Properties of Multihomogeneous Spaces and relation with T-varieties

TL;DR

This paper explores the properties of multihomogeneous spaces linked to ${ m Z}^n$-graded algebras and examines their connection with the structure of $T$-varieties in algebraic geometry.

Contribution

It provides a new understanding of multihomogeneous spaces and their relationship with $T$-varieties, expanding the theoretical framework in algebraic geometry.

Findings

Characterization of multihomogeneous spaces in terms of ${ m Z}^n$-graded algebras

Establishment of a relationship between multihomogeneous spaces and $T$-varieties

Insights into the structure and properties of $T$-varieties

Abstract

We study multihomogeneous spaces corresponding to ${\mathbb Z}^n$-graded algebras over an algebraically closed field of characteristic 0 and their relation with the description of $T$-varieties.