Log canonical thresholds of quasi-ordinary hypersurface singularities.
| dc.contributor.author | Buder, Nero | |
| dc.contributor.author | González Pérez, Pedro Daniel | |
| dc.contributor.author | Gozález Villa, Manuel | |
| dc.date.accessioned | 2023-06-20T03:33:24Z | |
| dc.date.available | 2023-06-20T03:33:24Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | The log canonical thresholds of irreducible quasi-ordinary hypersurface singularities are computed using an explicit list of pole candidates for the motivic zeta function found by the last two authors. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | NSA | |
| dc.description.sponsorship | MCI-Spain | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21836 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.officialurl | http://www.ams.org/journals/proc/2012-140-12/S0002-9939-2012-11416-9/S0002-9939-2012-11416-9.pdf | |
| dc.identifier.relatedurl | http://www.ams.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/43858 | |
| dc.issue.number | 12 | |
| dc.journal.title | Proceedings of the American Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 4083 | |
| dc.page.initial | 4075 | |
| dc.publisher | American Mathematical Society | |
| dc.relation.projectID | H98230-11-1-0169. | |
| dc.relation.projectID | MTM2010-21740-C02. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Log canonical threshold | |
| dc.subject.keyword | Quasi-ordinary singularity. | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Log canonical thresholds of quasi-ordinary hypersurface singularities. | |
| dc.type | journal article | |
| dc.volume.number | 140 | |
| dcterms.references | S. S. Abhyankar, On the ramification of algebraic functions, Amer. J. Math. 77 (1955), 575–592. M. Aprodu and D. Naie, Enriques diagrams and log-canonical thresholds of curves on smooth surfaces. Geom. Dedicata 146 (2010), 43–66. E. Artal Bartolo, Pi. Cassou-Nogues, I. Luengo, and A.Melle-Hern´andez, On the logcanonical threshold for germs of plane curves. Singularities I, Contemp. Math., 474, Amer. Math. Soc., Providence, RI, 2008, pp. 1–14. Quasi-ordinary power series and their zeta functions, Mem. Amer. Math. Soc. 178 (2005), no. 841, vi+85 pp. N. Budur, Singularity invariants related to Milnor fibers: survey. To appear in Zeta Functions in Algebra and Geometry, Contemp. Math., Amer. Math. Soc. T. de Fernex, L. Ein, and M. Mustata, Shokurov’s ACC conjecture for log canonical thresholds on smooth varieties. Duke Math. J. 152 (2010), no. 1, 93–114. J. Denef and F. Loeser, Geometry on arc spaces of algebraic varieties, European Congress of Mathematics, Vol. I (Barcelona, 2000), Progr. Math., vol. 201, Birkhauser,Basel, 2001,pp. 327–348. V. Egorin, Characteristic varieties of algebraic curves.Ph.D. Thesis, University of Illinois at Chicago,2004, 80 pp. Y.-N. Gau, Embedded topological classification of quasi-ordinary singularities, Mem. Amer.Math. Soc. 74 (1988), no. 388, 109–129. With an appendix by Joseph Lipman. P. D. Gonzalez Perez, Toric embedded resolutions of quasi-ordinary hypersurface singularities,Ann. Inst. Fourier (Grenoble) 53 (2003), no. 6, 1819–1881. P. D. Gonzalez Perez and M. Gonz´alez Villa, Motivic Milnor fibre of a quasi-ordinary hypersurface.arXiv:1105.2480v1. J.-i. Igusa, On the first terms of certain asymptotic expansions. Complex analysis and algebraic geometry, Iwanami Shoten, Tokyo, 1977, pp. 357–368. L. H. Halle and J. Nicaise, Motivic zeta functions of abelian varieties, and the monodromy conjecture, Adv. Math. 227 (2011), no. 1, 610–653. Motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties. arXiv:1012.4969. J. Kollar, Singularities of pairs. Algebraic geometry –Santa Cruz 1995, Proc. Sympos. Pure Math., 62, Part 1, Amer. Math. Soc., Providence, RI, 1997, pp. 221–287. T. Kuwata, On log canonical thresholds of reducible plane curves. Amer. J. Math. 121 (1999),no. 4, 701–721. R. Lazarsfeld, Positivity in algebraic geometry. II.Positivity for vector bundles, and multiplier ideals. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, 49. Springer-Verlag, Berlin, 2004. J. Lipman, Topological invariants of quasi-ordinary singularities, Mem. Amer. Math. Soc. 74 (1988), no. 388, 1–107. M. Mustata, Singularities of pairs via jet schemes, J.Amer. Math. Soc. 15 (2002), 599–615. W. Veys and W. Zuniga-Galindo, Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra. Trans. Amer. Math. Soc. 360 (2008), no. 4, 2205–2227. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | b7087753-f54f-4fdc-ac95-83b1b7fae921 | |
| relation.isAuthorOfPublication.latestForDiscovery | b7087753-f54f-4fdc-ac95-83b1b7fae921 |
Download
Original bundle
1 - 1 of 1