Work

Computing a Saito basis from a standard basis

Year: 2024

Type: preprint

Abstract: In this paper we describe how to compute a Saito basis of a cusp, a plane curve with only one Puiseux pair. Moreover, the 1-forms of the Saito basis that we compute are characterized in terms of their divisorial orders associated to the "cuspidal" divisor of the minimal reduction of singularities of the cusp. We also introduce a new family of analytic invariants for plane curves computed in terms of Saito bases.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2404.00316

Authors: Cano, Felipe, Corral, Nuria, Senovilla-Sanz, David

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia e Innovación, Universidad de Cantabria, Agencia Estatal de Investigación

Awards: G1212057538, G8920660035

OpenAlex ID: W4393767303

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