{"paper":{"title":"The Chow Characteristic Image of \\(\\Spin(10)\\) via the Affine Cone over the Spinor Variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sanghoon Baek","submitted_at":"2026-07-26T15:53:03Z","abstract_excerpt":"Let \\(G=\\Spin(10)\\) be the split spin group over a field of characteristic different from \\(2\\), and let \\(T\\subset G\\) be a split maximal torus. We determine the image of the integral Chow restriction map \\(\\CH(BG)\\to \\CH(BT)^W\\), equivalently \\(\\CH(BG)\\) modulo torsion. The main new geometric ingredient in the proof is a construction of the class \\(c_2c_3c_5\\), where the \\(c_i\\) are the elementary Chern classes after restriction to \\(T\\). This class is obtained from the proper equivariant push-forward associated with the affine cone over the spinor variety in its half-spin embedding for the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23729","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.23729/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}