Hilbert Modular Surfaces

Hilbert Modular Surfaces

Examples of Hilbert Modular Surfaces As an illustration of the previous chapters we now give examples. Reading this chapter will resemble a visit to a zoological garden: each of the surfaces presented here is a world in itself that can ...

Author: Gerard van der Geer

Publisher: Springer Science & Business Media

ISBN: 9783642615535

Category: Mathematics

Page: 294

View: 921

Over the last 15 years important results have been achieved in the field of Hilbert Modular Varieties. Though the main emphasis of this book is on the geometry of Hilbert modular surfaces, both geometric and arithmetic aspects are treated. An abundance of examples - in fact a whole chapter - completes this competent presentation of the subject. This Ergebnisbericht will soon become an indispensible tool for graduate students and researchers in this field.
Categories: Mathematics

Periods of Hilbert Modular Surfaces

Periods of Hilbert Modular Surfaces

[16] Hirzebruch, F. :Hilbert modular surfaces. L'Ens. Math. 19, 183-281 (1973). [17] Hirzebruch, F.: Kurven auf den Hilbertschen Modulflächen und Klassenzahl relationen. Classification of algebraic varieties and compact manifolds.

Author: T. Oda

Publisher: Springer Science & Business Media

ISBN: 9781468492019

Category: Mathematics

Page: 128

View: 647

Categories: Mathematics

Periods of Hilbert Modular Surfaces

Periods of Hilbert Modular Surfaces

The arithmetic theory of periods of modular forms is revealing its nature as Diophantine index theorem.

Author: Takayuki Oda

Publisher: Birkhauser

ISBN: UOM:39015072702759

Category: Science

Page: 123

View: 952

The arithmetic theory of periods of modular forms is revealing its nature as Diophantine index theorem. This paper is an attempt to amplify this universal principle by discussing a special case: Hodge structures of Hilbert modular surfaces.
Categories: Science

Hilbert Modular Forms

Hilbert Modular Forms

Hilbert modular surfaces. Erg. der Math. III/16 Springer-Verlag van der Geer, G., Zagier, D. 18. The Hilbert modular group for the field Q(V13). Invent. Math. 42, 93-133 (1977) Gundlach, K-B. 19. Some new results in the theory of ...

Author: Eberhard Freitag

Publisher: Springer Science & Business Media

ISBN: 9783662026380

Category: Mathematics

Page: 252

View: 882

Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. In recent times, this branch of number theory has been given more and more attention and thus the need for a comprehensive presentation of these results, previously scattered in research journal papers, has become obvious. The main aim of this book is to give a description of the singular cohomology and its Hodge decomposition including explicit formulae. The author has succeeded in giving proofs which are both elementary and complete. The book contains an introduction to Hilbert modular forms, reduction theory, the trace formula and Shimizu's formulae, the work of Matsushima and Shimura, analytic continuation of Eisenstein series, the cohomology and its Hodge decomposition. Basic facts about algebraic numbers, integration, alternating differential forms and Hodge theory are included in convenient appendices so that the book can be used by students with a knowledge of complex analysis (one variable) and algebra.
Categories: Mathematics

Hilbert Modular Surfaces

Hilbert Modular Surfaces

Author: Friedrich Hirzebruch

Publisher:

ISBN: STANFORD:36105031559730

Category: Discontinuous groups

Page: 108

View: 545

Categories: Discontinuous groups

Hilbert Modular Surfaces

Hilbert Modular Surfaces

Author: Enseignement mathématique

Publisher:

ISBN: UCAL:B3532362

Category: Discontinuous groups

Page: 112

View: 286

Categories: Discontinuous groups

Monographie de L enseignement Math matique

Monographie     de L enseignement Math  matique

Hilbert modular surfaces and the classification of algebraic surfaces . Invent . Math . 23 ( 1974 ) , pp . 1-29 . [ 5 ] HIRZEBRUCH , F. and D. ZAGIER . Classification of Hilbert modular surfaces , in “ Complex Analysis and Algebraic ...

Author: Max-Albert Knus

Publisher:

ISBN: UCAL:B3689453

Category: Algebra

Page: 288

View: 144

Categories: Algebra

On Hilbert Modular Surfaces of Principal Congruence Subgroups

On Hilbert Modular Surfaces of Principal Congruence Subgroups

Ann . 56,58 ( 1903 ) Canonical models of surfaces of general type . Publ . Math.I.H.E.S. 42 , 171-220 ( 1973 ) G. van der Geer A. Van de Ven . On the minimality of certain Hilbert Modular Surfaces . In " Complex Analysis and Algebraic ...

Author: Gerardus Bartholomeus Maria Van der Geer

Publisher:

ISBN: UCAL:B2703478

Category:

Page: 112

View: 244

Categories: