2023Mathematische NachrichtenOpen access

Sarkisov links for index 1 Fano 3‐folds in codimension 4

Livia Campo

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Abstract

Abstract We classify Sarkisov links from index 1 Fano 3‐folds anticanonically embedded in codimension 4 that start from so‐called Type I Tom centres. We apply this to compute the Picard rank of many such Fano 3‐folds.

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Abstract We classify Sarkisov links from index 1 Fano 3‐folds anticanonically embedded in codimension 4 that start from so‐called Type I Tom centres. We apply this to compute the Picard rank of many such Fano 3‐folds.

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Available abstract

Abstract We classify Sarkisov links from index 1 Fano 3‐folds anticanonically embedded in codimension 4 that start from so‐called Type I Tom centres. We apply this to compute the Picard rank of many such Fano 3‐folds.

Key concepts: Fano plane, Codimension, Mathematics, Rank (graph theory), Index (typography), Combinatorics, Pure mathematics, Geometry

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