Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday PDF
Preview Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday
Gert-Martin Greuel Luis Narváez Macarro Sebastià Xambó-Descamps E ditors Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics Festschrift for Antonio Campillo on the Occasion of his 65th Birthday Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics Gert-Martin Greuel • Luis Narváez Macarro (cid:129) ` Sebastia Xambó-Descamps Editors Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics Festschrift for Antonio Campillo on the Occasion of his 65th Birthday 123 Editors Gert-MartinGreuel LuisNarváezMacarro FachbereichMathematik DepartamentodeÁlgebra Universita¨tKaiserslautern InstitutodeMatemáticas(IMUS) Kaiserslautern,Germany UniversidaddeSevilla Sevilla,Spain Sebastia`Xambó-Descamps DepartamentdeMatema`tiques UniversitatPolite`cnicadeCatalunya Barcelona,Spain ISBN978-3-319-96826-1 ISBN978-3-319-96827-8 (eBook) https://doi.org/10.1007/978-3-319-96827-8 LibraryofCongressControlNumber:2018955477 MathematicsSubjectClassification(2010):14-XX,32SXX,11AXX,13PXX,19DXX,37FXX,51EXX, 94BXX ©SpringerNatureSwitzerlandAG2018 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthorsandtheeditorsaresafetoassumethattheadviceandinformationinthisbook arebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional claimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Preface The decision to prepare a volume of contributions in honor of Antonio Campillo was taken at the University of Valladolid (Spain) during 19–23 June 2017 on the occasion of the 4th Joint Congress of the Spanish and Mexican Mathematical Societies. The Congress paid homage to Campillo by including two plenary lectures to presenthiscontributionstomathematicsandhisserviceandleadershipinavariety ofinstitutions,twospecialsessionsonSingularitiesandAlgebraicGeometry,anda specialscientificdaytocelebratemorecloselyhismathematicalwork. Theannouncementofthisbookprojectwassenttothelistofallparticipantsat theCongressenlargedwiththenamesofothercolleagueswithwhomCampillohas hadsignificantinteractionsinhisprofessionalcareer. This volume collects the refereed papers that were submitted following that announcement.After the openingarticle, which is meant to be a first approachto Campillo’sbiography,we havegroupedthepapersinfivecategories:Singularities (ten papers), Algebraic Geometry (five), Commutative Algebra (five), Algebraic Codes(three),and OtherTopics(three).The varietyof topicscorrelateswellwith theverybroadresearchinterestsofAntonioCampillo. Thegroupingisofcourseimperfect,assomepaperswouldeasilyfitinmorethan onecategory,butwehopethattheclassificationrespectsneverthelessthemainarea inwhicheachpaperisascribed.Withineachcategory,papersthatexplicitlyconnect with publishedworkof Campillo are placedfirst, andthese, as well as the others, areorderedalphabeticallybythefamilynameofthefirstauthor. We are most grateful to all the authors (two per paper on average) for their positive response, their patience with the long refereeing process, and above all, for their scientific contribution to the volume. Thanks also to the generosity and keenjudgmentsofthemanyanonymousreferees. Going back to the beginning, we are thankful to the Mexican and Spanish mathematicalsocieties for having embraced the idea of paying tribute to Antonio Campillo on the occasion of their 4th joint meeting, and to the University of Valladolid, in particular to its Mathematical Institute (IMUVA), for providing excellentorganizationforallactivitiesinthatweek. v vi Preface AntonioCampillohasbeenourcolleagueandfriendformanyyears,inavariety of circumstances, and it is a pleasantduty to expressour acknowledgmentto him for his productive career, his dedication to causes that promote the welfare of institutionsand professionalcommunities,his vision regardingacademicprogress and research organization, his engagement in increasing public awareness of mathematics,andofcourseforallhisachievementsinmathematics. We wish you, Antonio, a most happy 65th birthday and that your career may continue to be, for many years to come, as productive and inspirational as it has beenhitherto. Kaiserslautern,Germany Gert-MartinGreuel Sevilla,Spain LuisNarváezMacarro Barcelona,Spain SebastiàXambó-Descamps Contents AntonioCampillo ................................................................ 1 FranciscoMonserratandSebastiàXambó-Descamps Singularities in Positive Characteristic: Equisingularity, Classification,Determinacy..................................................... 