Resurgence and Waldschmidt constant of the ideal of a fat almost collinear subscheme in ℙ2

Authors

  • Hassan Haghighi Faculty of Mathematics, K. N. Toosi University of Technology
  • Mohammad Mosakhani Faculty of Mathematics, K. N. Toosi University of Technology
  • Mohammad Zaman Fashami aculty of Mathematics, K. N. Toosi University of Technology

Keywords:

fat points, containment problem, symbolic power, Waldschmidt constant, resurgence.

Abstract

Let Zn = p0 + p1 + ··· + pn be a configuration of points in ℙ2, where all points pi except p0 lie on a line, and let I(Zn) be its corresponding homogeneous ideal in ???? [ℙ2]. The resurgence and the Waldschmidt constant of I(Zn) in [5] have been computed. In this note, we compute these two invariants for the defining ideal of a fat point subscheme Zn,c = cp0 + p1 +··· + pn, i.e. the point p0 is considered with multiplicity c. Our strategy is similar to [5].

References

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Published

2018-07-11

How to Cite

Haghighi, H., Mosakhani, M., & Fashami, M. Z. (2018). Resurgence and Waldschmidt constant of the ideal of a fat almost collinear subscheme in ℙ2. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 17, 59–65. Retrieved from https://studmath.uken.krakow.pl/article/view/12961

Issue

Vol. 17 (2018)

Section

Published

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