A G ] 8 O ct 2 01 7 Polynomial maps with nilpotent Jacobians in dimension three I

Content Provider	Semantic Scholar
Copyright Year	2018
Abstract	In this paper, we first prove that u, v, h are linearly dependent over K if JH is nilpotent and H has the form: H = (u(x, y, z), v(u, h), h(x, y)) with H(0) = 0 or H = (u(x, y), v(u, h), h(x, y, z)) with H(0) = 0. Then we classify polynomial maps of the form H = (u(x, y), v(x, y, z), h(x, y)) in the case that JH is nilpotent and (degy u,degy h) ≤ 2.
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://export.arxiv.org/pdf/1710.02800
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article