O. Biesel

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20142022

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Showing 2016Show all

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math.AC2016

Isomorphisms of Discriminant Algebras

Owen Biesel, Alberto Gioia

For each natural number $n$ , we define a category whose objects are discriminant algebras in rank $n$ , i.e. functorial means of attaching to each rank- $n$ algebra a quadratic algeb…

math.AG2016

Fine compactified moduli of enriched structures on stable curves

Owen Biesel, David Holmes

Enriched structures on stable curves over fields were defined by Maino in the late 1990s, and have played an important role in the study of limit linear series and degenerating jac…

math.AC2016

Galois closure data for extensions of rings

Owen Biesel

To generalize the notion of Galois closure for separable field extensions, we devise a notion of $G$ -closure for algebras of commutative rings $R \to A$ , where $A$ is locally free o…