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

Hans Havlicek

TL;DR

A survey on recent results about nuclei of Veronese varieties and invariant subspaces of normal rational curves is given.

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.

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

TL;DR

A survey on recent results about nuclei of Veronese varieties and invariant subspaces of normal rational curves is given.

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.

Paper Structure

This paper contains 6 sections, 11 equations.

Table of Contents

  1. Introduction
  2. Pascal's triangle modulo a prime $p$
  3. A partition of zero entries
  4. Counting zero entries
  5. Normal rational curves
  6. Definition of $k$-nuclei

Theorems & Definitions (2)

  • Definition 1
  • Definition 2