{"paper":{"title":"On Mori cone of Bott towers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"B. Narasimha Chary","submitted_at":"2017-06-07T11:50:44Z","abstract_excerpt":"A Bott tower of height $r$ is a sequence of projective bundles $$X_r \\overset{{\\pi_r}}\\longrightarrow X_{r-1} \\overset{\\pi_{r-1}}\\longrightarrow \\cdots \\overset{\\pi_2}\\longrightarrow X_1=\\mathbb P^1 \\overset{\\pi_1} \\longrightarrow X_0=\\{pt\\}, $$ where $X_i=\\mathbb P (\\mathcal O_{X_{i-1}}\\oplus \\mathcal L_{i-1})$ for a line bundle $\\mathcal L_{i-1}$ over $X_{i-1}$ for all $1\\leq i\\leq r$ and $\\mathbb P(-)$ denotes the projectivization. These are smooth projective toric varieties and we refer to the top object $X_{r}$ also as a Bott tower. In this article, we study the Mori cone and numerically "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02139","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}