Alexei Skorobogatov

Alexei Skorobogatov's AcademicInfluence.com Rankings

Alexei Skorobogatov

Mathematics

#1511

World Rank

#2462

Historical Rank

Algebraic Geometry

#81

World Rank

#86

Historical Rank

Number Theory

#249

World Rank

#316

Historical Rank

Measure Theory

#3464

World Rank

#4088

Historical Rank

mathematics Degrees

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Mathematics

Alexei Skorobogatov's Degrees

Masters Mathematics Moscow State University

Why Is Alexei Skorobogatov Influential?

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According to Wikipedia, Alexei Nikolaievich Skorobogatov is a British-Russian mathematician and Professor in Pure Mathematics at Imperial College London specialising in algebraic geometry. His work has focused on rational points, the Hasse principle, the Manin obstruction, exponential sums, and error-correcting codes.

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Alexei Skorobogatov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Torsors and Rational Points (2001) (330)
Beyond the Manin obstruction (1997) (134)
A finiteness theorem for the Brauer group of abelian varieties and K3 surfaces (2006) (87)
On the decoding of algebraic-geometric codes (1990) (77)
Double fibres and double covers: paucity of rational points (1997) (70)
Torsors, étale homotopy and applications to rational points (2013) (66)
Rational points and zero-cycles on fibred varieties: Schinzel's hypothesis and Salberger's device (1998) (62)
Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points (1998) (60)
Descent on fibrations over the projective line (1996) (54)
Compactification équivariante d’un tore (d’après Brylinski et Künnemann) (2005) (50)
Rational solutions of certain equations involving norms (2002) (47)
On the Brauer group of diagonal quartic surfaces (2009) (45)
The elementary obstruction and homogeneous spaces (2006) (44)
Non-abelian descent and the arithmetic of Enriques surfaces (2005) (43)
Non-abelian Cohomology and Rational Points (2002) (43)
Weak approximation for surfaces defined by two quadratic forms (1991) (43)
Del Pezzo surfaces of degree four (1989) (42)
The Brauer group of Kummer surfaces and torsion of elliptic curves (2009) (42)
Rational points on pencils of conics and quadrics with many degenerate fibres (2012) (42)
2-Descent on elliptic curves and rational points on certain Kummer surfaces (2005) (42)
Good reduction of the Brauer-Manin obstruction (2010) (39)
Descent on fibrations over P1k revisited (2000) (36)
On a theorem of Enriques - Swinnerton-Dyer (1993) (36)
Del Pezzo surfaces and representation theory (2006) (33)
Odd order Brauer-Manin obstruction on diagonal quartic surfaces (2013) (32)
The Hardy–Littlewood conjecture and rational points (2013) (31)
The Brauer group and the Brauer-Manin set of products of varieties (2011) (31)
Finiteness theorems for K3 surfaces and abelian varieties of CM type (2017) (31)
Descent obstruction is equivalent to étale Brauer–Manin obstruction (2009) (30)
Exponential sums and rational points on complete intersections (1990) (30)
Exponential sums, the geometry of hyperplane sections, and some diophantine problems (1992) (28)
Groupe de Chow des z?ro-cycles sur les fibr?s en quadriques (1993) (25)
Pathologies of the Brauer–Manin obstruction (2013) (24)
Kummer varieties and their Brauer groups (2016) (24)
Cascades of projections from log del Pezzo surfaces (2004) (22)
Singular curves and the etale Brauer-Manin obstruction for surfaces (2012) (21)
Hasse principle for Kummer varieties (2015) (21)
