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Polynomials and Vanishing Cycles

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Title: Polynomials and Vanishing Cycles
Description: The behaviour of vanishing cycles is the cornerstone for understanding the geometry and topology of families of hypersurfaces, usually regarded as singular fibrations. This self-contained tract proposes a systematic geometro-topological approach to vanishing cycles, especially those appearing in non-proper fibrations, such as the fibration defined by a polynomial function. Topics which have been the object of active research over the past 15 years, such as holomorphic germs, polynomial functions, and Lefschetz pencils on quasi-projective spaces, are here shown in a new light: conceived as aspects of a single theory with vanishing cycles at its core. Throughout the book the author presents the current state of the art. Transparent proofs are provided so that non-specialists can use this book as an introduction, but all researchers and graduate students working in differential and algebraic topology, algebraic geometry, and singularity theory will find this book of great use.
Authors: Mihai Tibăr
Resource Type: eBook.
Subjects: Hypersurfaces, Singularities (Mathematics), Polynomials, Algebraic cycles, Vanishing theorems
Categories: MATHEMATICS / Algebra / Elementary
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 198874
RelevancyScore: 1012
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1011.53295898438
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Polynomials and Vanishing Cycles
– Name: Abstract
  Label: Description
  Group: Ab
  Data: The behaviour of vanishing cycles is the cornerstone for understanding the geometry and topology of families of hypersurfaces, usually regarded as singular fibrations. This self-contained tract proposes a systematic geometro-topological approach to vanishing cycles, especially those appearing in non-proper fibrations, such as the fibration defined by a polynomial function. Topics which have been the object of active research over the past 15 years, such as holomorphic germs, polynomial functions, and Lefschetz pencils on quasi-projective spaces, are here shown in a new light: conceived as aspects of a single theory with vanishing cycles at its core. Throughout the book the author presents the current state of the art. Transparent proofs are provided so that non-specialists can use this book as an introduction, but all researchers and graduate students working in differential and algebraic topology, algebraic geometry, and singularity theory will find this book of great use.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Mihai+Tibăr%22">Mihai Tibăr</searchLink>
– Name: TypePub
  Label: Resource Type
  Group: TypPub
  Data: eBook.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Hypersurfaces%22">Hypersurfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Singularities+%28Mathematics%29%22">Singularities (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+cycles%22">Algebraic cycles</searchLink><br /><searchLink fieldCode="DE" term="%22Vanishing+theorems%22">Vanishing theorems</searchLink>
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  Group: Su
  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Elementary%22">MATHEMATICS / Algebra / Elementary</searchLink>
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=198874
RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.9422
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Hypersurfaces
        Type: general
      – SubjectFull: Singularities (Mathematics)
        Type: general
      – SubjectFull: Polynomials
        Type: general
      – SubjectFull: Algebraic cycles
        Type: general
      – SubjectFull: Vanishing theorems
        Type: general
    Titles:
      – TitleFull: Polynomials and Vanishing Cycles
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Mihai Tibăr
      – PersonEntity:
          Name:
            NameFull: Mihai Tibăr
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2007
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521829205
            – Type: isbn-electronic
              Value: 9780511286643
          Numbering:
            – Type: volume
              Value: 00170
          Titles:
            – TitleFull: Polynomials and Vanishing Cycles
              Type: main
ResultId 1