6 papers
A note on smooth quotients of Prym varieties
Anatoli Shatsila
We study pseudoreflections of geometric origin on Prym varieties of étale double covers. We prove that if the genus of the base curve is then every such pseudoreflection…
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 …
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…
On the construction of a counterexample to Strassen's rank additivity conjecture
Viktoriia Borovik, Cosimo Flavi, Paweł 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…
Pryms of coverings of genus 2 curves
Paweł Borówka, 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…
Geometry of elliptic normal curves of degree 6
Anatoli Shatsila
In our work we focus on the geometry of elliptic normal curves of degree 6 embedded in . We determine the space of quadric hypersurfaces through an elliptic normal cu…