Hilbert scheme of points on cyclic quotient singularities of type (p,1)

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Gyenge, Ádám;
(2016)
  • Subject: Mathematics - Combinatorics | Mathematics - Algebraic Geometry

In this note we investigate the generating series of the Euler characteristics of Hilbert scheme of points on cyclic quotient singularities of type (p,1). We link the appearing combinatorics to p-fountains, a generalization of the notion of fountain of coins. We obtain ... View more
  • References (5)

    1. G. E. Andrews, The theory of partitions, Encyclopedia of Mathematics and its Applications, vol. 2, Cambridge University Press, 1998.

    2. L. Go¨ttsche, The Betti numbers of the Hilbert scheme of points on a smooth projective surface, Mathematische Annalen 286 (1990), no. 1, 193-207.

    3. A´ . Gyenge, A. N´emethi, and B. Szendro˝i, Euler characteristics of Hilbert schemes of points on simple surface singularities, http://arxiv.org/abs/1512.06848, 2015.

    4. H. Nakajima, Lectures on Hilbert schemes of points on surfaces, University Lecture Series, vol. 18, AMS, 1999.

    5. A. M. Odlyzko and H. S. Wilf, The editor's corner: n coins in a fountain, The American Mathematical Monthly 95 (1988), no. 9, 840-843.

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