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

58 results found

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

BOOK CHAPTER

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

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

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

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

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

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

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

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

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, 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

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

Colliot-Thelene JL, Harari D, Skorobogatov AN, 2005, Equivariant compactification of a torus (According to Brylinski and Kuennemann), EXPOSITIONES MATHEMATICAE, Vol: 23, Pages: 161-170, ISSN: 0723-0869

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

Rotger V, Skorobogatov A, Yafaev A, 2005, FAILURE OF THE HASSE PRINCIPLE FOR ATKIN-LEHNER QUOTIENTS OF SHIMURA CURVES OVER Q, MOSCOW MATHEMATICAL JOURNAL, Vol: 5, Pages: 463-476, ISSN: 1609-3321

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

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

Skorobogatov A, Yafaev A, 2004, Descent on certain Shimura curves, ISRAEL JOURNAL OF MATHEMATICS, Vol: 140, Pages: 319-332, ISSN: 0021-2172

JOURNAL ARTICLE

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