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Discrete Equivalence of Non-positive at Infinity Plane Valuations

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Discrete Equivalence of Non-positive at Infinity Plane Valuations

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Galindo, C.; Monserrat Delpalillo, FJ.; Moreno-Ávila, CJ. (2021). Discrete Equivalence of Non-positive at Infinity Plane Valuations. Results in Mathematics. 76(3):1-16. https://doi.org/10.1007/s00025-021-01435-0

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Título: Discrete Equivalence of Non-positive at Infinity Plane Valuations
Autor: Galindo, Carlos Monserrat Delpalillo, Francisco José Moreno-Ávila, Carlos Jesús
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] Non-positive at infinity valuations are a class of real plane valuations which have a nice geometrical behavior. They are divided in three types. We study the dual graphs of non-positive at infinity valuations and ...[+]
Palabras clave: Non-positive at infinity valuations , Plane valuations , Singularities
Derechos de uso: Reserva de todos los derechos
Fuente:
Results in Mathematics. (issn: 1422-6383 )
DOI: 10.1007/s00025-021-01435-0
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s00025-021-01435-0
Código del Proyecto:
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096446-B-C22/ES/VALORACIONES, FOLIACIONES Y CODIGOS CORRECTORES DE ERRORES CUANTICOS/
info:eu-repo/grantAgreement/MINECO//BES-2016-076314/
info:eu-repo/grantAgreement/MICINN//RED2018-102583-T/
info:eu-repo/grantAgreement/GVA//AICO2019-223/
info:eu-repo/grantAgreement/UJI//UJI-B2018-10/
Agradecimientos:
Partially supported by the Spanish Government (MCI/AEI/FEDER, UE), Grants PGC2018-096446-B-C22, RED2018-102583-T and BES-2016-076314, as well as by Generalitat Valenciana, Grant AICO-2019-223 and Universitat Jaume I, Grant ...[+]
Tipo: Artículo

References

Abhyankar, S.: Local uniformization on algebraic surfaces over ground fields of characteristic $$p\ne 0$$. Ann. Math. 2(63), 491–526 (1956)

Campillo, A., Piltant, O., Reguera, A.: Curves and divisors on surfaces associated to plane curves with one place at infinity. Proc. Lond. Math. Soc. 84, 559–580 (2002)

Ciliberto, C., Farnik, M., Küronya, A., Lozovanu, V., Roé, J., Shramov, C.: Newton–Okounkov bodies sprouting on the valuative tree. Rend. Circ. Mat. Palermo 2(66), 161–194 (2017) [+]
Abhyankar, S.: Local uniformization on algebraic surfaces over ground fields of characteristic $$p\ne 0$$. Ann. Math. 2(63), 491–526 (1956)

Campillo, A., Piltant, O., Reguera, A.: Curves and divisors on surfaces associated to plane curves with one place at infinity. Proc. Lond. Math. Soc. 84, 559–580 (2002)

Ciliberto, C., Farnik, M., Küronya, A., Lozovanu, V., Roé, J., Shramov, C.: Newton–Okounkov bodies sprouting on the valuative tree. Rend. Circ. Mat. Palermo 2(66), 161–194 (2017)

Cutkosky, S.D., Ein, L., Lazarsfeld, R.: Positivity and complexity of ideal sheaves. Math. Ann. 321(2), 213–234 (2001)

Cutkosky, S.D., Vinh, P.A.: Valuation semigroups of two dimensional rings. Proc. Lond. Math. Soc. 108, 350–384 (2014)

Delgado, F., Galindo, C., Núñez, A.: Saturation for valuations on two-dimensional regular local rings. Math. Z. 234, 519–550 (2000)

Dumnicki, M., Harbourne, B., Küronya, A., Roé, J., Szemberg, T.: Very general monomial valuations of $${\mathbb{P}}^2$$ and a Nagata type conjecture. Commun. Anal. Geom. 25, 125–161 (2017)

Favre, C., Jonsson, M.: The Valuative Tree, volume 1853 of Lecture Notes in Mathematics Springer, Berlin (2004)

Favre, C., Jonsson, M.: Eigenvaluations. Ann. Sci. Éc. Norm. Sup. 40, 309–349 (2007)

Favre, C., Jonsson, M.: Dynamical compactifications of $${\mathbb{C}}^2$$. Ann. Math. 173, 211–248 (2011)

Galindo, C.: Plane valuations and their completions. Commun. Algebra 23(6), 2107–2123 (1995)

Galindo, C., Monserrat, F.: The cone of curves and the Cox ring of rational surfaces given by divisorial valuations. Adv. Math. 290, 1040–1061 (2016)

Galindo, C., Monserrat, F., Moreno-Ávila, C.-J.: Seshadri-type constants and Newton–Okounkov bodies for non-positive at infinity divisorial valuations of Hirzebruch surfaces (2019). arXiv:1905.03531

Galindo, C., Monserrat, F., Moreno-Ávila, C.-J.: Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces. Rev. Mat. Complut. 33, 349–372 (2020)

Galindo, C., Monserrat, F., Moyano-Fernández, J.: Minimal plane valuations. J. Algebraic Geom. 27, 751–783 (2018)

Galindo, C., Monserrat, F., Moyano-Fernández, J., Nickel, M.: Newton–Okounkov bodies of exceptional curve valuations. Rev. Mat. Iberoam. 36(7), 2147–2182 (2020)

Herrera-Govantes, F.J., Olalla-Acosta, M.A., Spivakovsky, M., Teissier, B.: Extending a valuation centered in a local domain to the formal completion. Proc. Lond. Math. Soc. 105, 571–621 (2012)

Jonsson, M.: Dynamics of Berkovich Spaces in Low Dimensions, Cambridge Tracts in Mathematics. Springer (2015)

Kaveh, K., Khovanskii, A.: Newton–Okounkov bodies, semigroups of integral points, graded algebras and intersection theory. Ann. Math. 176, 925–978 (2012)

Mondal, P.: How to determine the sign of a valuation on $$\mathbb{C}[x, y]$$. Mich. Math. J. 66, 227–244 (2017)

Novakoski, J., Spivakovsky, M.: Key polynomials and pseudo-convergent sequences. J. Algebra 495, 199–219 (2018)

Okounkov, A.: Why would multiplicities be log-concave? In: The Orbit Method in Geometry and Physics (Marseille, 2000), volume 213 of Programming Mathematical, pp. 329–347. Birkhäuser, Boston (2003)

Spivakovsky, M.: Valuations in function fields of surfaces. Am. J. Math. 112, 107–156 (1990)

Teissier, B.: Valuations, deformations, and toric geometry. In: Valuation Theory and Its Applications, II (Saskatoon, SK, 1999), volume 33 of Fields Institute Communications, pp. 361–459. American Mathematical Society, Providence (2003)

Teissier, B., Overweight deformations of affine toric varieties and local uniformization. In: Valuation Theory in Interaction, EMS Ser. Congr. Rep. Eur. Math. Soc., Zurich (2014)

Zariski, O.: Local uniformization on algebraic varieties. Ann. Math. 2(41), 852–896 (1940)

Zariski, O., Samuel, P.: Commutative Algebra II. Vol. II. Graduate Texts in Mathematics, vol. 29 (1975)

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