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Wall divisors on irreducible symplectic orbifolds of Nikulin-type

Algebraic Geometry 2022-09-09 v1

Abstract

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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Cite

@article{arxiv.2209.03667,
  title  = {Wall divisors on irreducible symplectic orbifolds of Nikulin-type},
  author = {Grégoire Menet and Ulrike Riess},
  journal= {arXiv preprint arXiv:2209.03667},
  year   = {2022}
}

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38 pages