Mixed multiplier ideals and the irregularity of abelian coverings of the projective plane
Daniel Naie (LAREMA)
TL;DR
This paper derives a formula to compute the irregularity of abelian coverings of the projective plane and discusses its applications in algebraic geometry.
Contribution
It introduces a new formula for irregularity of abelian coverings of the projective plane, expanding understanding of their geometric properties.
Findings
Established a formula for irregularity of abelian coverings
Applied the formula to specific cases in algebraic geometry
Enhanced methods for studying abelian coverings
Abstract
A formula for the irregularity of abelian coverings of the projective plane is established and some applications are presented.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Coding theory and cryptography