Non-planar degenerations and related fundamental groups

Meirav Amram

doi:10.1007/s40879-024-00794-6

Non-planar degenerations and related fundamental groups

Meirav Amram

SCE

Research output: Contribution to journal › Review article › peer-review

Abstract

We present a preliminary investigation of algebraic surfaces that have non-planar degenerations, along with their Galois covers and fundamental groups. Specifically, we investigate the tetrahedron and the double tetrahedron. The resulting fundamental groups indicate that the tetrahedron and the double tetrahedron are in different components of the moduli space of algebraic surfaces.

Original language	English
Article number	1
Journal	European Journal of Mathematics
Volume	11
Issue number	1
DOIs	https://doi.org/10.1007/s40879-024-00794-6
State	Published - Mar 2025
Externally published	Yes

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.

Keywords

Classification of surfaces
Fundamental group
Galois cover
Non-planar degeneration

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10.1007/s40879-024-00794-6

Cite this

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abstract = "We present a preliminary investigation of algebraic surfaces that have non-planar degenerations, along with their Galois covers and fundamental groups. Specifically, we investigate the tetrahedron and the double tetrahedron. The resulting fundamental groups indicate that the tetrahedron and the double tetrahedron are in different components of the moduli space of algebraic surfaces.",

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KW - Classification of surfaces

KW - Fundamental group

KW - Galois cover

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Non-planar degenerations and related fundamental groups

Abstract

Bibliographical note

Keywords

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