English

Osculating behavior of Kummer surface in $\mathbb P^5$

Algebraic Geometry 2017-10-06 v1 Differential Geometry

Abstract

In an article of 1967 W. Edge gave a description of some beautiful geometric properties of the Kummer surface complete intersection of three quadrics in P5\mathbb P^5. Working on it, R. Dye proved that all its osculating spaces have dimension less than the expected 5. Here we discuss these results, also at the light of some recent result about varieties with hypo-osculating behaviour.

Cite

@article{arxiv.1710.01913,
  title  = {Osculating behavior of Kummer surface in $\mathbb P^5$},
  author = {Emilia Mezzetti},
  journal= {arXiv preprint arXiv:1710.01913},
  year   = {2017}
}

Comments

9 pages, accepted for publication in European Journal of Mathematics

R2 v1 2026-06-22T22:04:22.841Z