FAILURE OF THE HASSE PRINCIPLE FOR ATKIN-LEHNER QUOTIENTS OF SHIMURA CURVES OVER Q (2004) (21)
The Brauer–Grothendieck Group (2021) (21)
Arithmetic on certain quadric bundles of relative dimension 2. I. (1990) (19)
Number Theory and Algebraic Geometry: Valeurs d'un polynôme à une variable représentées par une norme (2004) (19)
Formula for the number of [9, 3] MDS codes (1995) (18)
R-equivalence on conic bundles of degree 4 (1987) (17)
Del Pezzo surfaces of degree 4 and their relation to Kummer surfaces (2010) (17)
Shimura coverings of Shimura curves and the Manin obstruction (2005) (16)
Norms as products of linear polynomials (2012) (15)
TORSORS AND RATIONAL POINTS (Cambridge Tracts in Mathematics 144) By ALEXEI SKOROBOGATOV: 187 pp., 35.00, ISBN 0-521-80237-7 (Cambridge University Press, 2001) (2003) (14)
On a Shimura Curve That is a Counterexample to the Hasse Principle (2003) (14)
On the equations for universal torsors over del Pezzo surfaces (2008) (13)
Descent on certain Shimura curves (2004) (13)
Linear codes, strata of Grassmannians, and the problems of segre (1992) (13)
The Brauer group of torsors and its arithmetic applications (2003) (12)
On the elementary obstruction to the existence of rational points (2007) (12)
On the number of representations of matroids over finite fields (1996) (11)
Descente galoisienne sur le groupe de Brauer (2013) (11)
The parameters of subcodes of algebraic-geometric codes over prime subfields (1991) (11)
On the Hasse principle for bielliptic surfaces (2004) (10)
Schinzel Hypothesis with probability 1 and rational points (2020) (9)
Pseudo-split fibers and arithmetic surjectivity (2017) (9)
Cohomology and the Brauer Group of Double Covers (2017) (9)
On uniformity conjectures for abelian varieties and K3 surfaces (2018) (8)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The combinatorics and geometry of del Pezzo surfaces of degree four (1985) (7)
Torsors, Étale Homotopy and Applications to Rational Points: Descent theory for open varieties (2010) (7)
A finiteness theorem for the Brauer group of K3 surfaces in odd characteristic (2014) (7)
WEIGHT DISTRIBUTIONS OF SUBFIELD SUBCODES OF ALGEBRAIC-GEOMETRICAL CODES (1991) (6)
Dénombrement des configurations dans le plan projectif (1996) (6)
Corrigendum to “Odd order Brauer–Manin obstruction on diagonal quartic surfaces” [Adv. Math. 270 (2015) 181–205] (2017) (4)
Schinzel Hypothesis on average and rational points (2020) (4)
Cohomology and the Brauer groups of diagonal surfaces (2019) (4)
On the Number of Representations of Matroids Over FiniteFields (1996) (4)
Invariant Brauer group of an abelian variety (2020) (4)
Adjoint representation of E_8 and del Pezzo surfaces of degree 1 (2010) (4)
Arithmetic and Geometry: Descent on toric fibrations (2013) (3)
Automorphisms and forms of toric quotients of homogeneous spaces (2009) (3)
Abélianisation des espaces homogènes et applications arithmétiques (2013) (3)
ARITHMETIC GEOMETRY: RATIONAL POINTS (2013) (3)
Enriques surfaces with a dense set of rational points (2001) (3)
Birational invariants of rational surfaces (1986) (3)
Reduction of Kummer surfaces modulo 2 in the non-supersingular case (2022) (3)
Sur le groupe de Brauer transcendant (2011) (2)
Number theory and algebraic geometry : to Peter Swinnerton-Dyer on his 75th birthday (2003) (2)
RATIONAL POINTS ON HIGHER-DIMENSIONAL VARIETIES (2015) (2)
Abelian varieties over local and global fields (2016) (2)
Lie algebras (2007) (1)
On the Hasse principle for Atkin-Lehner quotients of Shimura curves (2004) (1)
Adjoint representation of $\text{\upshape E}_8$ and del Pezzo surfaces of degree $1$ (2011) (1)
