Autor:	Browning, T. D., Heath-Brown, D. R.
Rok vydání:	2014
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry 11G35 (11P55 14G05)
Druh dokumentu:	Working Paper
Popis:	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 projective variety, provided only that its dimension is large enough in terms of its degree. Comment: 44 pages; Lemma 8.2 corrected
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.5937 Zobrazit plný text záznamu View this record from Arxiv