6 papers
On the Prym map of degree 4 cyclic covers of hyperelliptic curves
Anatoli Shatsila
In this paper, we study the Prym map associated to degree 4 étale cyclic covers of genus hyperelliptic curves restricted to the irreducible component …
Pryms of coverings of genus 2 curves
PaweŠBorówka, Anatoli Shatsila
We study unramified Galois coverings of genus 2 curves and the corresponding Prym varieties and Prym maps. In particular, we prove that any such…
Prym maps of cyclic coverings of hyperelliptic curves
PaweŠBorówka, Juan Carlos Naranjo, Angela Ortega +1
We prove that the Prym map corresponding to étale cyclic coverings of hyperelliptic curves is injective whenever the degree of the covering is not a power of an odd pri…
Characteristic numbers of algebras
Jakub JagieÅÅa, PaweÅ Pielasa, Anatoli Shatsila
We introduce characteristic numbers of a finite commutative unital -algebra, which are numerical invariants arising from algebraic intersection theory. We characterize…
On the construction of a counterexample to Strassen's rank additivity conjecture
Viktoriia Borovik, Cosimo Flavi, PaweÅ Pielasa +2
The rank additivity conjecture, first formulated by Volker Strassen in 1973, states that the rank of the direct sum of two independent tensors is equal to the sum of their individu…
Exact values of generic subrank
PaweŠPielasa, Matouš Šafránek, Anatoli Shatsila
In this article we prove the subrank of a generic tensor in to be by providing a lower bound to the known upper bound. Mor…