Cohomological Chow Groups of codimension one of varieties with isolated singularities

Fuente: arXiv
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Autor principal: López-Cruz, Diosel
Formato: Preprint
Publicado: 2026
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author López-Cruz, Diosel
author_facet López-Cruz, Diosel
contents We compute some particular examples of cohomological Chow groups for varieties with isolated singularities. For higher-dimensional varieties, we compute the cohomological Chow groups of codimension one, provided that the dual complex associated to the normal crossing divisor is contractible. For 3-dimensional varieties, we consider a weaker condition on the dual complex, namely $H^{2}(Γ(E))=0$.
format Preprint
id arxiv_https___arxiv_org_abs_2603_03636
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Cohomological Chow Groups of codimension one of varieties with isolated singularities
López-Cruz, Diosel
Algebraic Geometry
14C25, 14F42, 14F43
We compute some particular examples of cohomological Chow groups for varieties with isolated singularities. For higher-dimensional varieties, we compute the cohomological Chow groups of codimension one, provided that the dual complex associated to the normal crossing divisor is contractible. For 3-dimensional varieties, we consider a weaker condition on the dual complex, namely $H^{2}(Γ(E))=0$.
title Cohomological Chow Groups of codimension one of varieties with isolated singularities
topic Algebraic Geometry
14C25, 14F42, 14F43
url https://arxiv.org/abs/2603.03636