论文标题
Bogomolov的不平等和希格斯在正常品种的阳性特征上
Bogomolov's inequality and Higgs sheaves on normal varieties in positive characteristic
论文作者
论文摘要
我们证明了Bogomolov对正常投影量的不平等现象,并且使用它来显示一些新的限制定理和新的界限结果。然后,我们重新定义了Higgs的正常品种,并证明了限制定理和Bogomolov型不平等,用于在任意特征中的某些正常品种上的可分别对数Higgs束带。
We prove Bogomolov's inequality on a normal projective variety in positive characteristic and we use it to show some new restriction theorems and a new boundedness result. Then we redefine Higgs sheaves on normal varieties and we prove restriction theorems and Bogomolov type inequalities for semistable logarithmic Higgs sheaves on some normal varieties in an arbitrary characteristic.