{"paper":{"title":"New explicit formulas for Faltings' delta-invariant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Robert Wilms","submitted_at":"2016-05-03T11:40:42Z","abstract_excerpt":"In this paper we give new explicit formulas for Faltings' $\\delta$-invariant in terms of integrals of theta functions, and we deduce an explicit lower bound for $\\delta$ only in terms of the genus and an explicit upper bound for the Arakelov-Green function in terms of $\\delta$. Furthermore, we give a canonical extension of $\\delta$ and the Zhang-Kawazumi invariant $\\varphi$ to the moduli space of indecomposable principally polarised complex abelian varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00847","kind":"arxiv","version":3},"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"}