4 papers · 1 filter
The log tangent space of the log jet space
Leo Herr
We introduce new notions of log jet spaces. Mildly singular spaces are ``smooth'' in log geometry, so their log jet spaces behave like the jet spaces of smooth varieties. Myriad ex…
Deformations of Algebras with 2-Extensions
Leo Herr
We apply the notion of 2-extensions of algebras to the deformation theory of algebras. After standard results on butterflies between 2-extensions, we use this (2, 0)-category to gi…
Costello's pushforward formula: errata and generalization
Leo Herr, Jonathan Wise
K. Costello's Pushforward Formula is not correct as stated. We verify it holds under an assumption of properness or of a weaker notion we call "purity." We then check many papers t…
Deformations of Modules Through Butterflies and Gerbes
Leo Herr
Classifying obstructions to the problem of finding extensions between two fixed modules goes back at least to L. Illusie's thesis. Our approach, following in the footsteps of J. Wi…