Calabi-Yau threefolds of quotient type
| dc.creator | Oguiso, K. | |
| dc.creator | Sakurai, J. | |
| dc.date | 1999-09-29 | |
| dc.date.accessioned | 2026-07-07T05:30:57Z | |
| dc.date.available | 2026-07-07T05:30:57Z | |
| dc.description | First, we classify Calabi-Yau threefolds with infinite fundamental group by means of their minimal splitting coverings introduced by Beauville, and deduce that the nef cone is a rational simplicial cone and any rational nef divisor is semi-ample if the second Chern class is identically zero. We also derive a sufficient condition for the fundamental group to be finite in terms of the Picard number in an optimal form. Next, we give a concrete structure Theorem concerning $c_{2}$-contractions of Calabi-Yau threefolds as a generalisation and also a correction of our earlier works for simply connected ones. Finally, as an application, we show the finiteness of the isomorphism classes of $c_{2}$-contractions of each Calabi-Yau threefold. | |
| dc.description | 38 pages, AMSTeX | |
| dc.identifier | https://arxiv.org/abs/math/9909175 | |
| dc.identifier | http://arxiv.org/abs/math/9909175 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79168 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J32, 14J28, 14J50, 14E20 | |
| dc.title | Calabi-Yau threefolds of quotient type | |
| dc.type | text |