Skip to content
DraconiticResearch
Search Sources API
201,642 studies31 sourcesUpdated 16 min ago
PreprintarXiv licencearXiv

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

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 fi:Xi→ ℙ2, i=1,2, and max (°f1,°f2) ≥ 5, then f1 and f2 are equivalent covers.

Related

  1. Generic vanishing subschemes of codimension three
    Yuesen Chen
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  2. Enumerative geometry of conics and double covers on projective complete intersections
    Dang Tuan Hiep, Ha Thi Thao Tram
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  3. An arithmetic integrability result for codimension-one foliations on complex projective spaces
    Víctor León, Bruno Scárdua
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. Projective dimension of closed neighborhood hypergraphs via extended double covers
    Yusuf Civan, Anurag Singh
    arXivPreprintCC BY 4.0Full textCombinatorics & discrete mathematicsarXiv
  5. A Global Generic Locus for Elementary Abelian p-covers of P^1 with two Ramification Points
    Robert Moore, Hui June Zhu
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
BibTeX
@misc{kulikov2026finite,
  title = {{On finite covers of projective spaces, generic outside of codimension three}},
  author = {Vik. S. Kulikov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36908},
  eprint = {2610.36908},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36908},
}
RIS
TY  - UNPB
TI  - On finite covers of projective spaces, generic outside of codimension three
AU  - Vik. S. Kulikov
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.36908
UR  - https://arxiv.org/abs/2610.36908
AB  - 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→ ℙ^2, i=1,2, and max (°f_1,°f_2) ≥ 5, then f_1 and f_2 are equivalent covers.
ER  -