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Consequently, we combinatorially describe the singular locus of the Peterson variety; give an explicit equivariant K-theory localization formula; and extend some results of [B. Kostant '96] and of D. Peterson to intersections of Peterson varieties with Schubert varieties. We conjecture that the projectivized tangent cones are Cohen-Macaulay, and that their h-polynomials are nonnegative and up"},"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":"1101.3255","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-17T16:22:13Z","cross_cats_sorted":["math.AC","math.CO"],"title_canon_sha256":"487d777206483804b9ea6e946e23983cbf8a56f225203ca5c5c7b29ebd165fd0","abstract_canon_sha256":"5d9027456bf917325faedd0a9bb78f2b3ff88d298c24a490ef36ceb92dc5e830"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:43.850301Z","signature_b64":"g1s1296YNwz0GjVU6LqgNHJm65YRqMlrh8E54oD7Lmx1rZReXdOa2xf6BSdEirZmJHH0+xMXO50YDGXB9/Q0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62451e6150d47a416cad8feefd426e3635bcb082e0b27d9f8e9b35e93aab96b3","last_reissued_at":"2026-05-18T03:39:43.849878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:43.849878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Patch ideals and Peterson varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.CO"],"primary_cat":"math.AG","authors_text":"Alexander Yong, Erik Insko","submitted_at":"2011-01-17T16:22:13Z","abstract_excerpt":"Patch ideals encode neighbourhoods of a variety in GL_n/B. 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