Veronese Varieties over Fields with non-zero Characteristic: A Survey

Abstract

In the present survey we collect some recent results on nuclei of Veronese varieties and invariant subspaces of normal rational curves. We must assume, however, that the ground field is not "too small", since otherwise a Veronese variety is like dust: "few points" in some "high-dimensional" space.

References in corpus (3)

• The Veronese Surface in PG(5,3) and Witt's 5-$(12,6,1$ Design
• Giuseppe Veronese and Ernst Witt -- Neighbours in PG(5,3)
• A Dimension Formula for the Nucleus of a Veronese Variety

Cited by in corpus (3)

• Nets of conics of rank one in PG(2,q), q odd
• Lifting of divisible designs
• The symmetric representation of lines in $\text{PG}({\mathbb{F}}^3\otimes {\mathbb{F}}^3)$