Pathologies of the Brauer–Manin obstruction (2015) (1)
Torsors and Rational Points: Abelian descent on conic bundle surfaces (2001) (1)
LOCAL-GLOBAL PRINCIPLE FOR RATIONAL POINTS AND ZERO-CYCLES ARIZONA WINTER SCHOOL 2015 (2015) (1)
Torsors, Étale Homotopy and Applications to Rational Points: A very brief introduction to étale homotopy (2013) (1)
Approximation faible pour les intersections de deux quadriques en dimension 3 (1992) (1)
The Brauer–Manin obstruction for zero-cycles (2021) (1)
In lieu of birthday greetings (2003) (1)
Varieties with a group action (2021) (0)
Memorial Tribute: Peter Swinnerton-Dyer (1927–2018) (2019) (0)
N T ] 8 O ct 2 02 0 SCHINZEL HYPOTHESIS ON AVERAGE AND RATIONAL POINTS (2021) (0)
Generic diagonal conic bundles revisited (2022) (0)
Norms as products of linear polynomials Damaris Schindler and (2014) (0)
Torsors and Rational Points: References (2001) (0)
Étale cohomology (2021) (0)
Torsors, Étale Homotopy and Applications to Rational Points: Preface (2013) (0)
Number Theory and Algebraic Geometry: Frontmatter (2004) (0)
The Tate conjecture, abelian varieties and K3 surfaces (2021) (0)
TORSORS AND THE BRAUER GROUP IN NUMBER THEORY (2007) (0)
Non-abelian descent on bielliptic surfaces (2001) (0)
Examples of torsors (2001) (0)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Maximal tori in semisimple groups and rational surfaces (1986) (0)
Varieties over a field (2021) (0)
Mathematische Zeitschrift Pathologies of the Brauer – Manin obstruction (2015) (0)
Torsors and representation theory of reductive groups (2013) (0)
A G ] 1 0 Ju l 2 02 0 Invariant Brauer group of an abelian variety (2020) (0)
Arithmetic of K 3 Surfaces (2009) (0)
Schemes over local rings and fields (2021) (0)
Brauer groups of schemes (2021) (0)
Severi–Brauer varieties and hypersurfaces (2021) (0)
Algebra IV (2017) (0)
Birational invariance (2021) (0)
The Brauer–Manin set and the formal lemma (2021) (0)
Mainz lectures (2017) (0)
Singular schemes and varieties (2021) (0)
Peter Swinnerton-Dyer (1927–2018) (2019) (0)
Rationality in a family (2021) (0)
Torsors: general theory (2001) (0)
Torsors and Rational Points: Obstructions over number fields (2001) (0)
Bernoulli models of Euler factors 6 3 . Möbius randomness law 9 4 . Dispersion 16 5 (2020) (0)
Are rational points dense in the Brauer–Manin set? (2021) (0)
On the transcendental Brauer group (2011) (0)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The Kuga-Satake variety of a Kummer surface (1985) (0)
Galois cohomology (2021) (0)
Algebraic Geometry (2006) (0)
Number Theory and Algebraic Geometry: Peter Swinnerton-Dyer's mathematical papers to date (2004) (0)
Professor Rabkin's alphabet. (1973) (0)
Torsors and Rational Points: Introduction (2001) (0)
The Discovery of the Conjecture of Birch and Swinnerton-Dyer (1969) (0)
Mathematical Proceedings of the (2000) (0)
Torsors and Rational Points: DESCENT AND MANIN OBSTRUCTION (2001) (0)
Torsors and Rational Points: Abelian descent and Manin obstruction (2001) (0)
Homogeneous spaces and non-abelian cohomology (2001) (0)
The Brauer group and families of varieties (2021) (0)
Comparing the two Brauer groups, II (2021) (0)
Invariant Brauer group of an abelian variety (2022) (0)
On supposera le lecteur familier avec la série de trois textes de Grothendieck (0)
ENRIQUES INVOLUTIONS AND BRAUER CLASSES (2022) (0)

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Alexei Skorobogatov's Published Works

Published Works

Other Resources About Alexei Skorobogatov

What Schools Are Affiliated With Alexei Skorobogatov?

Alexei Skorobogatov's AcademicInfluence.com Rankings