论文标题

nikulin型的不可还原符号孔的墙壁除数

Wall divisors on irreducible symplectic orbifolds of Nikulin-type

论文作者

Menet, Grégoire, Riess, Ulrike

论文摘要

我们确定了不可还原符号孔的墙壁除数,后者的变形等效于一种特殊类型的示例,称为Nikulin Orbifolds。 Nikulin Orbifolds是通过K3表面上2分的Hilbert方案的符合性涉及的,在商的Codimension 2中获得的部分分辨率。这是基于上一篇文章Arxiv:2009.04873,其中墙壁除数理论被推广到Orbifold奇点。

We determine the wall divisors on irreducible symplectic orbifolds which are deformation equivalent to a special type of examples, called Nikulin orbifolds. The Nikulin orbifolds are obtained as partial resolutions in codimension 2 of a quotient by a symplectic involution of a Hilbert scheme of 2 points on a K3 surface. This builds on the previous article arXiv:2009.04873 in which the theory of wall divisors was generalized to orbifold singularities.

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