Hodge Classes on Certain Types of Abelian Varieties

Kenneth A. Ribet

Type: Article

Publication Date: 1983-04-01

Citations: 80

DOI: https://doi.org/10.2307/2374267

View Publication

Locations

American Journal of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	A Survey of the Hodge Conjecture for Abelian Varieties	1997	Basil Gordon
+	A survey of the Hodge conjecture for abelian varieties	2016	James D. Lewis Basil Gordon
+	Hodge classes on abelian varieties	2020	J. S. Milne
+	A survey around the Hodge, Tate and Mumford-Tate conjectures for abelian varieties	2016	Victoria Cantoral‐Farfán
+ PDF Chat	Hodge classes on abelian varieties of low dimension	1999	B.J. Moonen Yu. G. Zarhin
+	An Introduction to the Hodge Conjecture for Abelian Varieties	1994	Bert van Geemen
+	Exceptional hodge classes on certain abelian varieties	1984	V. Kumar Murty
+	Hodge classes on abelian varieties of low dimension	1999	B.J. Moonen Yu. G. Zarhin
+ PDF Chat	Some aspects of the Hodge conjecture	2007	Claire Voisin
+	INTERRELATIONS BETWEEN THE TATE AND HODGE CONJECTURES FOR ABELIAN VARIETIES	1971	I. I Pjateckiĭ-Šapiro
+	Hodge Theory and Algebraic Geometry	2003	D. Matsushita
+ PDF Chat	Hodge Cycles on Abelian Varieties	1982	Pierre Deligne
+	Hodge Theory (MN-49)	2017	Eduardo Cattani Fouad El Zein Phillip Griffiths Lê Dũng Tráng
+	Notes on absolute Hodge classes	2011	François Charles Christian Schnell
+	Hodge structures on abelian varieties of CM-type	2001	Salman Abdulali
+ PDF Chat	Cycles in the de Rham cohomology of abelian varieties over number fields	2018	Yunqing Tang
+ PDF Chat	Erratum: Hodge Cycles on Abelian Varieties	1982	Pierre Deligne
+ PDF Chat	The Hodge Group of an Abelian Variety	1988	V. Kumar Murty
+	Beilinson-Hodge cycles on semiabelian varieties	2008	Donu Arapura Manish Kumar
+ PDF Chat	Beilinson-Hodge cycles on semiabelian varieties	2009	Donu Arapura Manish Kumar

Works That Cite This (80)

Action	Title	Year	Authors
+ PDF Chat	On the standard conjecture for a fourfold with $1$-parameter fibration by Abelian varieties	2024	Sergey Gennadievich Tankeev
+ PDF Chat	On the image of Galois $l$-adic representations for abelian varieties of type III	2010	Grzegorz Banaszak Wojciech Gajda Piotr Krasoń
+	Non-isogenous abelian varieties sharing the same division fields	2022	Davide Lombardo
+ PDF Chat	ON THE ESSENTIAL TORSION FINITENESS OF ABELIAN VARIETIES OVER TORSION FIELDS	2023	Jeffrey D. Achter Lian Duan Xiyuan Wang
+	The Griffiths infinitesimal invariant for a curve in its Jacobian	1995	Alberto Collino Gian Pietro Pirola
+ PDF Chat	Families of absolutely simple hyperelliptic jacobians	2009	Yuri G. Zarhin
+	On the image of l-adic Galois representations for abelian varieties of type I and II	2004	Grzegorz Banaszak Wojciech Gajda Piotr Krasoń
+	Abelian varieties having a reduction of K3 type	1992	Yuri G. Zarhin
+ PDF Chat	Algebraic Cycles in Families of Abelian Varieties	1994	Salman Abdulali
+	Motivation for Hodge cycles	2005	Donu Arapura

Works Cited by This (12)

Action	Title	Year	Authors
+	On Analytic Families of Polarized Abelian Varieties and Automorphic Functions	1963	Goro Shimura
+	On the heat equation and the index theorem	1973	Michael Atiyah R. Bott V. K. Patodi
+	ON ALGEBRAIC CYCLES ON SURFACES AND ABELIAN VARIETIES	1982	Sergei G Tankeev
+	CYCLES ON SIMPLE ABELIAN VARIETIES OF PRIME DIMENSION	1983	Sergei G Tankeev
+	Algebraic cycles on abelian varieties of fermat type	1981	Tetsuji Shioda
+	Galois Action on Division Points of Abelian Varieties with Real Multiplications	1976	Kenneth A. Ribet
+	ON ALGEBRAIC CYCLES ON SIMPLE 5-DIMENSIONAL ABELIAN VARIETIES	1982	Sergei G Tankeev
+	Algebraic Cycles on Abelian Varieties of Complex Multiplication Type	1968	Henry John Pohlmann
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre
+ PDF Chat	A note of Shimura's paper ?discontinuous groups and abelian varieties?	1969	D. Mumford