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Namely, let $M(0)$ be a t-motive of dimension $n$ and rank $r=2n$ \\ --- \\ the $n$-th power of the Carlitz module of rank 2, and let $M$ be a t-motive which is in some sense \"close\" to $M(0)$. We consider the lattice map $M \\mapsto L(M)$, where $L(M)$ is a lattice in $C^n$. We show that the lattice map is an isom"},"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":"1109.0679","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-04T07:05:09Z","cross_cats_sorted":[],"title_canon_sha256":"62f209fe3c287747df46431eb68b4c6b398e89897b91c20171aab0fbd5ccb114","abstract_canon_sha256":"8059b2240db9acba46d946db56b00cf6d0f1c41b8aaa2a5af8077e4dcc2552d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:35.477810Z","signature_b64":"k1zzCQq8JTv4Fx7p+JaqpDdrLtRrAXdkYNPmYAZ47lSE+Wb6gybKRosXvxPArBRkwQy0gm4fm5AFE8YPWRErAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d80a72d9f6ac842b542aac3c1219a7cec51c7c7966a4b01ee0567b10dc26032d","last_reissued_at":"2026-05-18T00:49:35.477274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:35.477274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lattice map for Anderson T-motives: first approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Aleksandr Grishkov, Dmitry Logachev","submitted_at":"2011-09-04T07:05:09Z","abstract_excerpt":"There exists a lattice map from the set of pure uniformizable Anderson t-motives to the set of lattices. It is not known what is the image and the fibers of this map. We prove a local result that sheds the first light to this problem and suggests that maybe this map is close to 1 -- 1. Namely, let $M(0)$ be a t-motive of dimension $n$ and rank $r=2n$ \\ --- \\ the $n$-th power of the Carlitz module of rank 2, and let $M$ be a t-motive which is in some sense \"close\" to $M(0)$. We consider the lattice map $M \\mapsto L(M)$, where $L(M)$ is a lattice in $C^n$. 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