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Additionally, we construct the universal coverings of the surfaces in our family as complete intersections on (\\PP^1)^4 and we also give an action of Z/2xQ_8 on (\\PP^1)^4 lifting the natural action on the surfaces.\n  The strategy is the following. We consider an \\'etale (Z/2)^3-cover T of a surface with p_g=0 and K^2=3 and assume that it may be embedded in a Fano 3-fold V. We const"},"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":"1101.3160","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-17T09:37:34Z","cross_cats_sorted":[],"title_canon_sha256":"aca7901776764e48e4ed7a7347f3362bbccf424495cb76044d7bf01b347842e0","abstract_canon_sha256":"a4a1b0c29a9da50f0f751e9ab1c2ad147c56f80b0cd45e36a0fb6dba64430a38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:52.115931Z","signature_b64":"9FqLZG4E7+cV3AXcOdKaMzINGQBI2iMCUvWstlYy6l+kM0tgZ8UyVZad/Dy5WxE4bFiG5sQOtrsaR9z6MDi3CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0930fc7d5e6b38312939a2dd1c61fc3dea5ae63a223bb4a2c6c58e1b9ba46080","last_reissued_at":"2026-05-18T02:22:52.115158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:52.115158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unprojection and deformations of tertiary Burniat surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jorge Neves, Roberto Pignatelli","submitted_at":"2011-01-17T09:37:34Z","abstract_excerpt":"We construct a 4-dimensional family of surfaces of general type with p_g=0 and K^2=3 and fundamental group Z/2xQ_8, where Q_8 is the quaternion group. The family constructed contains the Burniat surfaces with K^2=3. Additionally, we construct the universal coverings of the surfaces in our family as complete intersections on (\\PP^1)^4 and we also give an action of Z/2xQ_8 on (\\PP^1)^4 lifting the natural action on the surfaces.\n  The strategy is the following. We consider an \\'etale (Z/2)^3-cover T of a surface with p_g=0 and K^2=3 and assume that it may be embedded in a Fano 3-fold V. 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