8 citations · 24 across the 13 of their papers we have counts for
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The second syzygy schemes of curves of large degree
Marian Aprodu, Andrea Bruno, Edoardo Sernesi
The present paper is a natural continuation of a previous work where we studied the second syzygy scheme of canonical curves. We find sufficient conditions ensuring that the second…
Irreducibility of Severi varieties on K3 surfaces
Andrea Bruno, Margherita Lelli-Chiesa
Let be a general primitively polarized surface of genus . For every we consider the Severi variety parametrizing integral curves in with exact…
A characterization of bielliptic curves via syzygy schemes
Marian Aprodu, Andrea Bruno, Edoardo Sernesi
We prove that a canonical curve of genus is bielliptic if and only if its second syzygy scheme is different from .
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-…
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…
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…