activity
19942023
most citedCombinatorial and algebro-geometric cohomology classes on the moduli spaces of curves

135 citations · 152 across the 9 of their papers we have counts for

collaborators

14 papers

math.AG2023

A remark on du Val linear systems

Enrico Arbarello

Let , be the genus du Val linear system on a Halphen surface of index . We prove that the Clifford index is constant on smooth curves . Let…

math.AG2023★ 1 cited

Singularities of Bridgeland moduli spaces for K3 categories: an update

Enrico Arbarello, Giulia Saccà

This survey is a continuation of the study undertaken in \cite{AS18}. We examine the local structure of Bridgeland moduli spaces $M_σ(v,\D)$, where the relevant triangulated catego…

math.AG2020

Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach

Enrico Arbarello, Giulio Codogni, Giuseppe Pareschi

This paper is withdrawn since we found a flaw in the proof of Theorem 4, asserting that the base locus of the complete linear system of an ample line bundle on a complex abelian va…

math.AG2016★ 3 cited

Rank two vector bundles on polarised Halphen surfaces and the Gauss-Wahl map for du Val curves

Enrico Arbarello, Andrea Bruno

A genus-g du Val curve is a degree-3g plane curve having 8 points of multiplicity g, one point of multiplicity g-1, and no other singularity. We prove that the corank of the Gauss-…

math.AG2015

Explicit Brill-Noether-Petri general curves

Enrico Arbarello, Andrea Bruno, Gavril Farkas +1

Let be the points in with coordinates $$(-2,3),(-1,-4),(2,5),(4,9),(52,375), (5234, 37866),(8, -23), (43, 28…

math.AG2015★ 1 cited

On hyperplane sections of K3 surfaces

Enrico Arbarello, Andrea Bruno, Edoardo Sernesi

Let C be a Brill-Noether-Petri curve of genus g\geq 12. We prove that C lies on a polarized K3 surface, or on a limit thereof, if and only if the Gauss-Wahl map for C is not surjec…