800 conics in a smooth quartic surface

TL;DR

This paper constructs a specific smooth quartic surface in three-dimensional space that contains a remarkably high number of 800 irreducible conics, showcasing a new example in algebraic geometry.

Contribution

The paper provides the first explicit example of a smooth quartic surface with 800 irreducible conics, surpassing previously known configurations.

Findings

Constructed a smooth quartic surface with 800 irreducible conics

Demonstrated the existence of surfaces with unusually high conic counts

Contributed to understanding the geometry of quartic surfaces

Abstract

We construct an example of a smooth spatial quartic surface that contains 800 irreducible conics.