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Hasse principle
OpenAlex ID:
C50275913
Rational Quadratic Forms
1982
·
J.W.S. Cassels
·
North-Holland mathematics studies
·
555
Torsors and Rational Points
2001
·
Alexei Skorobogatov
·
Cambridge University Press eBooks
·
347
A Hasse principle for two dimensional global fields.
1986
·
Kazuya Kato
·
Journal für die reine und angewandte Mathematik (Crelles Journal)
·
142
On Subfields of the Hermitian Function Field
2000
·
Arnaldo Garcia
, Henning Stichtenoth
, et al.
·
Compositio Mathematica
·
115
PDF
Beyond the Manin obstruction
1999
·
Alexei N. Skorobogatov
·
Inventiones mathematicae
·
115
PDF
On Maximal Curves
1997
·
Rainer Fuhrmann
, Arnaldo Garcia
, et al.
·
Journal of Number Theory
·
100
Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.
1994
·
Jean-Louis Colliot-Thélène
·
Journal für die reine und angewandte Mathematik (Crelles Journal)
·
89
On some Hasse Principles over formally real fields
1973
·
Richard Elman
, Tsit-Yuen Lam
, et al.
·
Mathematische Zeitschrift
·
67
Heuristics for the Brauer–Manin Obstruction for Curves
2006
·
Bjorn Poonen
·
Experimental Mathematics
·
54
PDF
Insufficiency of the Brauer-Manin obstruction applied to étale covers
2010
·
Bjorn Poonen
·
Annals of Mathematics
·
53
PDF
Undecidability and Definability for the Theory of Global Fields
1980
·
R. S. Rumely
·
Transactions of the American Mathematical Society
·
53
PDF
Hasse-Davenport Curves, Gauss Sums, and Weight Distributions of Irreducible Cyclic Codes
1995
·
Marcel Van Der Vlugt
·
Journal of Number Theory
·
52
Arithmetic of diagonal quartic surfaces, II
2000
·
Peter Swinnerton-Dyer
·
Proceedings of the London Mathematical Society
·
50
Classical Groups and the Hasse Principle
1998
·
E. Bayer-Fluckiger
, R. Parimala
·
Annals of Mathematics
·
50
Hasse diagrams for 3d $$ \mathcal{N} $$ = 4 quiver gauge theories — Inversion and the full moduli space
2020
·
Julius F. Grimminger
, Amihay Hanany
·
Journal of High Energy Physics
·
49
PDF
Period and index in the Brauer group of an arithmetic surface
2011
·
Max Lieblich
·
Journal für die reine und angewandte Mathematik (Crelles Journal)
·
48
PDF
The Hasse problem for rational surfaces.
1975
·
B.J. BIRCH
, H.P.F. Swinnerton-Dyer
·
Journal für die reine und angewandte Mathematik (Crelles Journal)
·
48
Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points
1998
·
J.-L. Colliot-Thélène
, A. N. Skorobogatov
, et al.
·
Inventiones mathematicae
·
47
The Brauer group of cubic surfaces
1993
·
Sir Peter Swinnerton-Dyer
·
Mathematical Proceedings of the Cambridge Philosophical Society
·
47
PDF
Random Diophantine Equations
2004
·
Bjorn Poonen
, José Felipe Voloch
·
Progress in mathematics
·
46
Descent on fibrations over the projective line
1996
·
Alexei N. Skorobogatov
·
American Journal of Mathematics
·
45
Splitting varieties for triple Massey products
2014
·
Michael J. Hopkins
, Kirsten G. Wickelgren
·
Journal of Pure and Applied Algebra
·
44
Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial
2004
·
John Brillhart
, Patrick Morton
·
Journal of Number Theory
·
44
Hasse invariants for Hilbert modular varieties
2001
·
Eyal Z. Goren
·
Israel Journal of Mathematics
·
43
Hasse principle for pencils of curves of genus one whose jacobians have a rational 2-division point: Close variation on a paper of bender and swinnerton-dyer
2001
·
Jean-Louis Colliot-Thélène
·
Progress in mathematics
·
42
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Works count:
644
Citation count:
5,880
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