Rational Normal Curves in Weighted Projective Space

TL;DR

This paper extends classical results about rational normal curves to weighted projective spaces, exploring properties like determinantality, quadratic generation, and the Koszul property in this new context.

Contribution

It introduces analogues of classical homological properties for rational normal curves in weighted projective spaces, expanding the theoretical framework.

Findings

Determinantality in weighted projective spaces

Nonstandard quadratic generation results

Koszul property extensions

Abstract

This article aims to extend classical homological results about the rational normal curves to analogues in weighted projective spaces. Results include determinantality and nonstandard versions of quadratic generation and the Koszul property.