AbstractLet X be a projective scheme over a field. We show that the vanishing cohomology of any sequence of coherent sheaves is closely related to vanishing under pullbacks by the Frobenius morphism. We also compare various definitions of ample locally free sheaf and show that the vanishing given by the Frobenius morphism is, in a certain sense, the strongest possible. Our work can be viewed as various generalizations of the Serre Vanishing Theorem
We use Cox\u27s description for sheaves on toric varieties and results about local cohomology with r...
X. For L ample the Kodaira Vanishing Theorem says that H i(X,L−1) = 0, for i < dimX. Recall that...
In this paper, we prove the irreducibility of the monodromy action on the anti-invariant part of the...
AbstractLet X be a projective scheme over a field. We show that the vanishing cohomology of any sequ...
AbstractLet X be a scheme, proper over a commutative Noetherian ring A. We introduce the concept of ...
22 pages, final versionInternational audienceWe study the vanishing cycles of a one-parameter smooth...
Abstract. The author continues the study of Frobenius amplitude, introduced in an earlier paper, and...
Let X be a projective scheme of dimension n over a an algebraically closed field k and let OX denote ...
In this work we will answer, to some degree, the question: What happens to étale cohomology above th...
Abstract. Let X be a smooth variety over an algebraically closed field k of characteristic p, and F:...
We present a generalization of Takegoshi’s relative version of the Grauert–Riemenschneider vanishing...
In this article, the author studies the vanishing of cohomologies of smooth varieties over a field o...
We provide bounds on the Castelnuovo-Mumford regularity in terms of ``defining equations'' by using ...
For a simplicial subdivison # of a region in k (k algebraically closed) and r N, there is a ref...
Let X be a scheme of finite type over a noetherian ring A. Given a line bundle L on X, recall the no...
We use Cox\u27s description for sheaves on toric varieties and results about local cohomology with r...
X. For L ample the Kodaira Vanishing Theorem says that H i(X,L−1) = 0, for i < dimX. Recall that...
In this paper, we prove the irreducibility of the monodromy action on the anti-invariant part of the...
AbstractLet X be a projective scheme over a field. We show that the vanishing cohomology of any sequ...
AbstractLet X be a scheme, proper over a commutative Noetherian ring A. We introduce the concept of ...
22 pages, final versionInternational audienceWe study the vanishing cycles of a one-parameter smooth...
Abstract. The author continues the study of Frobenius amplitude, introduced in an earlier paper, and...
Let X be a projective scheme of dimension n over a an algebraically closed field k and let OX denote ...
In this work we will answer, to some degree, the question: What happens to étale cohomology above th...
Abstract. Let X be a smooth variety over an algebraically closed field k of characteristic p, and F:...
We present a generalization of Takegoshi’s relative version of the Grauert–Riemenschneider vanishing...
In this article, the author studies the vanishing of cohomologies of smooth varieties over a field o...
We provide bounds on the Castelnuovo-Mumford regularity in terms of ``defining equations'' by using ...
For a simplicial subdivison # of a region in k (k algebraically closed) and r N, there is a ref...
Let X be a scheme of finite type over a noetherian ring A. Given a line bundle L on X, recall the no...
We use Cox\u27s description for sheaves on toric varieties and results about local cohomology with r...
X. For L ample the Kodaira Vanishing Theorem says that H i(X,L−1) = 0, for i < dimX. Recall that...
In this paper, we prove the irreducibility of the monodromy action on the anti-invariant part of the...
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