Papers of Evelia Rosa García Barroso

  1. E.R. García Barroso-A. Płoski. A formula for the degree of singularity of plane algebroid curves. Banach Center Publications 128 (2024), 45-57.

  2. A. Bodin-E.R. García Barroso-P. Popescu-Pampu-M.S. Sorea. Combinatorial study of morsifications of real univariate singularities. Mathematische Nachrichten (2024). In press.

  3. E.R. García Barroso-A. Płoski. A note on the plane curve singularities in positive characteristic. Bull. Math. Soc. Sci. Math. Roumanie, Tome 67 (115), no. 3, 2024, 375-386.

  4. E.R. García Barroso-J. Gwoździewicz, An explicit deformation of a plane branch with constant δ-invariant. J. Pure Appl. Algebra Volume 228, Issue 9, 2024, 107684. doi: 10.1016/j.jpaa.2024.107684.

  5. E.R. García Barroso-J.I. García-García-L.J. Santana Sánchez-A. Vigneron-Tenorio, On p-Frobenius of Affine Semigroups. Mediterr. J. Math. 21, 90 (2024). Doi: 10.1007/s00009-024-02625-0

  6. A. Fernández-Pérez-E.R. García Barroso-N.E. Saravia-Molina, On Briançon-Skoda theorem for foliations. Expositiones Mathematicae 41 (2023) 125512 (13 pages). doi: 10.1016/j.exmath.2023.07.001

  7. E.R. García Barroso-I. García-Marco-I. Márquez-Corbella, Factorizations of the same length in abelian monoids. Ricerche di Matematica 72, 679-707 (2023). doi: 10.1007/s11587-021-00562-8.

  8. E.R. García Barroso-M.E. Hernandes-M. F. Hernández Iglesias, Weierstrass 1-forms and nondicritical generalized curve foliations. International Journal of Mathematics, 34 (6) (2023), 2350028 (20 pages).

  9. E.R. García Barroso-J.I. García-García-L.J. Santana Sánchez-A. Vigneron-Tenorio, Conductors of Abhyankar-Moh semigroups of even degrees. Electronic Research Archive, 2023, 31(4): 2213-2229. doi: 10.3934/era.2023113.

  10. P. Fernández-Sánchez-E.R. García Barroso-N. Saravia-Molina, On the Approximate Polar Curves of Foliations. Mathematics. 2023, 11(3), 613. https://doi.org/10.3390/math11030613.

  11. E.R. García Barroso-A. Płoski, On Lê's formula in arbitrary characteristic. Analytic and Algebraic Geometry, 4. T. Krasiński, Stanisław Spodzieja (Eds.) Łódź University Press (2022), 61-66. https://doi.org/10.18778/8331-092-3.05

  12. P. Fernández-Sánchez-E.R. García Barroso-N. Saravia-Molina, A remark on the Tjurina and Milnor. Pro Mathematica, XXXII, 63 (2022), 11-22.

  13. E.R. García Barroso-M. F. Hernández Iglesias, Topological type of discriminants of some special families. Periodica Mathematica Hungarica 84, 321-345 (2022). https://doi.org/10.1007/s10998-021-00410-0

  14. P. Fernández-Sánchez-E.R. García Barroso-N. Saravia-Molina, Characterization of second type plane foliations using Newton polygons. An. St. Univ. Ovidius Constanta, Ser. Mat. 30 (2), 2022, 103-123. doi: 10.2478/auom-2022-0021

  15. E.R. García Barroso-J. Gwoździewicz, Higher order polars of quasi-ordinary singularities. International Mathematics Research Notices 2022 (2) (2022), 1045-1080. https://doi.org/10.1093/imrn/rnaa106

  16. E.R. García Barroso-J.I. García-García-A. Vigneron-Tenorio, Generalized strongly increasing semigroups. Mathematics 2021, 9, 1370. https://doi.org/10.3390/ math9121370.

  17. E.R. García Barroso-P.D. González Perez-P. Popescu-Pampu, The combinatorics of plane curve singularities. How Newton polygons blossom into lotuses. In Cisneros Molina J.L., Lê D.T., Seade J. (eds) Handbook of Geometry and Topology of Singularities I, Springer, 2020, 1-150. https://doi.org/10.1007/978-3-030-53061-7_1

  18. E.R. García Barroso-P. González Pérez-P. Popescu-Pampu-M. Ruggiero, Ultrametric properties for valuation spaces of normal surface singularities. Trans. Amer. Math. Soc. 372 (2019), 8423-8475. https://doi.org/10.1090/tran/7854.

