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We prove that for a special symplectic instanton bundle $ E$ on $ P_{2n+1}$ with $c_2=k$ $h^1End( E) = 4(3n-1) k + (2n-5)(2n-1)$. Therefore the dimension of the moduli space of instanton bundles grows linearly in $k$. The main difference with the well known case of $ P_3$ is that $h^2End( E)$ is nonzero, in fact we prove that it grows quadratical"},"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":"alg-geom/9402005","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"alg-geom","submitted_at":"1994-02-07T18:53:00Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"9e5ada3b9f263edbbe63367b53fac29fd038f337db0b92fac942bd21e4ccc425","abstract_canon_sha256":"40a77b20d8cc087ec7fa6f6fd02ffe33183fdc7a67db978fb746019aaf6073d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:21.801179Z","signature_b64":"Bl8YXgPk+Bw1PQCTZz6tZPmzgjMrNBzXCx0fMDE9lQa0iukhKDpA3OkhbojUHtQcCqX1rn+FJEiL8FEI/6qTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"788e68881db6d9367df20aea2a5859eb5a98bdcc85ae9ee038961007fc5c852a","last_reissued_at":"2026-05-18T01:09:21.800777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:21.800777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Tangent Space at a Special Symplectic Instanton Bundle on $P_{2n+1}$","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"Giorgio Ottaviani, G\\\"unther Trautmann","submitted_at":"1994-02-07T18:53:00Z","abstract_excerpt":"Mathematical instanton bundles on $ P_3$ have their analogues in rank--$2n$ instanton bundles on odd dimensional projective spaces $ P_{2n+1}$. 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