3 papers
math.AG2026
Exceptional loci in algebraic surfaces
Lucia Caporaso, Amos Turchet
We study the algebraic exceptional set for surfaces (S,B) of log general type, when B has at least three irreducible components; we prove that in most cases it is finite or empty.
math.AG2026
Tropical curves of unibranch points and hypertangency
Lucia Caporaso, Amos Turchet
We study integral plane curves meeting at a single unibranch point and show that such curves must satisfy two equivalent conditions. A numeric condition: the local invariants of th…
math.AG2025
Hypertangency of plane curves and the algebraic exceptional set
Lucia Caporaso, Amos Turchet
We investigate plane curves intersecting in at most two unibranched points to study the algebraic exceptional set appearing in standard conjectures of diophantine and hyperbolic ge…