REGULAR FUNCTIONS TRANSVERSAL AT INFINITY

• DIMCA ALEXANDRU

  Laboratoire J.A. Dieudonné, UMR du CNRS 6621, Université de Nice-Sophia-Antipolis

• LIBGOBER ANATOLY

  Department of Mathematics, University of Illinois at Chicago

抄録

We generalize and complete some of Maxim's recent results on Alexander invariants of a polynomial transversal to the hyperplane at infinity. Roughly speaking, and surprisingly, such a polynomial behaves, both topologically and algebraically (e.g., in terms of the variation of MHS on the cohomology of its smooth fibers), like a homogeneous polynomial.

収録刊行物

• Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ

  Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ 58 (4), 549-564, 2006

  東北大学大学院理学研究科数学専攻

キーワード

• Hypersurface complement
• Alexander polynomials
• local system
• Milnor fiber
• perverse sheaves
• mixed Hodge structure

詳細情報

• CRID: 1390001205115868288
• NII論文ID: 110004860524
• NII書誌ID: AA00863953
• DOI: 10.2748/tmj/1170347689
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 2297199
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可