6 citations · 21 across the 18 of their papers we have counts for
23 papers
On the Picard number and the extension degree of period matrices of complex tori
Robert Auffarth, Jorge Duque Franco
The rank of the Néron-Severi group of a complex torus of dimension satisfies The degree of the extension field generated over $…
A note on multisecants of the Kummer variety of a Jacobian
Robert Auffarth, Sebastián Rahausen
We show that if is a smooth projective curve and is a on , then we obtain a rational map $\mathrm{Sym}^{n}(C)\dashrightarrow\mathfrak{…
Counting polarizations on abelian varieties with group action
Robert Auffarth, Angel Carocca, Rubí E. Rodríguez
Let be the moduli space of principally polarized abelian varieties. We study the problem of counting the number of principal polarizations modulo the natural action…
Pseudoreflections on Prym Varieties
Robert Auffarth, Martí Lahoz, Juan Carlos Naranjo
We show that for every g greater or equal than 5, the locus of Prym varieties in the moduli space of principally polarized abelian varieties of dimension g-1 that possess a pseudor…
On the Jacobian variety of the Accola-Maclachlan curve of genus four
Robert Auffarth, Sebastián Reyes-Carocca, Anita M. Rojas
In this short note, we study the Jacobian variety of the Accola-Maclachlan curve of genus four and obtain explicitly its Poincaré isogeny decomposition. More precisely, we show tha…
Galois subspaces for projective varieties
Robert Auffarth
Given an embedding of a projective variety into projective space, we study the structure of the space of all linear projections that, when composed with the embedding, give a Galoi…