arXiv subjects

Alexander Stathis

Publications and source records attributed to Alexander Stathis.

2 recordsLinked to original sources

arXiv2020

Higher Codimension Cycles on the Hilbert Scheme of Three Points on the Projective Plane

In this paper, we study the higher codimensional cycle structure of the Hilbert scheme of three points in the projective plane. In particular, we compute all Chern (and Segre) classes of all tautological bundles on it and compute the nef (effective) cones of cycles in codimensions 2 and 3 (dimensions 2 and 3).

math.AG↗

arXiv2018

Towards a Combinatorial Description of the Intersection Product on $\mathbb{P}^{2[N]}$

We prove that there is an algorithm to compute the class of the intersection of the divisor of schemes incident to a fixed line with any other class of a basis of the Chow ring $A^*(\mathbb{P}^{2[N]})$ due to Mallavibarrena and Sols. This is progress towards a combinatorial description of the intersection product on the Hilbert scheme of points in the projective plane.

math.AG↗