A note on the first rigid cohomology group for geometrically unibranch varieties

Nobuo Tsuzuki

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We prove a vanishing of the first rigid cohomology group for geometrically unibranch varieties with supports in a proper closed subset and apply it to the full faithfulness problem of the restriction functors of overconvergent isocrystals. As an application, we prove that the first rigid cohomology group is pure of weight 1 for proper and geometrically unibranch varieties over a finite field. We also establish a comparison result of rigid cohomology groups between a geometrically unibranch variety and its normalization.

本文言語English
ページ(範囲)3
ページ数1
ジャーナルRendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
128
DOI
出版ステータスPublished - 2012

ASJC Scopus subject areas

  • 分析
  • 代数と数論
  • 数理物理学
  • 幾何学とトポロジー

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