English

The interpolation problem for a set of three fat points in $\mathbb{P}^1\times\mathbb{P}^1$

Algebraic Geometry 2017-01-16 v1 Commutative Algebra

Abstract

This is an appendix to the recent paper of Favacchio and Guardo. In these notes we describe explicitly a minimal bigraded free resolution and the bigraded Hilbert function of a set of 3 fat points whose support is an almost complete intersection (ACI) in P1×P1.\mathbb{P}^1\times\mathbb{P}^1. This solve the interpolation problem for three points with an ACI support.

Keywords

Cite

@article{arxiv.1701.03677,
  title  = {The interpolation problem for a set of three fat points in $\mathbb{P}^1\times\mathbb{P}^1$},
  author = {Giuseppe Favacchio and Elena Guardo},
  journal= {arXiv preprint arXiv:1701.03677},
  year   = {2017}
}