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

Livia Campo

doi:10.1002/mana.202100116

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

Livia Campo

Mathematics

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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.

Original language	English
Number of pages	21
Journal	Mathematische Nachrichten
Early online date	10 Jan 2023
DOIs	https://doi.org/10.1002/mana.202100116
Publication status	E-pub ahead of print - 10 Jan 2023

Keywords

Fano 3-fold
Picard rank
Sarkisov link
unprojection

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10.1002/mana.202100116Licence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

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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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AU - Campo, Livia

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AB - 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.

KW - Fano 3-fold

KW - Picard rank

KW - Sarkisov link

KW - unprojection

UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1522-2616/

UR - https://arxiv.org/abs/2011.12209

U2 - 10.1002/mana.202100116

DO - 10.1002/mana.202100116

M3 - Article

SN - 0025-584X

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

ER -

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

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Keywords

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