A Castelnuovo bound for smooth surfaces.
A proof of Noether's formula for the arithmetic genus of an algebraic surface
A Remark on K1 of an Algebraic Surface.
Algebraic equivalence modulo rational equivalence on a cubic threefold
Algebraic Fermi curves
An improved bound for the degree of smooth surfaces in not of general type
Are rational curves determined by tangent vectors?
Let be a projective variety which is covered by rational curves, for instance a Fano manifold over the complex numbers. In this paper, we give sufficient conditions which guarantee that every tangent vector at a general point of is contained in at most one rational curve of minimal degree. As an immediate application, we obtain irreducibility criteria for the space of minimal rational curves.