CANONICAL 3-FOLDS IN P2 × P2 FORMAT AND NUMERICAL K3 TRANSITIONS

Muhammad Imran Qureshi

doi:10.33048/semi.2025.22.102

CANONICAL 3-FOLDS IN P² × P² FORMAT AND NUMERICAL K3 TRANSITIONS

Muhammad Imran Qureshi^*

^*Corresponding author for this work

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

Abstract

We provide a conjectural extension of the web of canonical 3-folds by proving the existence of some new deformation families of canonical 3-folds embedded in weighted projective space P⁷(w₀, ..., w₇). These families can be presented by using the equations of Segre embedding of P² × P². We provide a table of candidate numerical K3 transitions that can relate these families to the existing web of canonical 3-folds.

Original language	English
Pages (from-to)	1673-1686
Number of pages	14
Journal	Siberian Electronic Mathematical Reports
Volume	22
Issue number	2
DOIs	https://doi.org/10.33048/semi.2025.22.102
State	Published - 2025

Bibliographical note

Publisher Copyright:
© 2025 Qureshi M.I.

Keywords

K3 transitions
P×P format
canonical 3-folds
weighted projective space

ASJC Scopus subject areas

General Mathematics

Access to Document

10.33048/semi.2025.22.102

Cite this

@article{98e2ca573c2640b5903a7b028dc670dd,

title = "CANONICAL 3-FOLDS IN P2 × P2 FORMAT AND NUMERICAL K3 TRANSITIONS",

abstract = "We provide a conjectural extension of the web of canonical 3-folds by proving the existence of some new deformation families of canonical 3-folds embedded in weighted projective space P7(w0, ..., w7). These families can be presented by using the equations of Segre embedding of P2 × P2. We provide a table of candidate numerical K3 transitions that can relate these families to the existing web of canonical 3-folds.",

keywords = "K3 transitions, P×P format, canonical 3-folds, weighted projective space",

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

note = "Publisher Copyright: {\textcopyright} 2025 Qureshi M.I.",

year = "2025",

doi = "10.33048/semi.2025.22.102",

language = "English",

volume = "22",

pages = "1673--1686",

journal = "Siberian Electronic Mathematical Reports",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

number = "2",

}

TY - JOUR

T1 - CANONICAL 3-FOLDS IN P2 × P2 FORMAT AND NUMERICAL K3 TRANSITIONS

AU - Qureshi, Muhammad Imran

PY - 2025

Y1 - 2025

N2 - We provide a conjectural extension of the web of canonical 3-folds by proving the existence of some new deformation families of canonical 3-folds embedded in weighted projective space P7(w0, ..., w7). These families can be presented by using the equations of Segre embedding of P2 × P2. We provide a table of candidate numerical K3 transitions that can relate these families to the existing web of canonical 3-folds.

AB - We provide a conjectural extension of the web of canonical 3-folds by proving the existence of some new deformation families of canonical 3-folds embedded in weighted projective space P7(w0, ..., w7). These families can be presented by using the equations of Segre embedding of P2 × P2. We provide a table of candidate numerical K3 transitions that can relate these families to the existing web of canonical 3-folds.

KW - K3 transitions

KW - P×P format

KW - canonical 3-folds

KW - weighted projective space

UR - https://www.scopus.com/pages/publications/105027578932

U2 - 10.33048/semi.2025.22.102

DO - 10.33048/semi.2025.22.102

M3 - Article

AN - SCOPUS:105027578932

SN - 1813-3304

VL - 22

SP - 1673

EP - 1686

JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

IS - 2

ER -