This is an announcement for the paper "Two-dimensional Banach spaces with polynomial numerical index zero" by Domingo Garcia, Bogdan Grecu, Manuel Maestre, Miguel Martin, and Javier Meri . Abstract: We study two-dimensional Banach spaces with polynomial numerical indices equal to zero. Archive classification: math.FA Mathematics Subject Classification: Primary 46B04; Secondary 46B20, 46G25, 47A12 Remarks: 12 pages, to appear in Linear Algebra Appl The source file(s), GarciaGrecuMaestreMartinMeri.tex: 43362 bytes, is(are) stored in gzipped form as 0902.3234.gz with size 14kb. The corresponding postcript file has gzipped size 103kb. Submitted from: mmartins@ugr.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0902.3234 or http://arXiv.org/abs/0902.3234 or by email in unzipped form by transmitting an empty message with subject line uget 0902.3234 or in gzipped form by using subject line get 0902.3234 to: math@arXiv.org.