论文标题
分节属的有理圆锥纤维2
Rational conic fibrations of sectional genus two
论文作者
论文摘要
研究了圆锥形统治的分节属的两极分化有理表面$(x,\ mathcal l)$。当它们不是最小的时候,它们被描述为在不同的纤维上的某些点上的$ \ mathbb f_1 $的爆炸。根据其位置,研究了$ \ Mathcal l $的增强性和非常浓度。当$ \ Mathcal l $很足够,并且在$ x $中包含一条线并横向到纤维时,分类了圆锥纤维$(x,x,\ mathcal l)$,并且讨论了与拐点有关的相关属性。
Polarized rational surfaces $(X, \mathcal L)$ of sectional genus two ruled in conics are studied. When they are not minimal, they are described as the blow-up of $\mathbb F_1$ at some points lying on distinct fibers. Ampleness and very ampleness of $\mathcal L$ are studied in terms of their location. When $\mathcal L$ is very ample and there is a line contained in $X$ and transverse to the fibers, the conic fibrations $(X, \mathcal L)$ are classified and a related property concerned with the inflectional locus is discussed.