Pedro Rizzo

activity

20232026

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2 papers · 1 filter

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…

math.RA2025

Valuations on Superrings

Pedro Rizzo, Joel Torres del Valle, Alexander Torres-Gomez

A valuation theory for superrings is developed, extending classical constructions from commutative algebra to the $Z_{2}$ -graded and supercommutative setting. We define valua…

C∞-superrings and C∞-superschemes

Valuations on Superrings

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