64 citations · 193 across the 24 of their papers we have counts for
16 papers · 1 filter
Complex and tropical counts via positive characteristic
Marco Pacini, Damiano Testa
We reconcile the discrepancy between the complex and tropical counts of some enumerative problems reducing to positive characteristic. Each problem that we consider suggests a prim…
On a question of Dolgachev
Marco Pacini, Damiano Testa
For each even, positive integer , we define a rational self-map on the space of plane curves of degree , using classical contravariants. In the case of plane quartics, we sho…
Reconstructing general plane quartics from their inflection lines
Marco Pacini, Damiano Testa
Let be a general plane quartic and let denote the configuration of inflection lines of . We show that if is any plane quartic with the same configuration o…
3x3 Singular Matrices of Linear Forms
Damiano Testa
We determine the irreducible components of the space of 3x3 matrices of linear forms with vanishing determinant. We show that there are four irreducible components and we identify…
A few questions about curves on surfaces
Ciro Ciliberto, Andreas Leopold Knutsen, John Lesieutre +4
In this note we address the following kind of question: let X be a smooth, irreducible, projective surface and D a divisor on X$satisfying some sort of positivity hypothesis, then…
On minimal rational elliptic surfaces
Antonio Laface, Damiano Testa
We construct projective -factorial Fano toric varieties and show that for any minimal rational elliptic surface there is one such toric variety and a div…