  19. E.R. García Barroso-A. Płoski. Contact exponent and Milnor number of plane curve singularities. Analytic and Algebraic Geometry, 3. T. Krasiński, Stanisław Spodzieja (Eds.) Łódź University Press (2019), 93-109. http://dx.doi.org/10.18778/8142-814-9.08

  20. E.R. García Barroso-P. González Pérez-P. Popescu-Pampu, The valuative tree is the projective limit of Eggers-Wall trees. RACSAM (2019) 113:4051-4105. https://doi.org/10.1007/s13398-019-00646-z.

  21. E.R. García Barroso-A. Płoski. A simplified proof of the Granja-Merle factorization theorem. Pro Mathematica, XXX, 60 (2019), 91-100.

  22. E.R. García Barroso-A. Płoski, On the intersection multiplicity of plane branches. Colloquium Mathematicum 156 (2019), 243-254. doi: 10.4064/cm7444-4-2018.

  23. E.R. García Barroso-A. Płoski, Polynomial automorphisms of the affine plane and singularities of algebraic curves. Revista de la Real Academia Canaria de Ciencias, Volume XXX (2018), 31-54.

  24. E.R. García Barroso-A. Płoski, On the Milnor formula in arbitrary characteristic. Singularities, Algebraic Geometry, Commutative Algebra and Related Topics. Festschrift for Antonio Campillo on the Occasion of his 65th Birthday. G.M. Greuel, L. Narvaéz and S. Xambó-Descamps eds. Springer, (2018), 119-133. doi: 10.1007/978-3-319-96827-8_5.

  25. E.R. García Barroso-P. González Pérez-P. Popescu-Pampu, Ultrametric spaces of branches on arborescent singularities. Singularities, Algebraic Geometry, Commutative Algebra and Related Topics. Festschrift for Antonio Campillo on the Occasion of his 65th Birthday. G.M. Greuel, L. Narvaéz and S. Xambó-Descamps eds. Springer, (2018), 55-106. doi: 10.1007/978-3-319-96827-8_3.

  26. E.R. García Barroso-P. González Pérez-P. Popescu-Pampu, Variations on inversion theorems for Newton-Puiseux series. Mathematische Annalen (2017) 368 (3-4), 1359-1397. doi: 10.1007/s00208-016-1503-1

  27. E.R. García Barroso-J. Gwoździewicz, Decompositions of the higher order polars of plane branches. Forum Mathematicum (2017) 29 (2), 357-367 doi: 10.1515/forum-2016-0049

  28. A.B. de Felipe-E.R. García Barroso-J. Gwoździewicz-A. Płoski, Łojasiewicz exponents and Farey sequences. Revista Matemática Complutense (2016) 29(3), 719-724. doi: 10.1007/s13163-016-0194-1.

  29. E.R. García Barroso-J. Gwoździewicz-A. Płoski, Semigroups corresponding to branches at infinity of coordinate lines in the affine plane. Semigroup Forum (2016) 92(3), 534-540. doi: 10.1007/s00233-015-9693-5.

  30. E.R. García Barroso-A. Płoski, The Milnor number of plane irreducible singularities in positive characteristic. Bulletin of the London Mathematical Society (2016) 48 (1): 94-98. doi: 10.1112/blms/bdv095.

  31. R.D. Barrolleta-E.R. García Barroso-A. Płoski, On the Abhyankar-Moh inequality. Universitatis Iagellonicae Acta Mathematica, LII (2015), 7-14. doi:10.4467/20843828AM.15.001.3727.

  32. E.R. García Barroso-J. Gwoździewicz-A. Lenarcik, Non-degeneracy of the discriminant. Acta Math. Hungar. Volume 147, Issue 1 (2015), 220-246. doi: 10.1007/s10474-015-0515-8.

  33. E.R. García Barroso-J. Gwoździewicz, Quasi-ordinary singularities: tree model, discriminant, and irreducibility. Int Math Res Notices. Volume 2015, Issue 14 (2015), 5783-5805. doi: 10.1093/imrn/rnu106.

