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We prove that an algebraic principal $G$--bundle $E_G\\to M$ admits a $T$--equivariant structure if and only if $E_G$ admits a logarithmic connection singular over $D$. If $E_H\\to M$ is a $T$-equivariant algebraic principal $H$--bundle, where $H$ is any complex affine algebraic group, then $E_H$ in fact has a canonical integrable logarithmic connection si"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1507.02415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-07-09T08:35:01Z","cross_cats_sorted":[],"title_canon_sha256":"76f7b4c558d3689297ff67399fa633b84128df91aaf97dfb97bbfeb36caa954b","abstract_canon_sha256":"4d0c54a560b406fc1bcb71302ccede645b59c802ced189140bd5b53486f6399c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:06.790283Z","signature_b64":"pxXp0rC8+yrMfEE/NePbfX/03GB9rZVqBsxkMSvRXDDzBK7hKFPhto8Uup8T47/2LPh+fxCnykLbEPL3xhpGCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2626ad33154edf6c51ad44c6017a092df71dae174e862cd0f3be538cbfcd1a4a","last_reissued_at":"2026-05-18T01:37:06.789701Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:06.789701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivariant principal bundles and logarithmic connections on toric varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arijit Dey, Indranil Biswas, Mainak Poddar","submitted_at":"2015-07-09T08:35:01Z","abstract_excerpt":"Let $M$ be a smooth complex projective toric variety equipped with an action of a torus $T$, such that the complement $D$ of the open $T$--orbit in $M$ is a simple normal crossing divisor. Let $G$ be a complex reductive affine algebraic group. We prove that an algebraic principal $G$--bundle $E_G\\to M$ admits a $T$--equivariant structure if and only if $E_G$ admits a logarithmic connection singular over $D$. 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