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Enumeration of Terracini schemes

Ciro Ciliberto

Abstract

In this note we outline a way of computing the expected lenght of the Terracini scheme of a curve, when this scheme is expected to be finite and we give a closed formula for curves in $\p^4$. We also discuss the widely open case of varieties of higher dimension.

Enumeration of Terracini schemes

Abstract

In this note we outline a way of computing the expected lenght of the Terracini scheme of a curve, when this scheme is expected to be finite and we give a closed formula for curves in . We also discuss the widely open case of varieties of higher dimension.

Paper Structure

This paper contains 2 sections, 1 theorem, 24 equations.

Table of Contents

  1. The curve case
  2. Open problems

Key Result

Proposition \oldthetheorem

For $n=2$, i.e., for curves in $\mathbb P^4$, one has

Theorems & Definitions (2)

  • Proposition \oldthetheorem
  • proof