Journal article
Forms in many variables and differing degrees
- Abstract:
- We generalise Birch's seminal work on forms in many variables to handle a system of forms in which the degrees need not all be the same. This allows us to prove the Hasse principle, weak approximation, and the Manin-Peyre conjecture for a smooth and geometrically integral variety X Pm, provided only that its dimension is large enough in terms of its degree.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 394.5KB, Terms of use)
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- Publisher copy:
- 10.4171/JEMS/668
Authors
- Publisher:
- European Mathematical Society
- Journal:
- Journal of the European Mathematical Society More from this journal
- Volume:
- 19
- Issue:
- 2
- Pages:
- 357-394
- Publication date:
- 2017-01-26
- Acceptance date:
- 2016-11-28
- DOI:
- EISSN:
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1435-9863
- ISSN:
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1435-9855
- Keywords:
- Pubs id:
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pubs:925799
- UUID:
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uuid:dc5bc60a-3569-4a2d-a983-e36c9c9b364a
- Local pid:
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pubs:925799
- Source identifiers:
-
925799
- Deposit date:
-
2018-12-12
Terms of use
- Copyright holder:
- European Mathematical Society
- Copyright date:
- 2017
- Notes:
- © European Mathematical Society 2017. This is the accepted manuscript version of the article. The final version is available online from European Mathematical Society at: https://doi.org/10.4171/JEMS/668
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