{"paper":{"title":"Moduli spaces $M_{g,n}(W)$ for surfaces","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"Valery Alexeev","submitted_at":"1994-10-05T11:27:39Z","abstract_excerpt":"We construct and prove the projectiveness of the moduli spaces which are natural generalizations to the case of surfaces of the following:\n  1) $M_{g,n}$, the moduli space of $n$-marked stable curves,\n  2) $M_{g,n}(W)$, the moduli space of $n$-marked stable maps to a variety $W$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9410003","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"}