Forms in many variables and differing degrees
نویسندگان
چکیده
منابع مشابه
Forms in Many Variables and Differing Degrees
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 ⊆ P, provided only that its dimension is large enough in terms of its degree.
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2017
ISSN: 1435-9855
DOI: 10.4171/jems/668