An explicit deformation of a plane branch with constant δ-invariant
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García Barroso, Evelia R.
1
- Gwoździewicz, Janusz
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1
Universidad de La Laguna
info
ISSN: 0022-4049
Año de publicación: 2024
Volumen: 228
Número: 9
Páginas: 107684
Tipo: Artículo
Otras publicaciones en: Journal of Pure and Applied Algebra
Resumen
We construct an explicit deformation of a plane branch with constant δ-invariant, where δ denotes the double point number of the singularity. The generic fibers of the deformation are the union of two irreducible curves. Our construction works over algebraically closed fields of arbitrary characteristic.
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Referencias bibliográficas
- Arnold, (2004)
- Bodin, (2007), Bull. Braz. Math. Soc. New Ser., 38, pp. 389, 10.1007/s00574-007-0051-4
- Boubakri, (2012), Rev. Mat. Complut., 25, pp. 61, 10.1007/s13163-010-0056-1
- Brieskorn, (1986)
- Campillo, (2007), Compos. Math., 143, pp. 829, 10.1112/S0010437X07002953
- Deligne, (1973), vol. 340, pp. 197
- García Barroso, (1996)
- García Barroso, (2015), Rev. Mat. Complut., 28, pp. 227, 10.1007/s13163-014-0155-5
- García Barroso, (2018), pp. 119
- Greuel, (2007)
- Gusein-Zade, (1993), Funct. Anal. Appl., 27, pp. 57, 10.1007/BF01768670
- Lenarcik, (2022), pp. 95
- Maugendre, (1998), Ann. Fac. Sci. Toulouse 6e série, 7, pp. 497, 10.5802/afst.908
- Melle-Hernández, (2001), Proc. Lond. Math. Soc., III Ser., 83, pp. 257, 10.1112/plms/83.2.257
- Pfister, (2022), vol. 4, pp. 134