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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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3 results for “superschemes”

C^\infty

-superrings and

C^\infty

-superschemesmath.AG

The paper develops a theory of $C^\infty$ -superrings and their superschemes.

problem Developing a theory for

C^\infty

-superrings and superschemes.

method Proving an equivalence between categories of fair affine

C^\infty

-superschemes and fair

C^\infty

-superrings.

result A key equivalence between fair affine

C^\infty

-superschemes and fair

C^\infty

-superrings.

$C^\infty$-superrings superschemes equivalence fair affine fair

2025-08-13abs ↗pdf ↗

The Structure of

C^\infty

-Superschemesmath.AG

This paper generalizes Batchelor's theorem in $C^\infty$ -superschemes.

problem Establishing global splittings in

C^\infty

-superschemes.

method Structural generalization of Batchelor's theorem.

result Global splittings of

C^\infty

-superspaces can be characterized by Euler vector fields.

$C^\infty$-superschemes Batchelor's theorem global splittings Euler vector fields differential-geometric formulation

2026-05-08abs ↗pdf ↗

On Theories of Superalgebras of Differentiable Functionsmath.DG

This is the first in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we study theories of supercommutative algebras for which infinitely differentiable functions can be evaluated on elements. Such…

2012-11-26abs ↗pdf ↗