None

Salman Abdulali

Type: Article

Publication Date: 1997-01-01

Citations: 14

DOI: https://doi.org/10.1023/a:1000274922979

Abstract

HTML view is not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button. We investigate the relationship between the usual and general Hodge conjectures for abelian varieties. For certain abelian varieties $A$, we show that the usual Hodge conjecture for all powers of $A$ implies the general Hodge conjecture for $A$.

Locations

Compositio Mathematica - View - PDF

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Works That Cite This (14)

Action	Title	Year	Authors
+	Hodge structures on abelian varieties of type IV	2003	Salman Abdulali
+	None	2001	Sergei Gennadievich Tankeev
+ PDF Chat	Some desultory remarks concerning algebraic cycles and Calabi–Yau threefolds	2016	Robert Laterveer
+	Tate twists of Hodge structures arising from abelian varieties of type IV	2011	Salman Abdulali
+	Hodge structures on abelian varieties of CM-type	2001	Salman Abdulali
+	A survey of the Hodge conjecture for abelian varieties	2016	James D. Lewis Basil Gordon
+	On the coniveau of certain sub-Hodge structures	2012	Lie Fu
+ PDF Chat	Hodge Structures Associated to<i>SU</i>(<i>p</i>, 1)	2015	Salman Abdulali
+	Motivic complexes over finite fields and the ring of correspondences at the generic point	2006	J. S. Milne Niranjan Ramachandran
+ PDF Chat	Motivic Complexes over Finite Fields and the Ring of Correspondences at the Generic Point	2009	J. S. Milne Niranjan Ramachandran

Works Cited by This (33)

Action	Title	Year	Authors
+	Algebraic Structures of Symmetric Domains	1981	Ichirō Satake
+ PDF Chat	Hodge Cycles on Abelian Varieties	1982	Pierre Deligne
+	Hodge's general conjecture is false for trivial reasons	1969	Alexandre Grothendieck
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason
+	On Analytic Families of Polarized Abelian Varieties and Automorphic Functions	1963	Goro Shimura
+ PDF Chat	Cycles on abelian varieties	1958	Arthur Mattuck
+	Holomorphic Imbeddings of Symmetric Domains into a Siegel Space	1965	Ichirō Satake
+	ABELIAN VARIETIES AND THE GENERAL HODGE CONJECTURE	1994	Sergei G Tankeev
+ PDF Chat	Algebraic cycles and the Hodge structure of a Kuga fiber variety	1993	Basil Gordon
+ PDF Chat	Symplectic representations of algebraic groups satisfying a certain analyticity condition	1967	Ichirō Satake