{"paper":{"title":"On the topological type of a set of plane valuations with symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A. Campillo, F. Delgado, S.M. Gusein-Zade","submitted_at":"2016-04-27T17:43:13Z","abstract_excerpt":"Let $\\{C_i : i=1,\\ldots,r\\}$ be a set of irreducible plane curve singularities. For an action of a finite group $G$, let $\\Delta^{L}(\\{t_{a i}\\})$ be the Alexander polynomial in $r\\vert G\\vert$ variables of the algebraic link $(\\bigcup\\limits_{i=1}^{r}\\bigcup\\limits_{a\\in G}a C_i )\\cap S^3_{\\varepsilon}$ and let $\\zeta(t_1,\\ldots, t_r) = \\Delta^{L}(t_1,\\ldots,t_1,t_2,\\ldots,t_2, \\ldots,t_r,\\ldots,t_r)$ with $\\vert G\\vert$ identical variables in each group. (If $r=1$, $\\zeta(t)$ is the monodromy zeta function of the function germ $\\prod\\limits_{a\\in G} a^*f$, where $f=0$ is an equation defining"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08152","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}