Resurgence and Waldschmidt constant of the ideal of a fat almost collinear subscheme in P2
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 K[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 de...
| Main Authors: | , , |
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| Format: | Article |
| Language: | deu |
| Published: |
Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
2018-07-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Subjects: | |
| Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/292 |
| Summary: | 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 K[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]. |
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| ISSN: | 2081-545X 2300-133X |