4 papers
Geometric and homological interpretations of tensor flattenings
Matěj Doležálek, Jakub Jagiełła, Piotr Oszer +2
We relate several nonlinear flattenings of structure tensors of finite algebras and modules to their algebraic and homological invariants. Since smoothability of algebras is equiva…
Unrestrictions and concise secant varieties
Jakub Jagiełła, Joachim Jelisiejew
We introduce the concise secant varieties, which are, informally speaking, modular partial desingularisations of secant varieties to Segre embeddings. More precisely, they are proj…
Characteristic numbers of algebras
Jakub Jagiełła, Paweł Pielasa, Anatoli Shatsila
We introduce characteristic numbers of a finite commutative unital -algebra, which are numerical invariants arising from algebraic intersection theory. We characterize…
Classification and degenerations of small minimal border rank tensors via modules
Jakub Jagiełła, Joachim Jelisiejew
We give a self-contained classification of -generic minimal border rank tensors in for . Together with previ…