19 citations · 40 across the 15 of their papers we have counts for
22 papers · 1 filter
Involutions on hyperelliptic curves and Prym maps
Paweł Borówka, Angela Ortega
We investigate the geometry of smooth hyperelliptic curves that possess additional involutions, especially from the point of view of the Prym theory. Our main result is the injecti…
Hodge classes on the moduli space of W(E_6)-covers and the geometry of A_6
Valery Alexeev, Ron Donagi, Gavril Farkas +2
In previous work we showed that the Hurwitz space of W(E_6)-covers of the projective line branched over 24 points dominates via the Prym-Tyurin map the moduli space A_6 of principa…
Klein coverings of genus 2 curves
Paweł Borówka, Angela Ortega
We investigate the geometry of étale coverings of smooth complex genus 2 curves with the monodromy group isomorphic to the Klein four-group. There are two cases, isotropic an…
The trigonal construction in the ramified case
Herbert Lange, Angela Ortega
To every double cover ramified in two points of a general trigonal curve of genus g, one can associate an étale double cover of a tetragonal curve of genus g+1. We show that the co…
On generated coherent systems and a conjecture of D. C. Butler
L. Brambila-Paz, O. Mata-Gutierrez, P. E. Newstead +1
Let be a general generated coherent system of type on a general non-singular irreducible complex projective curve. A conjecture of D. C. Butler relates the semi…
Hyperelliptic curves on polarised abelian surfaces
Paweł Borówka, Angela Ortega
We investigate the number and the geometry of smooth hyperelliptic curves on a general complex abelian surface. We show that the only possibilities of genera of such curves are $2,…