On glueing curves on surfaces and zero cycles

Hursit Önsiper

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1994)

  • Volume: 5, Issue: 1, page 5-9
  • ISSN: 1120-6330

Abstract

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The structure of the group H 2 X , K 2 of a surface X with prescribed singularities is investigated.

How to cite

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Önsiper, Hursit. "On glueing curves on surfaces and zero cycles." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 5.1 (1994): 5-9. <http://eudml.org/doc/244134>.

@article{Önsiper1994,
abstract = {The structure of the group \( H^\{2\} (X,K\_\{2\}) \) of a surface \( X \) with prescribed singularities is investigated.},
author = {Önsiper, Hursit},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Albanese variety; Algebraic group; Neron-Severi group; Lefschetz pencil; algebraic cycles; second cohomology group of a surface with prescribed singularities; curves on surfaces; effective divisor; 1- motive; periods},
language = {eng},
month = {3},
number = {1},
pages = {5-9},
publisher = {Accademia Nazionale dei Lincei},
title = {On glueing curves on surfaces and zero cycles},
url = {http://eudml.org/doc/244134},
volume = {5},
year = {1994},
}

TY - JOUR
AU - Önsiper, Hursit
TI - On glueing curves on surfaces and zero cycles
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1994/3//
PB - Accademia Nazionale dei Lincei
VL - 5
IS - 1
SP - 5
EP - 9
AB - The structure of the group \( H^{2} (X,K_{2}) \) of a surface \( X \) with prescribed singularities is investigated.
LA - eng
KW - Albanese variety; Algebraic group; Neron-Severi group; Lefschetz pencil; algebraic cycles; second cohomology group of a surface with prescribed singularities; curves on surfaces; effective divisor; 1- motive; periods
UR - http://eudml.org/doc/244134
ER -

References

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  1. FALTINGS, G. - WÜSTHOLZ, G., Eienbettungen kommutativer algehraischer Gruppen und einige ihrer Eigenschaften. J. Reine Angew. Math., 354, 1984, 175-205. Zbl0543.14029MR767579DOI10.1515/crll.1984.354.175
  2. GILLET, H., On the K-theory of surfaces with multiple curves and a conjecture of Bloch. Duke Math. J., 51, n. 1, 1984, 195-233. Zbl0557.14003MR744295DOI10.1215/S0012-7094-84-05111-1
  3. KATO, K. - SATTO, S., Two dimensional class field theory. Adv. Studies in Pure Math., 2, 1983, 103-152. Zbl0544.12011MR732466
  4. LEVINE, M., Block's formula for singular surfaces. Topology, 24, 1985, 165-174. Zbl0598.14009MR793182DOI10.1016/0040-9383(85)90053-9
  5. ÖNSIPER, H., On generalized albanese varieties for surfaces. Math. Proc. Cambridge Phil. Soc., 104, 1988, 1-6; Corrigendum, Math. Proc. Camb. Phil. Soc, 107, 1990, 415. Zbl0705.14012MR938447DOI10.1017/S0305004100065191

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