Every Ternary Quintic is a Sum of Ten Fifth Powers

Autor:	De Paris, Alessandro
Rok vydání:	2014
Předmět:	Mathematics - Algebraic Geometry Mathematics - Commutative Algebra Mathematics - Rings and Algebras 15A21 15A69 15A72 14A25 14N05 14N15
Zdroj:	Int. J. Algebra Comput. 25, No. 4, 607-631 (2015)
Druh dokumentu:	Working Paper
DOI:	10.1142/S0218196715500125
Popis:	To our knowledge at the time of writing, the maximum Waring rank for the set of all ternary forms of degree $d$ (with coefficients in an algebraically closed field of characteristic zero) is known only for $d\le 4$. The best upper bound that is known for $d=5$ is twelve, and in this work we lower it to ten. Comment: Relevant information added in the footnote (1) at p. 2
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1409.7643 Zobrazit plný text záznamu View this record from Arxiv