomorphisms of the Affine Plane PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Dynamical Mordell-Lang Conjecture for Polynomial Endomorphisms of the Affine Plane PDF full book. Access full book title The Dynamical Mordell-Lang Conjecture for Polynomial Endomorphisms of the Affine Plane by Junyi Xie. Download full books in PDF and EPUB format.
Author: Junyi Xie
Publisher:
ISBN: 9782856298695
Category : Affine algebraic groups
Languages : en
Pages : 110
Get Book
Book Description
In this paper we prove the Dynamical Mordell-Lang Conjecture for polynomial endomorphisms of the affine plane over the algebraic numbers. More precisely, let f be an endomorphism of the affine plan over the algebraic numbers. Let x be a point in the affine plan and C be a curve. If the intersection of C and the orbits of x is infinite, then C is periodic.
Author: Junyi Xie
Publisher:
ISBN: 9782856298695
Category : Affine algebraic groups
Languages : en
Pages : 110
Get Book
Book Description
In this paper we prove the Dynamical Mordell-Lang Conjecture for polynomial endomorphisms of the affine plane over the algebraic numbers. More precisely, let f be an endomorphism of the affine plan over the algebraic numbers. Let x be a point in the affine plan and C be a curve. If the intersection of C and the orbits of x is infinite, then C is periodic.
Author: Jason P. Bell
Publisher: American Mathematical Soc.
ISBN: 1470424088
Category : Arithmetical algebraic geometry
Languages : en
Pages : 280
Get Book
Book Description
The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context of arithmetic dynamics. It predicts the behavior of the orbit of a point x under the action of an endomorphism f of a quasiprojective complex variety X. More precisely, it claims that for any point x in X and any subvariety V of X, the set of indices n such that the n-th iterate of x under f lies in V is a finite union of arithmetic progressions. In this book the authors present all known results about the Dynamical Mordell-Lang Conjecture, focusing mainly on a p-adic approach which provides a parametrization of the orbit of a point under an endomorphism of a variety.
Author: Jason P. Bell
Publisher:
ISBN: 9781470429089
Category : Arithmetical algebraic geometry
Languages : en
Pages : 297
Get Book
Book Description
The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context of arithmetic dynamics. It predicts the behavior of the orbit of a point x under the action of an endomorphism f of a quasiprojective complex variety X. More precisely, it claims that for any point x in X and any subvariety V of X, the set of indices n such that the n-th iterate of x under f lies in V is a finite union of arithmetic progressions. In this book the authors present all known results about the Dynamical Mordell-Lang Conjecture, focusing mainly on a p-adic approach which provides a parametrization of the orbit of a point under an endomorphism of a variety
Author: Arno van den Essen
Publisher: Springer Science & Business Media
ISBN: 9401585555
Category : Mathematics
Languages : en
Pages : 244
Get Book
Book Description
Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps.
Author: Alexandru Buium
Publisher: American Mathematical Soc.
ISBN: 0821838628
Category : Arithmetical algebraic geometry
Languages : en
Pages : 346
Get Book
Book Description
For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory."--BOOK JACKET.
Author: Joseph H. Silverman
Publisher: Springer Science & Business Media
ISBN: 1475719205
Category : Mathematics
Languages : en
Pages : 414
Get Book
Book Description
The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.
Author: Jan Hendrik Bruinier
Publisher: Springer Science & Business Media
ISBN: 3540741194
Category : Mathematics
Languages : en
Pages : 266
Get Book
Book Description
This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.
Author: Claus Fieker
Publisher: Springer Science & Business Media
ISBN: 3540438637
Category : Computers
Languages : en
Pages : 526
Get Book
Book Description
Self-organized criticality (SOC) has become a magic word in various scientific disciplines; it provides a framework for understanding complexity and scale invariance in systems showing irregular fluctuations. In the first 10 years after Per Bak and his co-workers presented their seminal idea, more than 2000 papers on this topic appeared. Seismology has been a field in earth sciences where the SOC concept has already deepened the understanding, but there seem to be much more examples in earth sciences where applying the SOC concept may be fruitful. After introducing the reader into the basics of fractals, chaos and SOC, the book presents established and new applications of SOC in earth sciences, namely earthquakes, forest fires, landslides and drainage networks.
Author: Yuri Tschinkel
Publisher: Springer Science & Business Media
ISBN: 0817647473
Category : Mathematics
Languages : en
Pages : 700
Get Book
Book Description
EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.
Author: Lisa Berger
Publisher: American Mathematical Soc.
ISBN: 1470442191
Category : Mathematics
Languages : en
Pages : 131
Get Book
Book Description
The authors study the Jacobian $J$ of the smooth projective curve $C$ of genus $r-1$ with affine model $y^r = x^r-1(x + 1)(x + t)$ over the function field $mathbb F_p(t)$, when $p$ is prime and $rge 2$ is an integer prime to $p$. When $q$ is a power of $p$ and $d$ is a positive integer, the authors compute the $L$-function of $J$ over $mathbb F_q(t^1/d)$ and show that the Birch and Swinnerton-Dyer conjecture holds for $J$ over $mathbb F_q(t^1/d)$.
