Essential coordinate components of characteristic varieties.
| dc.contributor.author | Artal Bartolo, Enrique | |
| dc.contributor.author | Carmona Ruber, Jorge | |
| dc.contributor.author | Cogolludo Austín, José Ignacio | |
| dc.date.accessioned | 2023-06-20T10:36:26Z | |
| dc.date.available | 2023-06-20T10:36:26Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | We give an algebraic and topological interpretation of essential coordinate components of characteristic varieties and illustrate their importance with an example. | |
| dc.description.department | Sección Deptal. de Sistemas Informáticos y Computación | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/22207 | |
| dc.identifier.doi | 10.1017/S0305004103007394 | |
| dc.identifier.issn | 1469-8064 | |
| dc.identifier.officialurl | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=202118 | |
| dc.identifier.relatedurl | http://journals.cambridge.org | |
| dc.identifier.relatedurl | http://arxiv.org/pdf/math/0211105v1.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50747 | |
| dc.issue.number | 2 | |
| dc.journal.title | Mathematical Proceedings of the Cambridge Philosophical Society | |
| dc.language.iso | eng | |
| dc.page.final | 299 | |
| dc.page.initial | 287 | |
| dc.publisher | Cambridge Philosophical Society | |
| dc.relation.projectID | BFM2001-1488-C02-02 | |
| dc.relation.projectID | BFM2001-1488-C02-01. | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Essential coordinate components of characteristic varieties. | |
| dc.type | journal article | |
| dc.volume.number | 136 | |
| dcterms.references | D. Arapura. Geometry of cohomology support loci for local systems I. J. Algebraic Geom. 6 (1997), 563–597. E. Artal. Sur les couples de Zariski. J. Algebraic Geom. 4 (1994), 223–247. E. Artal, J. Carmona and J. I. Cogolludo. On sextic curves with big Milnor number. Trends in Singularities (A.Libgober and M. Tib˘ar, eds.), Trends in Mathematics (Birkh¨auser Verlag,2002), pp. 1–29. E. Artal, J. Carmona, J. I. Cogolludo, I. Luengo and A.Melle. Fundamental group of plane curves and related invariants, Mathematical contributions: volume in honor of Professor Joaquın Arregui Fern´andez (Spanish), Editorial Complutense, Madrid, 2000, pp. 77–104. E. Artal, J. Carmona, J. I. Cogolludo and H. O Tokunaga. Sextics with singular points in special position. J. Knot Theory Ramifications 10 (2001), no. 4, 547–578. G. Barthel, F. Hirzebruch and T. H¨ofer.Geradenkonfigurationen und Algebraische Fl¨achen (Friedr. Vieweg & Sohn, 1987). J. I. Cogolludo. Topological invariants of the complements to arrangements of rational plane curves. Mem. Amer. Math. Soc. 159 (2002) no. 756. D. C. Cohen and A. I. Suciu. Characteristic varieties of arrangements. Math. Proc. Camb.Phil. Soc. 127 (1999), no. 1, 33–53. The GAP Group, Aachen, St Andrews. GAP – Groups, algorithms and programming, Version 4.2, 2000, (http://www-gap.dcs.st-and.ac.uk/~gap). G.-M. Greuel and B. Martin. homolog.lib, A singular 2.0 library for homological algebra. Centre for Computer Algebra, University of Kaiserslautern (2001), http://www. singular.uni-kl.de. G.-M. Greuel, G. Pfister and H. Schonemann. Singular 2.0, A Computer Algebra System for Polynomial Computations. Centre for Computer Algebra, University of Kaiserslautern (2001),http://www.singular.uni-kl.de. E. Hironaka. Alexander stratifications of character varieties. Ann. Inst. Fourier (Grenoble)47 (1997), no. 2,555–583. A. Libgober. Characteristic varieties of algebraic curves, Applications of algebraic geometry to coding theory, physics and computation (Eilat, 2001), (Kluwer Acad. Publ.,2001), pp. 215–254. MR 1 866 902. A. Libgober. First order deformations for rank one local systems with a non-vanishing cohomology. Topology Appl. 118 (2002), no. 1-2, 159–168. Arrangements in Boston: a Conference on Hyperplane Arrangements (1999). D. Matei and A. Suciu. Hall invariants, homology of subgroups and characteristic varieties.Int. Math. Res. Not. 9 (2002), 465–503. D. Matei. Fundamental groups of links and arrangements: characteristic varieties, resonance varieties, and finite index subgroups. Ph.D. thesis (Northeastern University,Boston, MA,1999). M. Sakuma. Homology of abelian coverings of links and spatial graphs. Canad. J. Math. 47 (1995), no. 1, 201–224. A. I. Suciu. Fundamental groups of line arrangements:enumerative aspects. Advances in algebraic geometry motivated by physics (Lowell, 2000). Contemp.Math., vol. 276, (2001),pp. 43–79. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | faea3c31-07a3-433c-96f8-f1bfae9110a1 | |
| relation.isAuthorOfPublication.latestForDiscovery | faea3c31-07a3-433c-96f8-f1bfae9110a1 |
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