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Classification of double octic Calabi-Yau threefolds with h1,2≤1 defined by an arrangement of eight planes
Authors:
- Sławomir Cynk,
- Beata Kocel-Cynk
Abstract
In this paper, we propose a combinatorial approach to study Calabi–Yau threefolds constructed as a resolution of singularities of a double covering of P3 branched along an arrangement of eight planes. We use this description to give a complete classification of arrangements of eight planes in P3 defining Calabi–Yau threefolds modulo projective transformation with h1,2≤1 and to derive their geometric properties (Kummer surface fibrations, automorphisms, special elements in families).
- Record ID
- CUTe31ded6435b748eaa36b98a9a40d89ef
- Publication categories
- ;
- Author
- Journal series
- Communications in Contemporary Mathematics, ISSN 0219-1997, e-ISSN 1793-6683
- Issue year
- 2020
- Vol
- 22
- No
- 1
- Pages
- [1-38]
- Article number
- 1850082
- Other elements of collation
- tab.; Bibliografia (na s.) - 37-38; Bibliografia (liczba pozycji) - 22; Oznaczenie streszczenia - Streszcz. ang.; Data udostępnienia on-line - 2018-12-07; Numeracja w czasopiśmie - Vol. 22, No. 1
- Keywords in English
- Calabi-Yau threefold, double octic
- DOI
- DOI:10.1142/S0219199718500827 Opening in a new tab
- URL
- https://www.worldscientific.com/doi/10.1142/S0219199718500827 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 140
- Publication indicators
- = 6
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTe31ded6435b748eaa36b98a9a40d89ef/
- URN
urn:pkr-prod:CUTe31ded6435b748eaa36b98a9a40d89ef
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.