On the representation type of a projectiva variety

TL;DR

This paper proves that the restriction of the Veronese 3-uple embedding to certain smooth subvarieties results in varieties of wild representation type, highlighting complex algebraic structures in projective geometry.

Contribution

It establishes that the restriction of the Veronese 3-uple embedding induces wild representation type on smooth arithmetically Cohen-Macaulay subvarieties.

Findings

Restriction of Veronese 3-uple embedding yields wild representation type

Applies to smooth arithmetically Cohen-Macaulay subvarieties

Highlights complexity of algebraic structures in projective varieties

Abstract

Let X be a smooth arithmetically Cohen-Macaulay subvariety of Pn. We prove that the restriction to X of the Veronese 3-uple embedding of Pn embeds X as a variety of wild representation type.