N. Mertes

most citedFirst order thickenings and cotorsors

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CT2021

Beck torsors, formally unramified objects, and Kähler differentials

Nicholas Mertes

Let $C$ be a category with pullbacks. We define a $Beck torsor$ in $C$ as a morphism $Z \to Y$ in $C$ which is a torsor for a Beck module over…

math.CT2020

Torsor-cotorsor duality of Ext groups

Nicholas Mertes

Let $A$ be a ring, and let $M$ and $N$ be $A$ -modules. Then $N$ can be viewed as a group object in the category $A$ -Mod/ $M$ of $A$ -modules over $M$ and Ext $^{1} (M, N)$ can be interpr…

math.AG2020★ 1 cited

First order thickenings and cotorsors

Nicholas Mertes

Let $X$ be a scheme and let $M$ be a quasi-coherent sheaf on $X$ . Then $M$ can be viewed as a cogroup object in the category of schemes under $X$ . We show that…