{"paper":{"title":"Basic vector valued Siegel modular forms of genus two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Eberhard Freitag, Riccardo Salvati Manni","submitted_at":"2013-12-24T13:05:21Z","abstract_excerpt":"We study over rings of scalar valued Siegel modular forms. modules of vector valued modular forms of degree two.\n  For the two simplest representations, standard and Sym^2, appears rather natural consider the cases of the group $\\Gamma[4,8] $ and $\\Gamma[2,4].$\n  In these case we give the complete structure of the modules . The main tools are Theta functions and their derivatives evaluated at $z=0$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6811","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"}