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Nodal Enriques surfaces are Reye congruences

Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani

Abstract

We show that every classical Enriques surface containing a smooth rational curve is a Reye congruence.

Nodal Enriques surfaces are Reye congruences

Abstract

We show that every classical Enriques surface containing a smooth rational curve is a Reye congruence.
Paper Structure (6 sections, 19 theorems, 24 equations)

This paper contains 6 sections, 19 theorems, 24 equations.

Key Result

theorem 1

Every classical nodal Enriques surface is a Reye congruence.

Theorems & Definitions (48)

  • theorem 1
  • remark 1
  • remark 2
  • lemma 1: Cossec.Dolgachev or CossecDolgachevLiedtke
  • lemma 2
  • proof
  • proposition 1
  • proof
  • definition 1
  • definition 2
  • ...and 38 more