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Singularities, algebraic geometry, commutative algebra, and related topics. Festschrift for Antonio Campillo on the occasion of his 65th birthday, University of Valladolid, Spain, June 19–23, 2017. (English) Zbl 1401.14005

Cham: Springer (ISBN 978-3-319-96826-1/hbk; 978-3-319-96827-8/ebook). xvi, 604 p. (2018).

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Publisher’s description: This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians’ networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday.
Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.
The articles of this volume will be reviewed individually.
Indexed articles:
Monserrat, Francisco; Xambó-Descamps, Sebastià, Antonio Campillo. A portrayal of his life and work, 1-36 [Zbl 1405.14001]
Greuel, Gert-Martin, Singularities in positive characteristic: equisingularity, classification, determinacy, 37-53 [Zbl 1405.14006]
García Barroso, Evelia R.; González Pérez, Pedro D.; Popescu-Pampu, Patrick, Ultrametric spaces of branches on arborescent singularities, 55-106 [Zbl 1412.32021]
Teissier, Bernard, Two points of the boundary of toric geometry, 107-117 [Zbl 1405.14123]
García Barroso, Evelia R.; Płoski, Arkadiusz, On the Milnor formula in arbitrary characteristic, 119-133 [Zbl 1405.14071]
Olivares, Jorge, Foliations in the plane uniquely determined by minimal subschemes of its singularities, 135-143 [Zbl 1405.32050]
Cassou-Noguès, Pierrette; Raibaut, Michel, Newton transformations and the motivic Milnor fiber of a plane curve, 145-189 [Zbl 1404.14008]
Duarte, Daniel; Tripp, Daniel Green, Nash modification on toric curves, 191-202 [Zbl 1405.14041]
González Villa, Manuel; Kennedy, Gary; McEwan, Lee J., A recursive formula for the motivic Milnor fiber of a plane curve, 203-218 [Zbl 1405.14072]
Narváez Macarro, Luis, On Hasse-Schmidt derivations: the action of substitution maps, 219-262 [Zbl 1405.13048]
Sulca, Diego; Villamayor U., Orlando, An introduction to resolution of singularities via the multiplicity, 263-317 [Zbl 1405.14042]
De La Rosa-Navarro, Brenda Leticia; Failla, Gioia; Frías-Medina, Juan Bosco; Lahyane, Mustapha; Utano, Rosanna, Platonic surfaces, 319-342 [Zbl 1405.14090]
Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; Martín-Morales, Jorge, Coverings of rational ruled normal surfaces, 343-373 [Zbl 1404.14041]
Costa, Laura; Miró-Roig, Rosa Maria, Ulrich bundles on Veronese surfaces, 375-381 [Zbl 1405.14111]
Gonzalez-Dorrego, M. R., Multiple structures on smooth on singular varieties, 383-389 [Zbl 1405.14086]
López de Medrano, Santiago, Smoothness in some varieties with dihedral symmetry and the DFT matrix, 391-409 [Zbl 1405.58018]
Arratia, Argimiro, The greedy algorithm and the Cohen-Macaulay property of rings, graphs and toric projective curves, 411-428 [Zbl 1405.14136]
Matusevich, Laura Felicia; Ojeda, Ignacio, Binomial ideals and congruences on \(\mathbb {N}^n\), 429-454 [Zbl 1404.13024]
Cortiñas, G.; Haesemeyer, C.; Walker, M. E.; Weibel, C. A., The \(K\)-theory of toric schemes over regular rings of mixed characteristic, 455-479 [Zbl 1405.14024]
Cutkosky, Steven Dale, On finite and nonfinite generation of associated graded rings of Abhyankar valuations, 481-490 [Zbl 1405.13002]
Gimenez, Philippe; Martínez-Bernal, José; Simis, Aron; Villarreal, Rafael H.; Vivares, Carlos E., Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs, 491-510 [Zbl 1405.13041]
Farrán, J. I., Asymptotics of reduced algebraic curves over finite fields, 511-523 [Zbl 1425.14020]
Galindo, Carlos; Hernando, Fernando; Monserrat, Francisco; Pellikaan, Ruud, The Poincaré polynomial of a linear code, 525-535 [Zbl 1405.13030]
Ruano, Diego, The metric structure of linear codes, 537-561 [Zbl 1405.94112]
García, Alejandra; Palacios, Lourdes; Signoret, Carlos, On some properties of \(A\) inherited by \(C_b(X,A)\), 563-578 [Zbl 1414.46031]
Campos, Rafael G., A fractional partial differential equation for theta functions, 579-591 [Zbl 1406.35460]
Gonzalez Sprinberg, Gerardo, On continued fractions, 593-604 [Zbl 1423.11024]

MSC:

14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry
14Bxx Local theory in algebraic geometry
13-06 Proceedings, conferences, collections, etc. pertaining to commutative algebra
32-06 Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces
00B30 Festschriften

Biographic References:

Campillo, Antonio
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