AbstractWe show boundedness for PT-semistable objects of any Chern classes on a smooth projective three-fold X. Then we show that the stack of objects in the heart 〈Coh⩽1(X),Coh⩾2(X)[1]〉 satisfies a version of the valuative criterion for completeness. In the remainder of the paper, we give a series of results on how to compute cohomology with respect to this heart
AbstractIn this article, we solve the problem of constructing moduli spaces of semistable principal ...
For a simplicial subdivison # of a region in k (k algebraically closed) and r N, there is a ref...
We give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says...
AbstractFor a K3 surface X and its bounded derived category of coherent sheaves D(X), we have the no...
Let X be a projective complex K3 surface. Beauville and Voisin singled out a 0-cycle c(X) on X of de...
In this paper we prove that given a pair (X, D) of a threefold X and a boundary divisor D with mild ...
LetH be a semisimple algebraic group. We prove the semistable reduction theorem for µ–semistable pri...
Let E be a semistable (or stable) principal bundle over a smooth complex projective variety X, and l...
Let G be a simple linear algebraic group defined over the field of complex numbers. Fix a proper par...
We give a new proof of the Mordell–Lang conjecture in positive characteristic, in the situation wher...
We consider the moduli space of stable torsion free sheaves of any rank on a smooth projective three...
Let H be a semisimple algebraic group and let X be a smooth projective curve defined over an algebra...
ABSTRACT. We describe a connected component of the space of stability conditions on abelian threefol...
Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-...
In this paper we prove that semistable sheaves with zero Chern classes on homogeneous spaces are tri...
AbstractIn this article, we solve the problem of constructing moduli spaces of semistable principal ...
For a simplicial subdivison # of a region in k (k algebraically closed) and r N, there is a ref...
We give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says...
AbstractFor a K3 surface X and its bounded derived category of coherent sheaves D(X), we have the no...
Let X be a projective complex K3 surface. Beauville and Voisin singled out a 0-cycle c(X) on X of de...
In this paper we prove that given a pair (X, D) of a threefold X and a boundary divisor D with mild ...
LetH be a semisimple algebraic group. We prove the semistable reduction theorem for µ–semistable pri...
Let E be a semistable (or stable) principal bundle over a smooth complex projective variety X, and l...
Let G be a simple linear algebraic group defined over the field of complex numbers. Fix a proper par...
We give a new proof of the Mordell–Lang conjecture in positive characteristic, in the situation wher...
We consider the moduli space of stable torsion free sheaves of any rank on a smooth projective three...
Let H be a semisimple algebraic group and let X be a smooth projective curve defined over an algebra...
ABSTRACT. We describe a connected component of the space of stability conditions on abelian threefol...
Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-...
In this paper we prove that semistable sheaves with zero Chern classes on homogeneous spaces are tri...
AbstractIn this article, we solve the problem of constructing moduli spaces of semistable principal ...
For a simplicial subdivison # of a region in k (k algebraically closed) and r N, there is a ref...
We give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says...
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