Martin Bright

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All published works

Action	Title	Year	Authors
+ PDF Chat	Evaluating the wild Brauer group	2023	Martin Bright Rachel Newton
+ PDF Chat	Brauer–Manin obstruction for Erdős–Straus surfaces	2020	Martin Bright Daniel Loughran
+	Evaluating the wild Brauer group	2020	Martin Bright Rachel Newton
+	Finiteness theorems for K3 surfaces over arbitrary fields	2019	Martin Bright Adam Logan Ronald Martinus van Luijk
+ PDF Chat	Finiteness results for K3 surfaces over arbitrary fields	2019	Martin Bright Adam Logan Ronald van Luijk
+ PDF Chat	A Uniform Bound on the Brauer Groups of Certain log K3 Surfaces	2019	Martin Bright Julian Lyczak
+ PDF Chat	Failure of strong approximation on an affine cone	2018	Martin Bright Ivo Kok
+ PDF Chat	Obstructions to the Hasse principle in families	2018	Martin Bright
+	Rational points in families of varieties	2017	Martin Bright
+ PDF Chat	Failures of weak approximation in families	2016	Martin Bright T. D. Browning Daniel Loughran
+ PDF Chat	Bad reduction of the Brauer-Manin obstruction	2015	Martin Bright
+	Brauer groups of singular del Pezzo surfaces	2013	Martin Bright
+ PDF Chat	Torsors under tori and Néron models	2011	Martin Bright
+ PDF Chat	The Brauer–Manin obstruction on a general diagonal quartic surface	2011	Martin Bright
+ PDF Chat	Evaluating Azumaya algebras on cubic surfaces	2010	Martin Bright
+	The Brauer-Manin obstruction on a general diagonal quartic surface	2010	Martin Bright
+	The Brauer-Manin obstruction on a general diagonal quartic surface	2010	Martin Bright
+	Torsors under tori and N\'eron models	2009	Martin Bright
+	Torsors, N\'eron models and obstructions to rational points	2009	Martin Bright
+	Torsors under tori and Néron models	2009	Martin Bright
+	Functions, reciprocity and the obstruction to divisors on curves	2008	Martin Bright Samir Siksek
+ PDF Chat	Efficient evaluation of the Brauer–Manin obstruction	2007	Martin Bright
+ PDF Chat	The Brauer-Manin Obstruction and III[2]	2007	Martin Bright Nils Bruin E. V. Flynn Adam Logan
+ PDF Chat	Brauer groups of diagonal quartic surfaces	2005	Martin Bright
+	Computing Galois groups by specialisation	2004	Martin Bright
+	Computations on diagonal quartic surfaces	2002	Martin Bright

