Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Topology of the punctual Hilbert Schemes of monomial plane curve singularities

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Masahiro Watari

Abstract

In the present paper, we study the topology of the punctual Hilbert Schemes of monomial plane curve singularities.


Piontkowski described the Euler numbers and the Betti numbers of the Jacobian factors of the same singularities.


Applying his method, we generalize his results to the case of punctual Hilbert schemes.

Keywords:
plane curve singularity, punctual Hilbert scheme, Euler number, Betti number

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How to Cite
Watari, M. (2025). Topology of the punctual Hilbert Schemes of monomial plane curve singularities. Proceedings of the International Geometry Center, 18(2), 183-196. https://doi.org/10.15673/pigc.v18i2.2885
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Papers

References

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