Multiplier ideals of monomial space curves
This paper presents a formula for the multiplier ideals of a monomial space curve. The formula is obtained from a careful choice of log resolution. We construct a toric blowup of affine space in such a way that a log resolution of the monomial curve may be constructed...
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| Format: | Article |
| Language: | English |
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American Mathematical Society
2014-02-01
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| Series: | Proceedings of the American Mathematical Society, Series B |
| Online Access: | http://www.ams.org/bproc/2014-01-04/S2330-1511-2014-00001-8/ |
| _version_ | 1818956254946525184 |
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| author | Howard M Thompson |
| author_facet | Howard M Thompson |
| author_sort | Howard M Thompson |
| collection | DOAJ |
| description | This paper presents a formula for the multiplier
ideals of a monomial space curve. The formula is obtained from a
careful choice of log resolution. We construct a toric blowup of
affine space in such a way that a log resolution of the monomial
curve may be constructed from this toric variety in a well
controlled manner. The construction exploits a theorem of
González Pérez and Teissier (2002). |
| first_indexed | 2024-12-20T10:51:02Z |
| format | Article |
| id | doaj.art-aeee8e97cf3344bcbdfc1d3f38c369cd |
| institution | Directory Open Access Journal |
| issn | 2330-1511 |
| language | English |
| last_indexed | 2024-12-20T10:51:02Z |
| publishDate | 2014-02-01 |
| publisher | American Mathematical Society |
| record_format | Article |
| series | Proceedings of the American Mathematical Society, Series B |
| spelling | doaj.art-aeee8e97cf3344bcbdfc1d3f38c369cd2022-12-21T19:43:16ZengAmerican Mathematical SocietyProceedings of the American Mathematical Society, Series B2330-15112014-02-0114334110.1090/S2330-1511-2014-00001-8bproc00001Multiplier ideals of monomial space curvesHoward M Thompson0 Department of Mathematics, University of Michigan-Flint, Flint, Michigan 48502-1950 This paper presents a formula for the multiplier ideals of a monomial space curve. The formula is obtained from a careful choice of log resolution. We construct a toric blowup of affine space in such a way that a log resolution of the monomial curve may be constructed from this toric variety in a well controlled manner. The construction exploits a theorem of González Pérez and Teissier (2002).http://www.ams.org/bproc/2014-01-04/S2330-1511-2014-00001-8/ |
| spellingShingle | Howard M Thompson Multiplier ideals of monomial space curves Proceedings of the American Mathematical Society, Series B |
| title | Multiplier ideals of monomial space curves |
| title_full | Multiplier ideals of monomial space curves |
| title_fullStr | Multiplier ideals of monomial space curves |
| title_full_unstemmed | Multiplier ideals of monomial space curves |
| title_short | Multiplier ideals of monomial space curves |
| title_sort | multiplier ideals of monomial space curves |
| url | http://www.ams.org/bproc/2014-01-04/S2330-1511-2014-00001-8/ |
| work_keys_str_mv | AT howardmthompson multiplieridealsofmonomialspacecurves |