SMOOTH FANO 4-FOLDS in GORENSTEIN FORMATS

Muhammad Imran Qureshi

doi:10.1017/S0004972721000393

SMOOTH FANO 4-FOLDS in GORENSTEIN FORMATS

Muhammad Imran Qureshi

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We construct some new deformation families of four-dimensional Fano manifolds of index one in some known classes of Gorenstein formats. These families have explicit descriptions in terms of equations, defining their image under the anticanonical embedding in some weighted projective space. They also have relatively smaller anticanonical degree than most other known families of smooth Fano 4-folds.

Original language	English
Pages (from-to)	424-433
Number of pages	10
Journal	Bulletin of the Australian Mathematical Society
Volume	104
Issue number	3
DOIs	https://doi.org/10.1017/S0004972721000393
State	Published - 31 Dec 2021

Bibliographical note

Publisher Copyright:
©

Keywords

4-fold
Fano variety
Goresntein format

ASJC Scopus subject areas

General Mathematics

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10.1017/S0004972721000393

Cite this

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title = "SMOOTH FANO 4-FOLDS in GORENSTEIN FORMATS",

abstract = "We construct some new deformation families of four-dimensional Fano manifolds of index one in some known classes of Gorenstein formats. These families have explicit descriptions in terms of equations, defining their image under the anticanonical embedding in some weighted projective space. They also have relatively smaller anticanonical degree than most other known families of smooth Fano 4-folds.",

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author = "Qureshi, \{Muhammad Imran\}",

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year = "2021",

month = dec,

day = "31",

doi = "10.1017/S0004972721000393",

language = "English",

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N2 - We construct some new deformation families of four-dimensional Fano manifolds of index one in some known classes of Gorenstein formats. These families have explicit descriptions in terms of equations, defining their image under the anticanonical embedding in some weighted projective space. They also have relatively smaller anticanonical degree than most other known families of smooth Fano 4-folds.

AB - We construct some new deformation families of four-dimensional Fano manifolds of index one in some known classes of Gorenstein formats. These families have explicit descriptions in terms of equations, defining their image under the anticanonical embedding in some weighted projective space. They also have relatively smaller anticanonical degree than most other known families of smooth Fano 4-folds.

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KW - Fano variety

KW - Goresntein format

UR - https://www.scopus.com/pages/publications/85107048960

U2 - 10.1017/S0004972721000393

DO - 10.1017/S0004972721000393

M3 - Article

AN - SCOPUS:85107048960

SN - 0004-9727

VL - 104

SP - 424

EP - 433

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 3

ER -

SMOOTH FANO 4-FOLDS in GORENSTEIN FORMATS

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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