2012
DOI: 10.3836/tjm/1358951330
|View full text |Cite
|
Sign up to set email alerts
|

Isomorphism among Families of Weighted $K3$ Hypersurfaces

Abstract: Some of the 95 families of weighted K3 hypersurfaces have been known to have the isometric lattice polarizations. It is shown that weighted K3 hypersurfaces in such families are to one-to-one correspond by explicitly constructing the monomial birational morphisms among the weighted projective spaces. All the weight systems having the isometric Picard lattices commonly possess an anticanonical sublinear system, being confirmed that the Picard lattice of the sublinear system we obtained is the same as those of t… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
23
0

Year Published

2014
2014
2022
2022

Publication Types

Select...
5

Relationship

2
3

Authors

Journals

citations
Cited by 7 publications
(23 citation statements)
references
References 6 publications
0
23
0
Order By: Relevance
“…In [8], it is proved that the polytopes ∆ (n) for n = 14, 28, 45, and 51 are isomorphic to the polytope ∆ (14) that is the convex hull of vertices (−1, −1, 1), (−1, −1, −1), (6, −1, −1), and (−1, 2, −1) under the above choice of basis. Since the polar dual ∆ (14) * is the convex hull of vertices (1, 0, 0), (0, 1, 0), (0, 0, 1), and (−6, −14, −21), the linear map of R 3 defined by a matrix…”
Section: No 1-no 10mentioning
confidence: 99%
See 4 more Smart Citations
“…In [8], it is proved that the polytopes ∆ (n) for n = 14, 28, 45, and 51 are isomorphic to the polytope ∆ (14) that is the convex hull of vertices (−1, −1, 1), (−1, −1, −1), (6, −1, −1), and (−1, 2, −1) under the above choice of basis. Since the polar dual ∆ (14) * is the convex hull of vertices (1, 0, 0), (0, 1, 0), (0, 0, 1), and (−6, −14, −21), the linear map of R 3 defined by a matrix…”
Section: No 1-no 10mentioning
confidence: 99%
“…In [8], it is proved that the polytopes ∆ (38) and ∆ (77) , and ∆ (50) , and ∆ (82) are respectively isomorphic to the polytopes…”
Section: No 11-no 14mentioning
confidence: 99%
See 3 more Smart Citations