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Pairs of quadrics in 11 variables

Part of: Diophantine equations

Published online by Cambridge University Press:  23 March 2015

Ritabrata Munshi
Ritabrata Munshi*
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, 1, Dr Homi Bhabha Road, Colaba, Mumbai 400005, India email [email protected]
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Abstract

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For non-singular intersections of pairs of quadrics in 11 or more variables, we prove an asymptotic for the number of rational points in an expanding box.

Keywords

circle methodquadratic formsrational points

MSC classification

Primary: 11D72: Equations in many variables
Type
Research Article
Information
Compositio Mathematica , Volume 151 , Issue 7 , July 2015 , pp. 1189 - 1214
Copyright
© The Author 2015 

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