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The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang
The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang
Autore Yuan Xinyi <1981->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, 2012, c2013
Descrizione fisica 1 online resource (267 p.)
Disciplina 516.3/52
Altri autori (Persone) ZhangShouwu
ZhangWei <1981->
Collana Annals of mathematics studies
Soggetto topico Shimura varieties
Arithmetical algebraic geometry
Automorphic forms
Quaternions
Soggetto genere / forma Electronic books.
ISBN 9786613883919
1-4008-4564-5
1-283-57146-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Statement of Main Results -- Chapter Two. Weil Representation and Waldspurger Formula -- Chapter Three. Mordell-Weil Groups and Generating Series -- Chapter Four. Trace of the Generating Series -- Chapter Five. Assumptions on the Schwartz Function -- Chapter Six. Derivative of the Analytic Kernel -- Chapter Seven. Decomposition of the Geometric Kernel -- Chapter Eight. Local Heights of CM Points -- Bibliography -- Index
Record Nr. UNINA-9910453331303321
Yuan Xinyi <1981->  
Princeton, : Princeton University Press, 2012, c2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang
The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang
Autore Yuan Xinyi <1981->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, 2012, c2013
Descrizione fisica 1 online resource (267 p.)
Disciplina 516.3/52
Altri autori (Persone) ZhangShouwu
ZhangWei <1981->
Collana Annals of mathematics studies
Soggetto topico Shimura varieties
Arithmetical algebraic geometry
Automorphic forms
Quaternions
Soggetto non controllato Arakelov theory
Benedict Gross
Don Zagier
EichlerГhimura theory
Eisenstein series
GrossКagier formula
Heegner point
Hodge bundle
Hodge index theorem
L-series
MordellЗeil group
NeronДate height
RankinГelberg L-function
Schwartz function
Shimizu lifting
Shimura curve
Shimura curves
SiegelЗeil formula
Waldspurger formula
Weil representation
abelian varieties
analytic kernel function
analytic kernel
degenerate Schwartz function
discrete series
generating series
geometric kernel
height series
holomorphic kernel function
holomorphic projection
incoherent Eisenstein series
incoherent automorphic representation
incoherent quaternion algebra
kernel function
kernel identity
local height
modular curve
modularity
multiplicity function
non-archimedean local field
non-degenerate quadratic space
ordinary component
orthogonal space
projector
pull-back formula
ramified quadratic extension
supersingular component
superspecial component
theta function
theta liftings
theta series
trace identity
un-normalized kernel function
unramified quadratic extension
ISBN 9786613883919
1-4008-4564-5
1-283-57146-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Statement of Main Results -- Chapter Two. Weil Representation and Waldspurger Formula -- Chapter Three. Mordell-Weil Groups and Generating Series -- Chapter Four. Trace of the Generating Series -- Chapter Five. Assumptions on the Schwartz Function -- Chapter Six. Derivative of the Analytic Kernel -- Chapter Seven. Decomposition of the Geometric Kernel -- Chapter Eight. Local Heights of CM Points -- Bibliography -- Index
Record Nr. UNINA-9910790961403321
Yuan Xinyi <1981->  
Princeton, : Princeton University Press, 2012, c2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Gross-Zagier formula on Shimura curves / / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang
The Gross-Zagier formula on Shimura curves / / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang
Autore Yuan Xinyi <1981->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, 2012, c2013
Descrizione fisica 1 online resource (267 p.)
Disciplina 516.3/52
Altri autori (Persone) ZhangShouwu
ZhangWei <1981->
Collana Annals of mathematics studies
Soggetto topico Shimura varieties
Arithmetical algebraic geometry
Automorphic forms
Quaternions
ISBN 9786613883919
1-4008-4564-5
1-283-57146-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Statement of Main Results -- Chapter Two. Weil Representation and Waldspurger Formula -- Chapter Three. Mordell-Weil Groups and Generating Series -- Chapter Four. Trace of the Generating Series -- Chapter Five. Assumptions on the Schwartz Function -- Chapter Six. Derivative of the Analytic Kernel -- Chapter Seven. Decomposition of the Geometric Kernel -- Chapter Eight. Local Heights of CM Points -- Bibliography -- Index
Record Nr. UNINA-9910817785603321
Yuan Xinyi <1981->  
Princeton, : Princeton University Press, 2012, c2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui