论文标题
消失的Chern课程用于数值平坦的希格斯捆绑包
Vanishing Chern classes for numerically flat Higgs bundles
论文作者
论文摘要
我认为Higgs捆绑会令人满意，这引入了Bruzzo，GrañaOtero和HernándezRuipérez，并证明了Chern等级$ r $ r $ h-amplem higgs Higgs blandles跨维度$ n $，极性，光滑，复杂，复杂，复杂，复杂，复杂，复杂，复杂，复杂的品种的阳性阳性。我将其扩展到所有具有数值有效的希格斯束的Chern类别的非统一性；并使用此条件证明了Chern类数字平面捆绑包的消失。
I consider Higgs bundles satisfying a notion of ampleness that was introduce Bruzzo, Graña Otero and Hernández Ruipérez, and prove that the Chern classes of rank $r$ H-ample Higgs bundles over dimension $n$, polarized, smooth, complex, projective varieties are positive under opportune hypothesis. I extend this to non-negativeness of Chern classes of all numerically effective Higgs bundles; and use this condition to prove the vanishing of Chern classes of numerically flat Higgs bundles.
