대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제54권5호
  • /
  • Pages.1699-1718
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  • 2017
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SECOND CHERN NUMBERS OF VECTOR BUNDLES AND HIGHER ADELES

  • Osipov, Denis V. (Steklov Mathematical Institute of Russsian Academy of Sciences)
  • 투고 : 2016.08.17
  • 심사 : 2016.12.02
  • 발행 : 2017.09.30
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초록

We give a construction of the second Chern number of a vector bundle over a smooth projective surface by means of adelic transition matrices for the vector bundle. The construction does not use an algebraic K-theory and depends on the canonical ${\mathbb{Z}}-torsor$ of a locally linearly compact k-vector space. Analogs of certain auxiliary results for the case of an arithmetic surface are also discussed.

키워드

과제정보

연구 과제 주관 기관 : Russian Science Foundation

참고문헌

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