A Deterministic Method for Computing Bertini Type Invariants of Parametric Ideals

Shinichi Tajima; Katsusuke Nabeshima

doi:10.1007/s11786-024-00588-9

A Deterministic Method for Computing Bertini Type Invariants of Parametric Ideals

Shinichi Tajima
, Katsusuke Nabeshima

応用数学科

研究成果: Article › 査読

抄録

A new framework is proposed for computing general numerical invariants, called Bertini type invariants, associated to a family of polynomial ideals depending on deformation parameters. A deterministic algorithm is introduced for computing parameter dependency of Bertini type invariants. As an application, an algorithm for computing Chern–Schwartz–MacPherson classes of a family of singular projective hypersurfaces is obtained.

本文言語	English
論文番号	14
ジャーナル	Mathematics in Computer Science
巻	18
号	3
DOI	https://doi.org/10.1007/s11786-024-00588-9
出版ステータス	Published - 10月 2024

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10.1007/s11786-024-00588-9

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abstract = "A new framework is proposed for computing general numerical invariants, called Bertini type invariants, associated to a family of polynomial ideals depending on deformation parameters. A deterministic algorithm is introduced for computing parameter dependency of Bertini type invariants. As an application, an algorithm for computing Chern–Schwartz–MacPherson classes of a family of singular projective hypersurfaces is obtained.",

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A Deterministic Method for Computing Bertini Type Invariants of Parametric Ideals

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