Bitangent surfaces and involutions of quartic surfaces

Igor Dolgachev; Shigeyuki Kondō

doi:10.46298/epiga.2025.13907

Igor Dolgachev ; Shigeyuki Kondō - Bitangent surfaces and involutions of quartic surfaces

epiga:13907 - Épijournal de Géométrie Algébrique, November 24, 2025, Volume 9 - https://doi.org/10.46298/epiga.2025.13907

Bitangent surfaces and involutions of quartic surfacesArticle

Authors: Igor Dolgachev ; Shigeyuki Kondō

We study the congruence of bitangent lines of an irreducible surface in the 3-dimensional projective space in arbitrary characteristic, with special attention to quartic surfaces with rational double points and, in particular, Kummer quartic surfaces.

final version

https://doi.org/10.46298/epiga.2025.13907

Source: arXiv.org:2406.16246

Volume: Volume 9

Published on: November 24, 2025

Accepted on: May 17, 2025

Submitted on: July 9, 2024

Keywords: Algebraic Geometry

Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)