6 papers
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.
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…
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…
On the role of secondary electrons in the color change of high-dose X-ray irradiated topaz
G. S. Elettivo, M. Ferraro, R. Filosa +4
Owing to its high brightness, synchrotron light allows for investigating with extreme precision the physical properties of matter. The irradiation with high-dose X-ray beams may al…
Rational distances from given rational points in the plane
Pietro Corvaja, Amos Turchet, Umberto Zannier
In this paper we study sets of points in the plane with rational distances from r prescribed points P_1, ...,P_r. A crucial case arises for r = 3, where we provide simple necessary…
The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors
Kenneth Ascher, Amos Turchet, Wern Yeong
We prove that the complement of a very general pair of hypersurfaces of total degree in is algebraically hyperbolic modulo a proper closed subvariety. This prov…