The Period-Index Obstruction for Elliptic Curves

Catherine O’Neil

Type: Article

Publication Date: 2002-08-01

Citations: 52

DOI: https://doi.org/10.1006/jnth.2001.2770

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Locations

Journal of Number Theory - View

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+	Genus 1 Curves in Severi--Brauer Surfaces	2021	David J. Saltman
+ PDF Chat	Visualizing elements of Sha[3] in genus 2 jacobians	2010	Nils Bruin Sander R. Dahmen
+	Period and index of genus one curves over number fields	2008	Shahed Sharif
+ PDF Chat	Computing the Cassels–Tate pairing on the 3-Selmer group of an elliptic curve	2014	Tom Fisher Rachel Newton
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+ PDF Chat	Period, index and potential, III	2010	Pete L. Clark Shahed Sharif
+ PDF Chat	Coregular spaces and genus one curves	2016	Manjul Bhargava Wei Ho
+	Potential Ш for abelian varieties	2011	Brendan Creutz
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Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman
+	A Course in Arithmetic	1973	Jean Pierre Serre
+ PDF Chat	Projective geometry of elliptic curves	1983	Klaus Hulek
+ PDF Chat	Higher-dimensional parallel transports	2001	Kiyonori Gomi Yuji Terashima
+	Arithmetic on Curves of Genus 1 (V). Two Counter-Examples	1963	J. W. S. Cassels
+ PDF Chat	Jacobians of Genus One Curves	2001	Catherine O’Neil
+	Relations between K2 and Galois cohomology	1976	John Tate
+	Noncommutative cohomologies and Mumford groups	1974	Yu. G. Zarkhin
+	The Period-Index Problem for Elliptic Curves	1968	Stephen Lichtenbaum
+	Principal Homogeneous Spaces Over Abelian Varieties	1958	Serge Lang John Tate