Imperial College London

ProfessorAlexeiSkorobogatov

Faculty of Natural SciencesDepartment of Mathematics

Professor of Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8493a.skorobogatov Website

 
 
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Location

 

664Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

64 results found

Orr M, Skorobogatov AN, 2018, Finiteness theorems for K3 surfaces and abelian varieties of CM type, COMPOSITIO MATHEMATICA, Vol: 154, Pages: 1571-1592, ISSN: 0010-437X

JOURNAL ARTICLE

Skorobogatov AN, 2017, Cohomology and the Brauer group of double covers, Brauer Groups and Obstruction Problems Moduli Spaces and Arithmetic, Publisher: Birkhäuser, ISBN: 9783319468525

BOOK CHAPTER

Ieronymou E, Skorobogatov AN, 2017, Odd order Brauer-Manin obstruction on diagonal quartic surfaces (vol 270, pg 181, 2015), ADVANCES IN MATHEMATICS, Vol: 307, Pages: 1372-1377, ISSN: 0001-8708

JOURNAL ARTICLE

Skorobogatov AN, Zarhin YG, 2017, Kummer varieties and their Brauer groups, PURE AND APPLIED MATHEMATICS QUARTERLY, Vol: 13, Pages: 337-368, ISSN: 1558-8599

JOURNAL ARTICLE

Colliot-Thelene J-L, Pal A, Skorobogatov AN, 2016, Pathologies of the Brauer-Manin obstruction, MATHEMATISCHE ZEITSCHRIFT, Vol: 282, Pages: 799-817, ISSN: 0025-5874

JOURNAL ARTICLE

Harpaz Y, Skorobogatov AN, 2016, Hasse principle for Kummer varieties, ALGEBRA & NUMBER THEORY, Vol: 10, Pages: 813-841, ISSN: 1937-0652

JOURNAL ARTICLE

Ieronymou E, Skorobogatov AN, 2015, Odd order Brauer-Manin obstruction on diagonal quartic surfaces, ADVANCES IN MATHEMATICS, Vol: 270, Pages: 181-205, ISSN: 0001-8708

JOURNAL ARTICLE

Skorobogatov AN, Zarhin YG, 2015, A Finiteness Theorem for the Brauer Group of K3 Surfaces in Odd Characteristic, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, Pages: 11404-11418, ISSN: 1073-7928

JOURNAL ARTICLE

Harpaz Y, Skorobogatov AN, Wittenberg O, 2014, The Hardy-Littlewood conjecture and rational points, COMPOSITIO MATHEMATICA, Vol: 150, Pages: 2095-2111, ISSN: 0010-437X

JOURNAL ARTICLE

Harpaz Y, Skorobogatov AN, 2014, SINGULAR CURVES AND THE ETALE BRAUER-MANIN OBSTRUCTION FOR SURFACES, ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, Vol: 47, Pages: 765-778, ISSN: 0012-9593

JOURNAL ARTICLE

Browning TD, Matthiesen L, Skorobogatov AN, 2014, Rational points on pencils of conics and quadrics with many degenerate fibres, ANNALS OF MATHEMATICS, Vol: 180, Pages: 381-402, ISSN: 0003-486X

JOURNAL ARTICLE

Schindler D, Skorobogatov A, 2014, Norms as products of linear polynomials, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Vol: 89, Pages: 559-580, ISSN: 0024-6107

JOURNAL ARTICLE

Skorobogatov AN, Zarhin YG, 2014, The Brauer group and the Brauer-Manin set of products of varieties, JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, Vol: 16, Pages: 749-768, ISSN: 1435-9855

JOURNAL ARTICLE

Colliot-Thelene J-L, Skorobogatov AN, 2013, Galois descent on the Brauer group, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Vol: 682, Pages: 141-165, ISSN: 0075-4102

JOURNAL ARTICLE

Hausen J, Schlank TM, Skorobogatov AN, Serganova V, Arzhantsev I, Demarche C, Derenthal U, Janda F, Gille P, Moret-Bailly L, Harari D, Herppich E, Laface A, Testa D, Preu T, Harpaz Yet al., 2013, Torsors, Étale Homotopy and Applications to Rational Points, Publisher: Cambridge University Press, ISBN: 9781107616127

Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.

