Polarized rational surfaces ( X , L) of sectional genus two ruled in conics are studied. When they are not minimal, they are described as the blow-up of 𝔽 1 at some points lying on distinct fibers. Ampleness and very ampleness of L are studied in terms of their location. When L is very ample and there is a line contained in X and transverse to the fibers, the conic fibrations ( X , L) are classified and a related property concerned with the inflectional locus is discussed.

中文翻译：

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截面属二的有理圆锥形纤维

研究了圆锥形中两个截面属的极化有理曲面（X，L）。当它们不是最小值时，它们被描述为位于不同纤维上的某些点处的𝔽1爆炸。L的充足度和非常充足度根据其位置进行了研究。当L非常充足并且X中包含一条线并且横切纤维时，对圆锥形纤维（X，L）进行分类，并讨论与拐点有关的相关特性。