Hodge cohomology on blow‐ups along subvarieties
Hodge cohomology on blow‐ups along subvarieties
Abstract We establish a blow‐up formula for Hodge cohomology of locally free sheaves on smooth proper varieties over an algebraically closed field of positive characteristic. For this, we introduce a notion of relative Hodge sheaves and study their behavior under blow‐ups along smooth centers. In particular, as an application, we …