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Algebraic theory of dicritical divisors

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dc.contributor.authorLuengo Velasco, Ignacio
dc.contributor.authorAbhyankar, Shreeram S.
dc.date.accessioned2023-06-20T00:16:47Z
dc.date.available2023-06-20T00:16:47Z
dc.date.issued2011-12
dc.description.abstractThe topological theory of dicritical divisors is algebracized which makes it valid for nonzero characteristic as well as mixed characteristic.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16483
dc.identifier.doi10.1353/ajm.2011.0045
dc.identifier.issn0002-9327
dc.identifier.officialurlhttp://muse.jhu.edu/journals/ajm/summary/v133/133.6.abhyankar.html
dc.identifier.relatedurlhttp://muse.jhu.edu/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42321
dc.issue.number6
dc.journal.titleAmerican Journal of Mathematics
dc.language.isoeng
dc.page.final1732
dc.page.initial1713
dc.publisherJohns Hopkins Univ Press
dc.rights.accessRightsrestricted access
dc.subject.cdu514.7
dc.subject.keywordJacobian Conjecture
dc.subject.keywordThoughts
dc.subject.ucmGeometría diferencial
dc.subject.unesco1204.04 Geometría Diferencial
dc.titleAlgebraic theory of dicritical divisors
dc.typejournal article
dc.volume.number133
dcterms.referencesS. S. Abhyankar, On the valuations centered in a local domain, Amer. J. Math. 78 (1956), 321–348. S. S. Abhyankar, Ramification Theoretic Methods in Algebraic Geometry, Ann. of Math. Stud., no. 43, Princeton University Press, Princeton, NJ, 1959. S. S. Abhyankar, Resolution of Singularities of Embedded Algebraic Surfaces, Pure Appl. Math., vol. 24, Academic Press, New York, 1966. S. S. Abhyankar, Inversion and invariance of characteristic pairs, Amer. J. Math. 89 (1967), 363–372. S. S. Abhyankar, Historical ramblings in algebraic geometry and related algebra, Amer. Math. Monthly 83 (1976), no. 6, 409–448. S. S. Abhyankar, Lectures on Expansion Techniques in Algebraic Geometry, Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. 57, Tata Institute of Fundamental Research, Bombay, 1977. S. S. Abhyankar, On the semigroup of a meromorphic curve. I, Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977) (Tokyo), Kinokuniya Book Store, 1978, pp. 249–414. S. S. Abhyankar, Quasirational singularities, Amer. J. Math. 101 (1979), no. 2, 267–300. S. S. Abhyankar, Algebraic Geometry for Scientists and Engineers, Math. Surveys Monogr., vol. 35, American Mathematical Society, Providence, RI, 1990. S. S. Abhyankar, Some remarks on the Jacobian question, Proc. Indian Acad. Sci. Math. Sci. 104 (1994), no. 3, 515–542. S. S. Abhyankar, Resolution of Singularities of Embedded Algebraic Surfaces, 2nd ed., Springer Monogr. Math., Springer-Verlag, Berlin, 1998. S. S. Abhyankar, Lectures on Algebra. Vol. I, World Scientific Publishing, Hackensack, NJ, 2006. S. S. Abhyankar, Some thoughts on the Jacobian conjecture. I, J. Algebra 319 (2008), no. 2, 493–548. S. S. Abhyankar, Some thoughts on the Jacobian conjecture. II, J. Algebra 319 (2008), no. 3, 1154–1248. S. S. Abhyankar, Some thoughts on the Jacobian conjecture. III, J. Algebra 320 (2008), no. 7, 2720–2826. S. S. Abhyankar, Inversion and invariance of characteristic terms: Part I, The Legacy of Alladi Ramakrishnan in the Mathematical Sciences, Springer-Verlag, New York, 2010, pp. 93–168. E. Artal-Bartolo, Une démonstration géométrique du théorème d'Abhyankar-Moh, J. Reine Angew. Math. 464 (1995), 97–108.
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