论文标题
calabi的半故障 - Yau表面正面和混合特征
Semiampleness for Calabi--Yau surfaces in positive and mixed characteristic
论文作者
论文摘要
在本说明中,我们证明了Klt calabi-Yau表面对在优质的基础环上的半出口度猜想。作为应用,我们推断出了广义丰度和Serrano对表面的猜想。最后,我们研究了混合特征DVR上Calabi-Yau三倍的Calabi-Yau三倍的猜想。
In this note we prove the semiampleness conjecture for klt Calabi--Yau surface pairs over an excellent base ring. As applications we deduce that generalised abundance and Serrano's conjecture hold for surfaces. Finally, we study the semiampleness conjecture for Calabi--Yau threefolds over a mixed characteristic DVR.