Details
| Original language | English |
|---|---|
| Pages (from-to) | 7959-7983 |
| Number of pages | 25 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 370 |
| Issue number | 11 |
| Early online date | 30 May 2018 |
| Publication status | Published - 2018 |
| Externally published | Yes |
Abstract
We study the class of compact Kähler manifolds with trivial canonical bundle and the property that the cohomology of the trivial line bundle is generated by one element. If the square of the generator is zero, we get the class of strict Calabi–Yau manifolds. If the generator is of degree 2, we get the class of compact hyperkähler manifolds. We provide some examples and structure results for the cases where the generator is of higher nilpotency index and degree. In particular, we show that varieties of this type are closely related to higher-dimensional Enriques varieties.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Transactions of the American Mathematical Society, Vol. 370, No. 11, 2018, p. 7959-7983.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Varieties with ℙ-units
AU - Krug, Andreas
PY - 2018
Y1 - 2018
N2 - We study the class of compact Kähler manifolds with trivial canonical bundle and the property that the cohomology of the trivial line bundle is generated by one element. If the square of the generator is zero, we get the class of strict Calabi–Yau manifolds. If the generator is of degree 2, we get the class of compact hyperkähler manifolds. We provide some examples and structure results for the cases where the generator is of higher nilpotency index and degree. In particular, we show that varieties of this type are closely related to higher-dimensional Enriques varieties.
AB - We study the class of compact Kähler manifolds with trivial canonical bundle and the property that the cohomology of the trivial line bundle is generated by one element. If the square of the generator is zero, we get the class of strict Calabi–Yau manifolds. If the generator is of degree 2, we get the class of compact hyperkähler manifolds. We provide some examples and structure results for the cases where the generator is of higher nilpotency index and degree. In particular, we show that varieties of this type are closely related to higher-dimensional Enriques varieties.
UR - http://www.scopus.com/inward/record.url?scp=85055091019&partnerID=8YFLogxK
U2 - 10.1090/tran/7218
DO - 10.1090/tran/7218
M3 - Article
AN - SCOPUS:85055091019
VL - 370
SP - 7959
EP - 7983
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 11
ER -