对数Hodge de Rham谱序列的退化、特征$p>0$的对数Kodaira消灭定理和对数弱Lefschetz猜想
Degenerations of log Hodge de Rham spectral sequences, log Kodaira vanishing theorem in characteristic $p>0$ and log weak Lefschetz conjecture for log crystalline cohomologies
摘要：
本文证明了特征$p>0$中某些Cartier型真对数光滑概形的对数Hodge de Rham谱序列在$E_1$处退化.我们还证明了日志小平消失，他们持有时，他们是投射。我们制定了日志弱Lefschetz猜想的日志结晶上同调，并证明它是真实的，在某些情况下。
英文摘要：
In this article we prove that the log Hodge de Rham spectral sequences of certain proper log smooth schemes of Cartier type in characteristic $p>0$ degenerate at $E_1$. We also prove that the log Kodaira vanishings for them hold when they are projective. We formulate the log weak Lefschetz conjecture for log crystalline cohomologies and prove that it is true in certain cases.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
