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In particular, in the case of a quasihomogeneous isolated singularity $f$, we generalize a formula for $\\mathcal{L}_{0}(f)$ of Krasi\\'nski, Oleksik and P{\\l}oski ([KOP09]) from $3$ to $n$ dimensions. This was previously announced in [TYZ10], but as a matter of fact it has not been proved correctly there, as noticed by the AMS reviewer T. Krasi\\'nski.\n  As a consequence of our result, we get that"},"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":"1405.5179","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-20T18:11:46Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"2cdbdf5aedd675be7a68433ffb6b9d9ce6f0de4a161e9299219962c011ee674d","abstract_canon_sha256":"b888e7fa51b8114bd591a44e2353aa6a6afcffc1506985972728d70a6d143e58"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:25.919767Z","signature_b64":"C7pvVsBz2dAtfkMeLg/BQIvmNzilFjhNxs+Tfd6NIQmOl1StpUlSeXYEOiqf0gnPym/hD8En1YJQUs8WFn1DDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5617adaa8c5e5360058c535bdd2f69e04e6de9b58c6f6cb55d705b5f15f45138","last_reissued_at":"2026-05-18T02:51:25.919171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:25.919171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The {\\L}ojasiewicz Exponent of Semiquasihomogeneous Singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Computer Science, Poland), Szymon Brzostowski (1) ((1) Faculty of Mathematics, University of \\L\\'od\\'z","submitted_at":"2014-05-20T18:11:46Z","abstract_excerpt":"Let $f: (\\mathbb{C}^n,0) \\rightarrow (\\mathbb{C},0)$ be a semiquasihomogeneous function. 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