Details
| Original language | English |
|---|---|
| Article number | 10 |
| Number of pages | 29 |
| Journal | Selecta Mathematica, New Series |
| Volume | 31 |
| Issue number | 1 |
| Publication status | Published - 18 Dec 2024 |
Abstract
We study Calabi–Yau manifolds which are complete intersections of hypersurfaces of multidegree 1 in an m-fold product of n-dimensional projective spaces. Using the theory of Coxeter groups, we show that the birational automorphism group of such a Calabi–Yau manifold X is infinite and a free product of copies of Z. Moreover, we give an explicit description of the boundary of the movable cone Mov¯(X). In the end, we consider examples for the general and non-general case and picture the movable cone and the fundamental domain for the action of Bir(X).
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Physics and Astronomy(all)
- General Physics and Astronomy
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Selecta Mathematica, New Series, Vol. 31, No. 1, 10, 18.12.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Movable cones of complete intersections of multidegree one on products of projective spaces
AU - Hoff, Michael
AU - Stenger, Isabel
AU - Yáñez, José Ignacio
N1 - Publisher Copyright: © The Author(s) 2024.
PY - 2024/12/18
Y1 - 2024/12/18
N2 - We study Calabi–Yau manifolds which are complete intersections of hypersurfaces of multidegree 1 in an m-fold product of n-dimensional projective spaces. Using the theory of Coxeter groups, we show that the birational automorphism group of such a Calabi–Yau manifold X is infinite and a free product of copies of Z. Moreover, we give an explicit description of the boundary of the movable cone Mov¯(X). In the end, we consider examples for the general and non-general case and picture the movable cone and the fundamental domain for the action of Bir(X).
AB - We study Calabi–Yau manifolds which are complete intersections of hypersurfaces of multidegree 1 in an m-fold product of n-dimensional projective spaces. Using the theory of Coxeter groups, we show that the birational automorphism group of such a Calabi–Yau manifold X is infinite and a free product of copies of Z. Moreover, we give an explicit description of the boundary of the movable cone Mov¯(X). In the end, we consider examples for the general and non-general case and picture the movable cone and the fundamental domain for the action of Bir(X).
UR - http://www.scopus.com/inward/record.url?scp=85212692509&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2207.11150
DO - 10.48550/arXiv.2207.11150
M3 - Article
AN - SCOPUS:85212692509
VL - 31
JO - Selecta Mathematica, New Series
JF - Selecta Mathematica, New Series
SN - 1022-1824
IS - 1
M1 - 10
ER -