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Topology of the punctual Hilbert Schemes of monomial plane curve singularities

Year: 2025

Type: article

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.

Source: Proceedings of the International Geometry Center

DOI: 10.15673/pigc.v18i2.2885

Author: Masahiro Watari

Institution: University of Kuala Lumpur

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7083432754

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Cites: 8

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