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
Pages (from-to)	957-979
Number of pages	21
Journal	Mathematische Nachrichten
Volume	296
Issue number	3
Early online date	10 Jan 2023
DOIs	https://doi.org/10.1002/mana.202100116
Publication status	Published - 17 Mar 2023

Keywords

Fano 3-fold
Picard rank
Sarkisov link
unprojection

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10.1002/mana.202100116Licence: Creative Commons: Attribution (CC BY)

CampoL2023SarkisovFinal published version, 396 KBLicence: Creative Commons: Attribution (CC BY)

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title = "Sarkisov links for index 1 Fano 3-folds in codimension 4",

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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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

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VL - 296

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JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 3

ER -

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

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Keywords

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