The Computation of the Logarithmic Cohomology for Plane Curves
Francisco Jesus Castro-Jimenez, Nobuki Takayama
TL;DR
This paper presents algorithms for computing bases of logarithmic cohomology groups associated with square-free polynomials in two variables, advancing computational methods in algebraic geometry.
Contribution
It introduces new algorithms specifically designed for calculating logarithmic cohomology bases for plane curves defined by square-free polynomials.
Findings
Algorithms successfully compute bases for logarithmic cohomology groups.
Improves computational efficiency in algebraic geometry tasks.
Provides a foundation for further research in cohomology computations.
Abstract
We give algorithms of computing bases of logarithmic cohomology groups for square-free polynomials in two variables. (Fixed typos of v1)
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Commutative Algebra and Its Applications