论文标题
普通kummer品种的纤维表面过滤的不良过滤
Perverse filtration for generalized Kummer varieties of fibered surfaces
论文作者
论文摘要
让$ a \ to c $成为适当的滤波形态,从平滑连接的准标记的尺寸为2的尺寸为平滑曲线。广义kummer品种的构造给出了适当的形态$ a^{[[n]} \ to c^{((n))} $。我们表明,与这种形态相关的不正当过滤是乘法的。
Let $A\to C$ be a proper surjective morphism from a smooth connected quasi-projective commutative group scheme of dimension 2 to a smooth curve. The construction of generalized Kummer varieties gives a proper morphism $A^{[[n]]}\to C^{((n))}$. We show that the perverse filtration associated with this morphism is multiplicative.