Parusiński's "Key Lemma" via algebraic geometry
| dc.creator | Reichstein, Zinovy | |
| dc.creator | Youssin, Boris | |
| dc.date | 1999-10-13 | |
| dc.date | 1999-10-26 | |
| dc.date.accessioned | 2026-07-07T05:31:08Z | |
| dc.date.available | 2026-07-07T05:31:08Z | |
| dc.description | The following ``Key Lemma'' plays an important role in Parusinski's work on the existence of Lipschitz stratifications in the class of semianalytic sets: For any positive integer n, there is a finite set of homogeneous symmetric polynomials W_1,...,W_N in Z[x_1,...,x_n] and a constant M >0 such that |dx_i/x_i| \le M \max_{j = 1,..., N} |dW_j/W_j| as densely defined functions on the tangent bundle of C^n. We give a new algebro-geometric proof of this result. | |
| dc.description | Only abstract has been changed in this revision. AMS LaTeX 1.1, 10 pages. Author-supplied dvi file available at http://ucs.orst.edu/~reichstz/pub.html | |
| dc.identifier | https://arxiv.org/abs/math/9910064 | |
| dc.identifier | http://arxiv.org/abs/math/9910064 | |
| dc.identifier | Electronic Research Announcements of AMS 5 (1999), 136-145. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79234 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Parusiński's "Key Lemma" via algebraic geometry | |
| dc.type | text |