A classical complex analyst encounters a post-modern mathematical object.
A look into the Severi varieties of curves in higher codimension.
A note on the discriminant of a space curve.
A note on the Hilbert scheme of curves of degree and genus .
A Note on the Rational Cuspidal Curves
In this short note we give an elementary combinatorial argument, showing that the conjecture of J. Fernández de Bobadilla, I. Luengo-Velasco, A. Melle-Hernández and A. Némethi [Proc. London Math. Soc. 92 (2006), 99-138, Conjecture 1] follows from Theorem 5.4 of Brodzik and Livingston [arXiv:1304.1062] in the case of rational cuspidal curves with two critical points.
A remark on Abhyankar's space lines
A Remark on the Hilbert Scheme of smooth complex space curves.
Applications of iterated curve blow-up to set theoretic complete intersections in ...3.
Arithmetic genus of integral space curves
We give an estimation for the arithmetic genus of an integral space curve which is not contained in a surface of degree . Our main technique is the Bogomolov-Gieseker type inequality for proved by Macrì.
Arithmetically Cohen-Macaulay curves in P4 of degree 4 and genus 0.
Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.
Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.