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Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1

Collection Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1

Organizer(s) Fantini, Lorenzo ; Pełka, Tomasz ; Pichon, Anne ; Rond, Guillaume
Date(s) 27/01/2025 - 31/01/2025
linked URL https://conferences.cirm-math.fr/3267.html
00:00:00 / 00:00:00
2 20

A singular path through toric geometry

By Pedro Daniel Gonzalez Perez

I will speak about some of the aspects of the work of Bernard Teissier concerning singularities, toric geometry and valuations.

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Citation data

  • DOI 10.24350/CIRM.V.20293603
  • Cite this video Gonzalez Perez, Pedro Daniel (30/01/2025). A singular path through toric geometry. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20293603
  • URL https://dx.doi.org/10.24350/CIRM.V.20293603

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Bibliography

  • EISENBUD, David, LEVINE, Harold I., et TEISSIER, Bernard. An Algebraic Formula for the Degree of a C^∞ Map Germ/Sur une inégalité à la Minkowski pour les multiplicités. Annals of Mathematics, 1977, p. 19-44. - https://doi.org/10.2307/1971156
  • TEISSIER, Bernard. Two points of the boundary of toric geometry. Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday, 2018, p. 107-117. - https://doi.org/10.1007/978-3-319-96827-8_4
  • TEISSIER, Bernard. Overweight deformations of affine toric varieties and local uniformization IN CAMPILLO, Antonio, KUHLMANN, Franz-Viktor, et TEISSIER, Bernard. Valuation theory in interaction. 2014. p. 474-565 - https://doi.org/10.4171/149-1/23
  • TEISSIER, Bernard. Volumes des corps convexes; géométrie et algèbre. PERTHAME, Benoît, RAUCH, Jeffrey, EL KAROUI, Nicole, et al. Leçons de mathématiques d'aujourd'hui. Vol. 3. Cassini, 2007 p.239-268
  • GONZÁLEZ PÉREZ, Pedro D. et TEISSIER, Bernard. Toric geometry and the Semple–Nash modification. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2014, vol. 108, no 1, p. 1-48. - https://doi.org/10.1007/s13398-012-0096-0
  • TEISSIER, Bernard, and Mathematical Sciences Research Institute. 2004. “Monomial Ideals, Binomial Ideals, Polynomial Ideals.” In Trends in Commutative Algebra, Mathematical Sciences Research Institute Publications, eds. Luchezar L. Avramov et al. Cambridge: Cambridge University Press. chapter, 211–46. - https://doi.org/10.1017/CBO9780511756382.008
  • TEISSIER, Bernard; Valuations, deformations, and toric geometry. In Valuation theory and its applications volume II. Fields Institute Communications Series, 2003 p.361-459. - https://doi.org/10.1090/fic/033
  • PÉREZ, Pedro Daniel González et TEISSIER, Bernard. Embedded resolutions of non necessarily normal affine toric varieties. Comptes rendus. Mathématique, 2002, vol. 334, no 5, p. 379-382. - https://doi.org/10.1016/S1631-073X(02)02273-2
  • GOLDIN, Rebecca et TEISSIER, Bernard. Resolving singularities of plane analytic branches with one toric morphism. Resolution of Singularities: A research textbook in tribute to Oscar Zariski Based on the courses given at the Working Week in Obergurgl, Austria, September 7–14, 1997, 2000, p. 315-340. - https://doi.org/10.1007/978-3-0348-8399-3_12
  • TEISSIER, Bernard. Monomes, volumes et multiplicites, Introduction a la theorie des singularites, II. Travaux en Cours, 1988, vol. 37, p. 127-141.
  • TEISSIER, Bernard. Bonnesen-type inequalities in algebraic geometry. In YAU, Shing-Tung (ed.). Seminar on differential geometry. Princeton University Press, 1982.p.85-105
  • TEISSIER, Bernard .Varietes Toriques et Polytopes. In: Séminaire Bourbaki vol. 1980/81 Exposés (1981) 561–578. Lecture Notes in Mathematics, vol 901. Springer, Berlin, Heidelberg .p.71-84 - https://doi.org/10.1007/BFb0097190
  • TEISSIER, Bernard. Du théoreme de l'index de Hodge aux inégalités isopérimétriques. CR Acad. Sci. Paris Sér. AB, 1979, vol. 288, no 4, p. A287-A289.
  • TEISSIER, Bernard.. On a Minkowski-type inequality for multiplicities. II In RAMANUJAM, Chidambaran Padmanabhan. CP Ramanujam: a tribute., 1978. p.347-361 -

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