2021arXiv (Cornell University)Open access

Some observations on the dimension of Fano K-moduli

Jesus Martinez‐Garcia, Cristiano Spotti

Open full text 1 citations

Abstract

In this short note we show the unboundedness of the dimension of the K-moduli space of $n$-dimensional Fano varieties, and that the dimension of the stack can also be unbounded while, simultaneously, the dimension of the corresponding coarse space remains bounded.

Open-access reader

About this research paper

What this paper is about

In this short note we show the unboundedness of the dimension of the K-moduli space of $n$-dimensional Fano varieties, and that the dimension of the stack can also be unbounded while, simultaneously, the dimension of the corresponding coarse space remains bounded.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this short note we show the unboundedness of the dimension of the K-moduli space of $n$-dimensional Fano varieties, and that the dimension of the stack can also be unbounded while, simultaneously, the dimension of the corresponding coarse space remains bounded.

Key concepts: Fano plane, Dimension (graph theory), Stack (abstract data type), Moduli space, Bounded function, Mathematics, Space (punctuation), Pure mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
Some observations on the dimension of Fano K-moduli — Research Paper | ScholarLens