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One might wonder when is $P^n_m$ the moduli space of representations of $Q$ with dimension vector $(1,\\ldots,1)$ for a suitably chosen stability condition $\\theta$: $S\\cong M_\\theta$. In this paper, we achieve such isomorphism using $\\mathcal{L}$ of length $3$. As a result, $P^n_m$ is the moduli space of representations of a very simple q"},"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":"1804.09544","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-23T23:20:06Z","cross_cats_sorted":[],"title_canon_sha256":"00515aad054c7a7c9d597caaa4e9f3fc661037cce982091a737d000573423556","abstract_canon_sha256":"3ea9b7245010f6f12ba7d34a7389f3d0ba1778b1459b72c5e18b3bfed8c8a1f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:15.863218Z","signature_b64":"NqG2rGn9LlahhA8vp7cM/E2nYaM/Pj/h7flhGF1yfZ7POr4OY5ZJDfJO2hvPEb4eHpN0MBu/nenXz5pOcUwpCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a93914d796612a6c54d618bd1e58392666c05aa9acfb091d4f1fed40d60c655a","last_reissued_at":"2026-05-18T00:16:15.862563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:15.862563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Blow ups of $\\mathbb{P^n}$ as quiver moduli for exceptional collections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Xuqiang Qin","submitted_at":"2018-04-23T23:20:06Z","abstract_excerpt":"Suppose $P^n_m$ is the blow up of $\\mathbb{P}^n$ at a linear subspace of dimension $m$, $\\mathcal{L}=\\{L_1,\\ldots,L_r\\}$ is a (not necessarily full) strong exceptional collection of line bundles on $P^n_m$. 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