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Euler Characteristics of Log Calabi--Yau Threefolds
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For any even integer $n$, we show that there exists a log Calabi--Yau threefold $(Y, D)$ such that the Euler characteristic of $Y$ is $n$. Furthermore $Y$ is smooth and $D$ is smooth anticanonical section of $Y$ that is a $K3$ surface.
Abstract
For any even integer $n$, we show that there exists a log Calabi--Yau threefold $(Y, D)$ such that the Euler characteristic of $Y$ is $n$. Furthermore $Y$ is smooth and $D$ is smooth anticanonical section of $Y$ that is a $K3$ surface.
참고문헌 (7)
- P. W. Barth, "Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics" (2004), Springer-Verlag
- G. Bini, "An Unbounded Family of log Calabi–Yau Pairs", arXiv:1608.08804, ~
- G. Di. Cerbo, "Log birational boundedness of Calabi–Yau pairs", arXiv:1608.02997, ~
- M. Gross, "A finiteness theorem for elliptic Calabi–Yau threefolds", Duke Math. J., 74(2), pp.271299~ (1994)
- C. Hacon, "Boundedness of log Calabi–Yau pairs of Fano type", Math. Res. Lett, 22(6), pp.1699~1716 (2015)
- B. Hunt, "A bound on the Euler number for certain Calabi–Yau 3 -folds", J. Reine Angew. Math, 411, pp.137170~ (1990)
- J. Kollar, "The dual complex of log Calabi–Yau pairs", arXiv:1503.08320 to appear in Invent. Math, ~ (2016)
관련 논문AI추천
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