Topology of the punctual Hilbert Schemes of monomial plane curve singularities

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.

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Publication Details

Journal
Proceedings of the International Geometry Center
Published
2025-08-20
DOI
https://doi.org/10.15673/pigc.v18i2.2885
Primary Topic
Autopsy Techniques and Outcomes
Type
article
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article

Topology of the punctual Hilbert Schemes of monomial plane curve singularities

Proceedings of the International Geometry Center
Autopsy Techniques and Outcomes
article

Topology of the punctual Hilbert Schemes of monomial plane curve singularities

article en

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.

Proceedings of the International Geometry CenterVol. 18(2)
University of Kuala Lumpur (MY)
Reduced inequalities
Openalex Percentile: Top 37%
Autopsy Techniques and Outcomes
DOIOpen Access PDFOpenAlex
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Topology of the punctual Hilbert Schemes of monomial plane curve singularities · Proceedings of the International Geometry Center (2025) | TGRS Research Map | TGRS