Common Coauthors

Coauthor	Papers Together
Adam Logan	3
Daniel Loughran	2
Rachel Newton	2
Ronald Martinus van Luijk	1
E. V. Flynn	1
Ivo Kok	1
T. D. Browning	1
Julian Lyczak	1
Ronald van Luijk	1
Samir Siksek	1
Nils Bruin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Torsors and Rational Points	2001	Alexei N. Skorobogatov	8
+	A Course in Arithmetic	1973	Jean Pierre Serre	6
+	Algebraic Geometry	1977	Robin Hartshorne	5
+	Arithmétique des Surfaces Cubiques Diagonales	1987	Jean-Louis Colliot-Thélène Dimitri Kanevsky Jean-Jacques Sansuc	5
+	Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.	1994	Jean-Louis Colliot-Thélène	5
+	Computations on diagonal quartic surfaces	2002	Martin Bright	5
+ PDF Chat	The Brauer group of cubic surfaces	1993	Sir Peter Swinnerton-Dyer	5
+ PDF Chat	Arithmetic of diagonal quartic surfaces, II	2000	Peter Swinnerton‐Dyer	5
+	LE GROUPE DE BRAUER-GROTHENDIECK EN GÉOMÉTRIE DIOPHANTIENNE	1996	Yu. I. Manin	5
+ PDF Chat	Bad reduction of the Brauer-Manin obstruction	2015	Martin Bright	5
+	Cubic Forms - Algebra, Geometry, Arithmetic	1986	Michiel Hazewinkel I︠u︡. I. Manin	4
+ PDF Chat	On the Brauer group of diagonal quartic surfaces	2011	Evis Ieronymou Alexei N. Skorobogatov Yuri G. Zarhin	4
+ PDF Chat	Efficient evaluation of the Brauer–Manin obstruction	2007	Martin Bright	4
+	Number of Points of Varieties in Finite Fields	2000	Serge Lang André Weil	4
+ PDF Chat	Beyond the Manin obstruction	1999	Alexei N. Skorobogatov	4
+	Number of Points of Varieties in Finite Fields	1954	Serge Lang André Weil	4
+	Le groupe de Brauer	1966	Alexandre Grothendieck	3
+ PDF Chat	Brauer groups of diagonal quartic surfaces	2005	Martin Bright	3
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	3
+ PDF Chat	L'arithmétique des variétés rationnelles	1992	Jean-Louis Colliot-Thélène	3
+ PDF Chat	ON THE BRAUER GROUP OF DIAGONAL CUBIC SURFACES	2013	T. Uematsu	3
+	Good reduction of the Brauer–Manin obstruction	2012	Jean-Louis Colliot-Thélène Alexei N. Skorobogatov	3
+ PDF Chat	Evaluating Azumaya algebras on cubic surfaces	2010	Martin Bright	3
+	Two special cubic surfaces	1962	H. P. F. Swinnerton-Dyer	3
+ PDF Chat	Rational singularities, with applications to algebraic surfaces and unique factorization	1969	Joseph Lipman	3
+	Local Fields	1979	Jean-Pierre Serre	3
+	Arithmetic Duality Theorems	1987	J. S. Milne	3
+	Méthode des fibrations et obstruction de Manin	1994	David Harari	3
+	Hasse principle for pencils of curves of genus one whose jacobians have a rational 2-division point	2001	Jean-Louis Colliot-Thélène	3
+	Etale Cohomology (PMS-33)	1980	J. S. Milne	3
+	Galois cohomology of complete discrete valuation fields	1982	Kazuya Katô	2
+	Hilbert's theorem 90 forK 2, with application to the Chow groups of rational surfaces	1983	Jean-Louis Colliot-Th�l�ne	2
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	2
+	A generalization of local class field theory by using K-groups	1980	加藤和也	2
+	On Primes of Ordinary and Hodge-Witt Reduction	2016	Kirti Joshi	2
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	2
+	On Swan conductors for Brauer groups of curves over local fields	1999	Takao Yamazaki	2
+ PDF Chat	La $R$-équivalence sur les tores	1977	Jean-Louis Colliot-Thélène Jean-Jacques Sansuc	2
+	Rational curves on quasi-projective surfaces	1999	Seán Keel James McKernan	2
+	On the Swan conductor in positive characteristic	1997	Shigeki Matsuda	2
+	Affine analog of the proper base change theorem	1994	Ofer Gabber	2
+	La conjecture de Weil. I	1974	Pierre Deligne	2
+ PDF Chat	Arithmetic on Singular Del Pezzo Surfaces	1988	Daniel Coray M. A. Tsfasman	2
+	Global Class-Field Theory	1996	Władysław Narkiewicz	2
+	A finiteness theorem for the Brauer group of abelian varieties and 𝐾3 surfaces	2007	Alexei N. Skorobogatov Yuri G. Zarhin	2
+ PDF Chat	Ordinary reduction of K3 surfaces	2009	Fedor Bogomolov Yuri G. Zarhin	2
+	Central Simple Algebras and Galois Cohomology	2006	Philippe Gille Tamás Szamuely	2
+ PDF Chat	On elliptic modular surfaces	1972	Tetsuji Shioda	2
+ PDF Chat	Conductors and the moduli of residual perfection	2004	James Borger	2
+	Brauer–Manin obstructions on some Del Pezzo surfaces	1999	Peter Swinnerton‐Dyer	2