37 Gert-MartinGreuel UltrametricSpacesofBranchesonArborescentSingularities.............. 55 Evelia R. García Barroso, Pedro D. González Pérez, andPatrickPopescu-Pampu TwoPointsoftheBoundaryofToricGeometry.............................. 107 BernardTeissier OntheMilnorFormulainArbitraryCharacteristic ........................ 119 EveliaR.GarcíaBarrosoandArkadiuszPłoski Foliations in the Plane Uniquely Determined by Minimal SubschemesofitsSingularities................................................. 135 JorgeOlivares NewtonTransformationsandtheMotivicMilnorFiberofaPlane Curve .............................................................................. 145 PierretteCassou-NoguèsandMichelRaibaut NashModificationonToricCurves............................................ 191 DanielDuarteandDanielGreenTripp ARecursiveFormulafortheMotivicMilnorFiberofaPlaneCurve ..... 203 ManuelGonzálezVilla,GaryKennedy,andLeeJ.McEwan OnHasse–SchmidtDerivations:TheActionofSubstitutionMaps ........ 219 LuisNarváezMacarro AnIntroductiontoResolutionofSingularitiesviatheMultiplicity........ 263 DiegoSulcaandOrlandoVillamayorU. vii viii Contents PlatonicSurfaces................................................................. 319 Brenda Leticia De La Rosa-Navarro, Gioia Failla, Juan Bosco Frías-Medina,MustaphaLahyane,andRosannaUtano CoveringsofRationalRuledNormalSurfaces ............................... 343 Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín, andJorgeMartín-Morales UlrichBundlesonVeroneseSurfaces.......................................... 375 LauraCostaandRosaMariaMiró-Roig MultipleStructuresonSmoothonSingularVarieties ....................... 383 M.R.Gonzalez-Dorrego Smoothness in Some Varieties with Dihedral Symmetry andtheDFTMatrix ............................................................. 391 SantiagoLópezdeMedrano TheGreedyAlgorithmandtheCohen-MacaulayPropertyofRings, GraphsandToricProjectiveCurves........................................... 411 ArgimiroArratia BinomialIdealsandCongruencesonNn ...................................... 429 LauraFeliciaMatusevichandIgnacioOjeda The K-TheoryofToricSchemesOverRegularRingsofMixed Characteristic..................................................................... 455 G.Cortiñas,C.Haesemeyer,M.E.Walker,andC.A.Weibel OnFiniteandNonfiniteGenerationofAssociatedGradedRingsof AbhyankarValuations........................................................... 481 StevenDaleCutkosky Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-WeightedDigraphs...................................................... 491 PhilippeGimenez,JoséMartínez-Bernal,AronSimis,RafaelH.Villarreal, andCarlosE.Vivares AsymptoticsofReducedAlgebraicCurvesOverFiniteFields.............. 511 J.I.Farrán ThePoincaréPolynomialofaLinearCode ................................... 525 Carlos Galindo, Fernando Hernando, Francisco Monserrat, andRuudPellikaan TheMetricStructureofLinearCodes......................................... 537 DiegoRuano OnSomePropertiesofAInheritedbyCb(X,A)............................. 563 AlejandraGarcía,LourdesPalacios,andCarlosSignoret Contents ix AFractionalPartialDifferentialEquationforThetaFunctions............ 579 RafaelG.Campos OnContinuedFractions......................................................... 593 GerardoGonzalezSprinberg Contributors Argimiro Arratia Department of Computer Science and Barcelona Graduate SchoolofMathematics,UniversitatPolitècnicadeCatalunya,Barcelona,Spain Enrique Artal Bartolo Departamento de Matemáticas, IUMA, Universidad de Zaragoza,Zaragoza,Spain RafaelG.Campos DivisióndeCienciaseIngeniería,DepartamentodeCiencias, UniversidaddeQuintanaRoo,Chetumal,México PierretteCassou-Noguès Institut de Mathématiquesde Bordeaux,(UMR 5251), UniversitédeBordeaux,TalenceCedex,France JoséIgnacioCogolludo-Agustín DepartamentodeMatemáticas,IUMA,Univer- sidaddeZaragoza,Zaragoza,Spain G. Cortiñas Department of Matemática-Inst. Santaló, FCEyN, Universidad de BuenosAires,BuenosAires,Argentina Laura Costa Departament de Matemàtiques i Informàtica, Facultat de Matemà- tiquesiInformàtica,Barcelona,Spain Steven Dale Cutkosky Department of Mathematics, University of Missouri, Columbia,MO,USA Daniel Duarte CONACYT, Universidad Autónoma de Zacatecas, Zacatecas, Mexico GioiaFailla UniversitàMediterraneadiReggioCalabria,DIIES,ReggioCalabria, Italy J.I.Farrán UniversidaddeValladolid,Valladolid,Spain xi
The list of books you might like
