47 citations · 309 across the 61 of their papers we have counts for
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Singularities of theta divisors and the geometry of A_5
Gavril Farkas, Samuel Grushevsky, Riccardo Salvati Manni +1
We study the codimension two locus H in A_g consisting of principally polarized abelian varieties whose theta divisor has a singularity that is not an ordinary double point. We com…
Green's conjecture for general covers
Marian Aprodu, Gavril Farkas
We establish Green's syzygy conjecture for classes of covers of curves of higher Clifford dimension. These curves have an infinite number of minimal pencils, in particular they do…
Prym varieties and their moduli
Gavril Farkas
We discuss the geometry of the moduli space of Prym varieties. The article is based on series of lectures given in Bedlewo and Luminy. The first section of the paper contains a det…
Moduli of theta-characteristics via Nikulin surfaces
Gavril Farkas, Alessandro Verra
We study moduli spaces of K3 surfaces endowed with a Nikulin involution and their image in the moduli space R_g of Prym curves of genus g. We observe a striking analogy with Mukai'…
Higher rank Brill-Noether theory on sections of K3 surfaces
Gavril Farkas, Angela Ortega
We discuss the role of K3 surfaces in the context of Mercat's conjecture in higher rank Brill-Noether theory. Using liftings of Koszul classes, we show that Mercat's conjecture in…