Newton polytopes of invariants of additive group actions

Authors
Derksen, H Hadas, O Makar-Limanov, L
Citation
H. Derksen et al., Newton polytopes of invariants of additive group actions, J PURE APPL, 156(2-3), 2001, pp. 187-197
Citations number
1
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
156
Issue
2-3
Year of publication
2001
Pages
187 - 197
Database
ISI
SICI code
0022-4049(20010223)156:2-3<187:NPOIOA>2.0.ZU;2-G
Abstract
It is shown that the vertices of Newton polytopes of invariants of an algeb raic group action of the additive group of a field k of arbitrary character istic on affine n-space over k lie on the coordinate hyperplanes. Furthermo re, let E be the set of all edges of these Newton polytopes whose vertices lie in different coordinate hyperplanes. It is shown that one of these poly topes has edges with all directions represented in E. (C) 2001 Elsevier Sci ence B.V. All rights reserved. MSC: 13.