Pedro Rizzo

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20232026

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math.AG2026

Geometric Invariant Theory for Affine Superschemes

Alexander Quintero Velez, Pedro Rizzo, Alexander Torres-Gomez

We develop Geometric Invariant Theory for affine superschemes under the action of reductive algebraic supergroups, formulating the theory in terms of coordinate Hopf superalgebras…

math.AG2026

The Structure of $C^{\infty}$ -Superschemes

Cristian Danilo Olarte, Pedro Rizzo, Alexander Torres-Gomez

This paper establishes a structural generalization of Batchelor's theorem within the framework of $C^{\infty}$ -superschemes. Our main result proves that any Batchelor space satisfies…

math.AG2025

$C^{\infty}$ -superrings and $C^{\infty}$ -superschemes

Cristian Danilo Olarte, Pedro Rizzo, Alexander Torres-Gomez

This paper develops a theory of $C^{\infty}$ -superrings and their associated $C^{\infty}$ -superschemes. We prove a key equivalence between the category of fair affine $C^{\infty}$ -supers…

Geometric Invariant Theory for Affine Superschemes

The Structure of C∞-Superschemes

C∞-superrings and C∞-superschemes

The Structure of $C^{\infty}$ -Superschemes

$C^{\infty}$ -superrings and $C^{\infty}$ -superschemes