论文标题
圆柱体中的圆柱体
Cylinders in canonical del Pezzo fibrations
论文作者
论文摘要
投影品种中的圆柱体在与某些仿射代数品种的一单位作用方面起着重要作用。杜布洛兹（Dubouloz）和基希莫托（Kishimoto）引起的先前工作涉及Del Pezzo纤维化的条件，以包含垂直圆柱体。在目前的工作中，作为奇异性意义的概括，我们将确定带有规范奇点的Del Pezzo纤维化的条件，通过在相应的通用纤维上发现的程度和奇异性的垂直圆柱体接受垂直圆柱体。
Cylinders in projective varieties play an important role in connection with unipotent group actions on certain affine algebraic varieties. The previous work due to Dubouloz and Kishimoto deals with the condition for a del Pezzo fibration to contain a vertical cylinder. In the present work, as a generalization in the sense of singularities, we shall determine the condition under which a del Pezzo fibration with canonical singularities admits a vertical cylinder by means of degree and type of singularities found on the corresponding generic fiber.
