. A G ] 2 0 Ju n 20 08 ZARISKI - VAN KAMPEN METHOD AND TRANSCENDENTAL LATTICES OF CERTAIN SINGULAR K 3 SURFACES

نویسنده

  • ICHIRO SHIMADA
چکیده

We present a method of Zariski-van Kampen type for the calculation of the transcendental lattice of a complex projective surface. As an application, we calculate the transcendental lattices of complex singular K3 surfaces associated with an arithmetic Zariski pair of maximizing sextics of type A10 + A9 that are defined over Q( √ 5) and are conjugate to each other by the action of Gal(Q( √

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : 0 80 6 . 33 11 v 2 [ m at h . A G ] 5 J un 2 00 9 ZARISKI - VAN KAMPEN METHOD AND TRANSCENDENTAL LATTICES OF CERTAIN SINGULAR K 3 SURFACES

We present a method of Zariski-van Kampen type for the calculation of the transcendental lattice of a complex projective surface. As an application, we calculate the transcendental lattices of complex singular K3 surfaces associated with an arithmetic Zariski pair of maximizing sextics of type A10 + A9 that are defined over Q( √ 5) and are conjugate to each other by the action of Gal(Q( √

متن کامل

Transcendental Lattices of Certain Singular K3 Surfaces

We present a method of Zariski-van Kampen type for the calculation of the transcendental lattice of a complex projective surface. As an application, we calculate the transcendental lattices of complex singular K3 surfaces associated with an arithmetic Zariski pair of maximizing sextics of type A10 + A9 that are defined over Q( √ 5) and are conjugate to each other by the action of Gal(Q( √ 5)/Q).

متن کامل

Transcendental Lattices and Supersingular Reduction Lattices of a Singular K3 Surface

A (smooth) K3 surface X defined over a field k of characteristic 0 is called singular if the Néron-Severi lattice NS(X) of X ⊗ k is of rank 20. Let X be a singular K3 surface defined over a number field F . For each embedding σ : F →֒ C, we denote by T (Xσ) the transcendental lattice of the complex K3 surface Xσ obtained from X by σ. For each prime ideal p of F at which X has a supersingular red...

متن کامل

Optimal Order FEM for a Coupled Eigenvalue Problem on 2D Overlapping Domains

Fourth International Conference on Numerical Analysis and Applications NAA’08 June 16 20, 2008, Lozenetz, Bulgaria Organized by Department of Mathematics and Informatics University of Rousse ”Angel Kanchev” Main tracks: Numerical Approximation and Computational Geometry, Numerical Linear Algebra and Numerical Solution of Transcendental Equations, Numerical Methods for Differential Equations, Nu...

متن کامل

Differentially Transcendental Functions

The aim of this paper is to exhibit a method for proving that certain analytic functions are not solutions of algebraic differential equations. The method is based on model-theoretic properties of differential fields and properties of certain known transcendental differential functions, as of Γ(x). Furthermore, it also determines differential transcendency of solution of some functional equatio...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008