This is an announcement for the paper "Zero subspaces of polynomials on l1(Gamma)" by Antonio Aviles and Stevo Todorcevic. Abstract: We provide two examples of complex homogeneous quadratic polynomials P on Banach spaces of the form l_1(I). The first polynomial P has both separable and nonseparable maximal zero subspaces. The second polynomial P has the property that while the index-set I is not countable, all zero subspaces of P are separable. Archive classification: math.FA math.LO Mathematics Subject Classification: 46B26, 47H60 Citation: J. Math. Anal. Appl. 350, No. 2, 427-435 (2009) Remarks: Published in special issue dedicated to Isaac Namioka The source file(s), polynomials3.tex: 39718 bytes, is(are) stored in gzipped form as 0903.2374.gz with size 13kb. The corresponding postcript file has gzipped size 89kb. Submitted from: avileslo@um.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0903.2374 or http://arXiv.org/abs/0903.2374 or by email in unzipped form by transmitting an empty message with subject line uget 0903.2374 or in gzipped form by using subject line get 0903.2374 to: math@arXiv.org.