Journal article
Zeros of pairs of quadratic forms
- Abstract:
- We prove the Hasse principle and weak approximation for varieties defined over number fields by the nonsingular intersection of pairs of quadratic forms in eight variables. The argument develops work of Colliot-Thélène, Sansuc and Swinnerton-Dyer, and centres on a purely local problem about forms which split off three hyperbolic planes.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 462.4KB, Terms of use)
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- Publisher copy:
- 10.1515/crelle-2015-0062
Authors
- Publisher:
- De Gruyter
- Journal:
- Journal für die reine und angewandte Mathematik More from this journal
- Volume:
- 2018
- Issue:
- 739
- Pages:
- 41-80
- Publication date:
- 2015-10-14
- Acceptance date:
- 2015-01-29
- DOI:
- EISSN:
-
1435-5345
- ISSN:
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0075-4102
- Language:
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English
- Pubs id:
-
652995
- Local pid:
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pubs:652995
- Deposit date:
-
2020-03-25
Terms of use
- Copyright holder:
- De Gruyter
- Copyright date:
- 2015
- Rights statement:
- © 2015 De Gruyter.
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