{"paper":{"title":"The space of nodal curves of type p,q with given Weierstra\\ss semigroup","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"(2) Fakult\\\"at f\\\"ur Mathematik, Ernst Kunz (2), Georg-Simon-Ohm-Hochschule N\\\"urnberg, Germany, Germany), Helmut Knebl (1), Rolf Waldi (2) ((1) Fakult\\\"at Informatik, Universit\\\"at Regensburg","submitted_at":"2011-06-30T19:09:07Z","abstract_excerpt":"We continue the investigation of curves of type p,q started in [KKW]. We study the space of such curves and the space of nodal curves with prescribed Weierstra\\ss semigroup. A necessary and sufficient criterion for a numerical semigroup to be a Weierstra\\ss semigroup is given. We find a class of Weierstra\\ss semigroups which apparently has not yet been described in the literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.6343","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"}