Bitangent surfaces and involutions of quartic surfaces

TL;DR

This paper investigates the properties of bitangent lines to irreducible surfaces in projective 3-space, focusing on quartic surfaces with rational double points and Kummer quartic surfaces.

Contribution

It provides a detailed study of the congruence of bitangent lines for these special classes of quartic surfaces, including their involutions.

Findings

Analyzed the structure of bitangent line congruences for quartic surfaces.

Explored involutions associated with these congruences.

Focused on surfaces with rational double points and Kummer quartics.

Abstract

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.