On finite covers of projective spaces, generic outside of codimension three

In the article, we generalize to an arbitrary dimension results obtained by the author and S.Yu. Nemirovski that related to Chisini's conjecture claimed that if $B$ is the discriminant of two generic covers $f_i:X_i\to \mathbb P^2$, $i=1,2$, and $\max (°f_1,°f_2) \geq 5$, then $f_1$ and $f_2$ are equivalent covers.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-27
DOI
https://doi.org/10.48550/arxiv.2610.36908
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
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preprint

On finite covers of projective spaces, generic outside of codimension three

Vik S Kulikov
arXiv (Cornell University)
Algebraic Geometry and Number Theory
preprint

On finite covers of projective spaces, generic outside of codimension three

Vik S Kulikov
preprint en

Abstract

In the article, we generalize to an arbitrary dimension results obtained by the author and S.Yu. Nemirovski that related to Chisini's conjecture claimed that if $B$ is the discriminant of two generic covers $f_i:X_i\to \mathbb P^2$, $i=1,2$, and $\max (°f_1,°f_2) \geq 5$, then $f_1$ and $f_2$ are equivalent covers.

arXiv (Cornell University)
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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On finite covers of projective spaces, generic outside of codimension three — Vik S Kulikov · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS