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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 -Superschemes
Cristian Danilo Olarte, Pedro Rizzo, Alexander Torres-Gomez
This paper establishes a structural generalization of Batchelor's theorem within the framework of -superschemes. Our main result proves that any Batchelor space satisfies…
math.AG2025
-superrings and -superschemes
Cristian Danilo Olarte, Pedro Rizzo, Alexander Torres-Gomez
This paper develops a theory of -superrings and their associated -superschemes. We prove a key equivalence between the category of fair affine -supers…