Add to ORKGIn this note, we prove the coherence of Frobenius stable direct images in a new case. We also show a generation theorem regarding to it. Furthermore, we prove a corresponding theorem in characteristic zero.Comment: 8 pages, v2: a statement on the multiplier ideal sheaf added to Theorem 1.
We show Poincar\'e Duality for $\mathbf{F}_p$-\'etale cohomology of a smooth proper rigid space over...
We prove, using $p$-adic Hodge theory for open algebraic varieties, that for a smooth projective var...
We present a method for constructing arithmetically Gorenstein subschemes of P^n of large codimensi...
Let π : X → X 0 be a projective morphism of schemes such that X 0 is noetherian and essentially of f...
AbstractLet X be a projective scheme over a field. We show that the vanishing cohomology of any sequ...
We introduce the notion of mixed-$\omega$-sheaves and use it for the study of a relative version of ...
International audienceLet X be a smooth projective curve of genus g >1 defined over an algebraically...
This dissertation explores the interplay between the Frobenius morphism and the geometry of algebrai...
We adapt ideas from Ekedahl [Eke84] to prove a Serre-type duality for Witt-divisorial sheaves of $\m...
Let $k$ be a perfect field of characteristic $p>0$, $\mathcal{V}$ a complete discrete valuation ring...
We study pairs of non-constant maps between two integral schemes of finite type over two (possibly d...
Let F be a coherent rank 2 sheaf on a scheme Y in P^n of dimension at least two. In this paper we st...
AbstractWe prove some finiteness theorems for the étale cohomology, Borel–Moore homology and cohomol...
On quadrics in large positive characteristic we construct an exceptional collection of sheaves from ...
AbstractWe give a proof of Artin's vanishing theorem in characteristic zero, based on Deligne's Riem...
We show Poincar\'e Duality for $\mathbf{F}_p$-\'etale cohomology of a smooth proper rigid space over...
We prove, using $p$-adic Hodge theory for open algebraic varieties, that for a smooth projective var...
We present a method for constructing arithmetically Gorenstein subschemes of P^n of large codimensi...
Let π : X → X 0 be a projective morphism of schemes such that X 0 is noetherian and essentially of f...
AbstractLet X be a projective scheme over a field. We show that the vanishing cohomology of any sequ...
We introduce the notion of mixed-$\omega$-sheaves and use it for the study of a relative version of ...
International audienceLet X be a smooth projective curve of genus g >1 defined over an algebraically...
This dissertation explores the interplay between the Frobenius morphism and the geometry of algebrai...
We adapt ideas from Ekedahl [Eke84] to prove a Serre-type duality for Witt-divisorial sheaves of $\m...
Let $k$ be a perfect field of characteristic $p>0$, $\mathcal{V}$ a complete discrete valuation ring...
We study pairs of non-constant maps between two integral schemes of finite type over two (possibly d...
Let F be a coherent rank 2 sheaf on a scheme Y in P^n of dimension at least two. In this paper we st...
AbstractWe prove some finiteness theorems for the étale cohomology, Borel–Moore homology and cohomol...
On quadrics in large positive characteristic we construct an exceptional collection of sheaves from ...
AbstractWe give a proof of Artin's vanishing theorem in characteristic zero, based on Deligne's Riem...
We show Poincar\'e Duality for $\mathbf{F}_p$-\'etale cohomology of a smooth proper rigid space over...
We prove, using $p$-adic Hodge theory for open algebraic varieties, that for a smooth projective var...
We present a method for constructing arithmetically Gorenstein subschemes of P^n of large codimensi...