arXiv Open Access 2022

Relative forms of real algebraic varieties and examples of quasi-projective surfaces with algebraic moduli of real forms

Anna Bot Adrien Dubouloz

Lihat Sumber

Abstrak

We propose a framework to give a precise meaning to the intuitive notion of "family of real forms of a variety parametrised by a variety" and study some fundamental properties of this notion. As an illustration, for any $n \geq 1$, we construct the first example of a quasi-projective real surface whose mutually non-isomorphic real forms admit a moduli of dimension at least $n$, parametrised by the real points of an affine $n$-space. Expanding on these constructions, we can give quasi-projective real varieties of any dimension whose algebraic moduli of the non-isomorphic real forms has arbitrarily positive dimension.

Topik & Kata Kunci

math.AG

Penulis (2)

Anna Bot

Adrien Dubouloz

Format Sitasi

APA MLA BibTeX

Bot, A., Dubouloz, A. (2022). Relative forms of real algebraic varieties and examples of quasi-projective surfaces with algebraic moduli of real forms. https://arxiv.org/abs/2206.01713

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