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

Bernasconi, Fabio, Stigant, Liam

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.

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