Imperial College London
Alternate

ProfessorAlexeiSkorobogatov

Faculty of Natural Sciences, Department 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

Citation

BibTex format

@article{Skorobogatov:2023:10.1007/s00222-022-01153-6,
author = {Skorobogatov, AN and Sofos, E},
doi = {10.1007/s00222-022-01153-6},
journal = {Inventiones Mathematicae},
pages = {673--739},
title = {Schinzel Hypothesis on average and rational points},
url = {http://dx.doi.org/10.1007/s00222-022-01153-6},
volume = {231},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We resolve Schinzel’s Hypothesis (H) for 100% of polynomials of arbitrary degrees. We deduce that a positive proportion of diagonal conic bundles over Q with any given number of degenerate fibres have a rational point, and obtain similar results for generalised Châtelet equations.
AU  - Skorobogatov,AN
AU  - Sofos,E
DO  - 10.1007/s00222-022-01153-6
EP  - 739
PY  - 2023///
SN  - 0020-9910
SP  - 673
TI  - Schinzel Hypothesis on average and rational points
T2  - Inventiones Mathematicae
UR  - http://dx.doi.org/10.1007/s00222-022-01153-6
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000861160100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007/s00222-022-01153-6
UR  - http://hdl.handle.net/10044/1/100334
VL  - 231
ER  -
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