论文标题
一般类型表面的pluri-cotangent图
Pluri-cotangent maps of surfaces of general type
论文作者
论文摘要
令$ x $是一种紧凑的,复杂的一般类型的复杂表面,其cotangent bundle $ω_x$是强烈的半ample。我们研究了$ x $的pluri-cotangent地图,即形态$ψ_n\ colon \ colon \ mathbb {p}(ω_x)(ω_x)\ to \ mathbb {p}(h^0(x,x,x,x,x,x,\,s^nω__x)$由全球派别$ h^0(s^0(s^s)所定义的vector。
Let $X$ be a compact, complex surface of general type whose cotangent bundle $Ω_X$ is strongly semi-ample. We study the pluri-cotangent maps of $X$, namely the morphisms $ψ_n \colon \mathbb{P}(Ω_X) \to \mathbb{P}(H^0(X, \, S^n Ω_X))$ defined by the vector space of global sections $H^0(X, \, S^n Ω_X)$.