2 citations · 5 across the 17 of their papers we have counts for
30 papers
Hankel and Multiplication Tensor Completions for Cactus Rank
Alessandra Bernardi, Joachim Jelisiejew, Oriol Reig Fité
We show that the Hankel flat extension formulation of the cactus algorithm is equivalent to a completion problem for multiplication tensors of Artinian Gorenstein algebras. The unk…
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…
On a conjecture by Michael Wemyss regarding the calculation of GV invariants
Joachim Jelisiejew, Agata Smoktunowicz
Contraction algebras are noncommutative algebras introduced by Donovan and Wemyss to classify of 3-dimensional flops. Wemyss conjectures that contraction algebras can be deformed t…
Detecting Direct Sums of Tensors and Their Limits
S. Canino, C. Flavi, J. Jelisiejew
We generalize Mammana's classification of limits of direct sums to more than two factors. We also extend it from polynomials to arbitrary Segre-Veronese format, generalising and un…
The Iarrobino scheme: a self-dual analogue of the Hilbert scheme of points
Joachim Jelisiejew
For a fixed quasi-projective scheme we introduce a self-dual analogue of which we call the Iarrobino scheme of . It is a fine moduli space of zero-dim…
The Hilbert scheme of points on a threefold: broken Gorenstein structures and linkage
Joachim Jelisiejew, Ritvik Ramkumar, Alessio Sammartano
We investigate the Hilbert scheme of points on a smooth threefold. We introduce a notion of broken Gorenstein structure for finite schemes, and show that its existence guarantees s…