47 citations · 309 across the 61 of their papers we have counts for
78 papers
Suciu's Conjecture on hyperplane arrangements
Marian Aprodu, Gavril Farkas, Claudiu Raicu +1
We prove that the resonance of any hyperplane arrangement is separable. Using the main result from arXiv:2512.10160 this proves Suciu's conjecture on the fundamental group of every…
The unirationality of and moduli spaces of pointed spin curves
Gavril Farkas, Alessandro Verra
We show that the moduli space of odd spin curves of genus 9 is unirational. This is the highest genus for which such a result is known. This is achieved by realizing birationally t…
Syzygies and Koszul modules in geometry
Gavril Farkas
We describe the progress in the last 10 years related to Koszul modules and syzygies of algebraic varieties. Topics discussed include the general theory of Koszul modules and reson…
The effective Chen ranks conjecture
Marian Aprodu, Gavril Farkas, Claudiu Raicu +1
Koszul modules and their associated resonance schemes are objects appearing in a variety of contexts in algebraic geometry, topology, and combinatorics. We present a proof of an ef…
Secant loci on moduli of Prym varieties
Gavril Farkas, Margherita Lelli-Chiesa
We present a Prym analogue of Lazarsfeld's result that curves on general polarized K3 surfaces verify the Brill-Noether Theorem, or equivalently, that their canonical embedding has…
Hurwitz-Brill-Noether theory via K3 surfaces and stability conditions
Gavril Farkas, Soheyla Feyzbakhsh, Andrés Rojas
We develop a novel approach to the Brill-Noether theory of curves endowed with a degree k cover of the projective line via Bridgeland stability conditions on elliptic K3 surfaces.…