Pairs of quadrics in 11 variables-Reference-Cited by-同舟云学术

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Pairs of quadrics in 11 variables

Published:2015-03-23 Issue:7 Volume:151 Page:1189-1214
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Munshi Ritabrata

Abstract

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.

Publisher

Wiley

Subject

Algebra and Number Theory

Reference19 articles.

1. [Rei72] M. Reid , The complete intersection of two or more quadrics, PhD thesis, Cambridge (1972).

2. [Hea13] D. R. Heath-Brown , Zeros of pairs of quadratic forms, Preprint (2013), arXiv:1304.3894.

3. Zeros of systems of 𝔭-adic quadratic forms

4. Cubic forms in 14 variables

5. A new form of the circle method, and its applications to quadratic forms;Heath-Brown;J. Reine. Angew. Math.,1996

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