BOOK

Colliot-Thelene J-L, Skorobogatov AN, 2013, GOOD REDUCTION OF THE BRAUER-MANIN OBSTRUCTION, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 365, Pages: 579-590, ISSN: 0002-9947

JOURNAL ARTICLE

Skorobogatov AN, Zarhin YG, 2012, The Brauer group of Kummer surfaces and torsion of elliptic curves, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Vol: 666, Pages: 115-140, ISSN: 0075-4102

JOURNAL ARTICLE

Ieronymou E, Skorobogatov AN, Zarhin YG, 2011, On the Brauer group of diagonal quartic surfaces, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Vol: 83, Pages: 659-672, ISSN: 0024-6107

JOURNAL ARTICLE

Serganova VV, Skorobogatov AN, 2011, ADJOINT REPRESENTATION OF E-8 AND DEL PEZZO SURFACES OF DEGREE 1, ANNALES DE L INSTITUT FOURIER, Vol: 61, Pages: 2337-2360, ISSN: 0373-0956

JOURNAL ARTICLE

Serganova VV, Skorobogatov AN, 2010, ON THE EQUATIONS FOR UNIVERSAL TORSORS OVER DEL PEZZO SURFACES, JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, Vol: 9, Pages: 203-223, ISSN: 1474-7480

JOURNAL ARTICLE

Skorobogatov AN, 2009, Automorphisms and forms of toric quotients of homogeneous spaces, SBORNIK MATHEMATICS, Vol: 200, Pages: 1521-1536, ISSN: 1064-5616

JOURNAL ARTICLE

Skorobogatov A, 2009, Descent obstruction is equivalent to ,tale Brauer-Manin obstruction, MATHEMATISCHE ANNALEN, Vol: 344, Pages: 501-510, ISSN: 0025-5831

JOURNAL ARTICLE

Skorobogatov AN, Zarhin YG, 2008, FINITENESS THEOREM FOR THE BRAUER GROUP OF ABELIAN VARIETIES AND K3 SURFACES, JOURNAL OF ALGEBRAIC GEOMETRY, Vol: 17, Pages: 481-502, ISSN: 1056-3911

JOURNAL ARTICLE

Borovoi M, Colliot-Thelene J-L, Skorobogatov AN, 2008, The elementary obstruction and homogeneous spaces, DUKE MATHEMATICAL JOURNAL, Vol: 141, Pages: 321-364, ISSN: 0012-7094

JOURNAL ARTICLE

Skorobogatov AN, Zarhin YG, 2008, A finiteness theorem for the Brauer group of abelian varieties and K3 surfaces., J. Alg. Geom

JOURNAL ARTICLE

Serganova VV, Skorobogatov AN, 2007, Del Pezzo surfaces and representation theory, ALGEBRA & NUMBER THEORY, Vol: 1, Pages: 393-419, ISSN: 1937-0652

JOURNAL ARTICLE

Skorobogatov AN, 2007, On the elementary obstruction to the existence of rational points, MATHEMATICAL NOTES, Vol: 81, Pages: 97-107, ISSN: 0001-4346

JOURNAL ARTICLE

Skorobogatov A, Swinnerton-Dyer P, 2005, 2-Descent on elliptic curves and rational points on certain Kummer surfaces, ADVANCES IN MATHEMATICS, Vol: 198, Pages: 448-483, ISSN: 0001-8708

JOURNAL ARTICLE

Harari D, Skorobogatov A, 2005, Non-Abelian descent and the arithmetic of enriques surfaces, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, Pages: 3203-3228, ISSN: 1073-7928

JOURNAL ARTICLE

Skorobogatov A, 2005, Shimura coverings of Shimura curves and the Manin obstruction, MATHEMATICAL RESEARCH LETTERS, Vol: 12, Pages: 779-788, ISSN: 1073-2780

JOURNAL ARTICLE

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