  34. E.R. García Barroso-A. Płoski, An approach to plane algebroid branches. Revista Matemática Complutense, 28 (1) (2015), 227-252 . doi: 10.1007/s13163-014-0155-5.

  35. E.R. García Barroso-A. Płoski, Euclidean algorithm and polynomial equations after Labatie. Analytic and Algebraic Geometry. T. Krasiński, Stanisław Spodzieja (Eds.) Łódź University Press 2013, 41-49.

  36. E.R. García Barroso-J. Gwoździewicz, On the approximate jacobian Newton diagrams of an irreducible plane curve. J. Math. Soc. Japan, Vol 65, Number 1 (2013), 169-182. doi:10.2969/jmsj/06510169.

  37. E.R. García Barroso-J. Gwoździewicz, A discriminant criterion of irreducibility. Kodai Math. Journal, Volume 35, Number 2 (2012), 403-414. doi:10.2996/kmj/1341401060.

  38. E.R. García Barroso-J. Gwoździewicz, Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility. Annales de l'Institut Fourier, 60(2), (2010), 683-709. doi: 10.5802/aif.2536.

  39. E.R. García Barroso-A. Lenarcik-A. Płoski, Characterization of non-degenerate plane curve singularities. Proceedings of Effective methods in algebraic and analytic geometry, Effect 2006. Universitatis Iagellonicae Acta Mathematica, Fasciculus XLV, (2007) 27-36. Erratum to: Characterization of non-degenerate plane curve singularities. Universitatis Iagellonicae Acta Mathematica, Fasciculus XLVII, (2009) 321-322.

  40. E.R. García Barroso-A. Lenarcik-A. Płoski, Newton diagrams and equivalence of plane curve germs. Journal of Mathematical Society of Japan, 59(1), (2007) 81-96. doi:10.2969/jmsj/1180135501.

  41. E.R. García Barroso-B. Teissier, Newton polyhedra of discriminants: a computation. Singularities and computer algebra (on the occasion of G-M. Greuel's 60th birthday), London Math. Soc. Lecture Notes Series 324, (2006) 185-210. doi: 10.1017/CBO9780511526374.010.

  42. E.R. García Barroso-T. Krasiński-A. Płoski, On the Łojasiewicz numbers II. C.R. Acad. Sci. Paris, 341 Série I (2005) 357-360. doi: 10.1016/j.crma.2005.06.033.

  43. E.R. García Barroso-T. Krasiński-A. Płoski, The Łojasiewicz numbers and plane curve singularities. Volumen en memoria de Stanislaw Łojasiewicz. Annales Polonici Mathematici, 87 (2005) 127-150. doi: 10.4064/ap87-0-11.

  44. E.R. García Barroso-P. González Pérez, Decomposition in bunches of the critical locus of a quasi-ordinary map. Compositio Math. 141 (2005) 461-486. doi: 10.1112/s0010437x04001216.

  45. E.R. García Barroso, Invariants des singularités de courbes planes et courbure des fibres de Milnor. Servicio de Publicaciones de la ULL (2004) 216 páginas.

  46. E.R. García Barroso-A. Płoski, Pinceaux de courbes planes et invariants polaires. Annales Polonici Mathematici, 83.2(2004) 113-128. doi: 10.4064/ap83-2-3.

  47. E.R. García Barroso-A. Płoski, On the Łojasiewicz numbers. C.R. Acad. Sci. Paris, Ser. I 336 (2003) 585-588. doi:10.1016/s1631-073x(03)00105-5.

  48. E.R. García Barroso, Sur les courbes polaires d'une courbe plane réduite. Proc.London Math. Soc. (3) 81 (2000) 1-28. doi: 10.1112/S0024611500012430.

  49. E.R. García Barroso-B. Teissier, Concentration multi-échelles de courbure dans des fibres de Milnor. Comment. Math. Helv. 74(3) (1999) 398-418. doi: 10.1007/s000140050096.

  50. E.R. García Barroso, Un théorème de décomposition pour les polaires génériques d'une courbe plane. C.R. Acad. Sci. Paris, Ser. I 326 (1998) 59-62. doi: 10.1016/s0764-4442(97)82713-9.