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800 conics in a smooth quartic surface

Alex Degtyarev

Abstract

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

800 conics in a smooth quartic surface

Abstract

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

Paper Structure

This paper contains 6 sections, 5 equations, 1 table.

Table of Contents

  1. Introduction
  2. The Leech lattice (see Conway.Sloane)
  3. The Golay code
  4. The square $4$ vectors
  5. The construction
  6. The lattice $S$