Add to ORKGWe give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says that a parabolic vector bundle E* with rational parabolic weights is semistable if and only if there is another parabolic vector bundle F* with rational parabolic weights such that the cohomologies of the vector bundle underlying the parabolic tensor product E* ⊗ F* vanish. This criterion generalizes the known semistability criterion of Faltings for vector bundles on curves and significantly improves the result in [Bis07]
Let $X$ be a smooth projective curve of genus $g\geq 4$. Here we show the existence for several nume...
AbstractIt is known that a vector bundle E on a smooth projective curve Y defined over an algebraica...
We observe that if we are interested primarily in degeneration arguments, there is a weaker...
We give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says...
Let X be an irreducible smooth complex projective curve and S ⊂ X a finite subset. Fix a posit...
Let X be an irreducible smooth complex projective curve. Faltings gave a cohomological criterion for...
Abstract. It is known that a vector bundle E on a smooth projective curve Y defined over an algebrai...
AbstractIt is known that a vector bundle E on a smooth projective curve Y defined over an algebraica...
It is known that a vector bundle E on a smooth projective curve Y defined over an algebraically clos...
On semistable vector bundles over curves.Let X be a geometrically irreducible smooth projective curv...
On semistable vector bundles over curves.Let X be a geometrically irreducible smooth projective curv...
Abstract. Let X be a geometrically irreducible smooth projective curve defined over a field k, and l...
The purpose of this paper is to compute the Betti numbers of the moduli space ofparabolic vector bun...
The purpose of this paper is to compute the Betti numbers of the moduli space ofparabolic vector bun...
Let G be a simple linear algebraic group defined over the field of complex numbers. Fix a proper par...
Let $X$ be a smooth projective curve of genus $g\geq 4$. Here we show the existence for several nume...
AbstractIt is known that a vector bundle E on a smooth projective curve Y defined over an algebraica...
We observe that if we are interested primarily in degeneration arguments, there is a weaker...
We give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says...
Let X be an irreducible smooth complex projective curve and S ⊂ X a finite subset. Fix a posit...
Let X be an irreducible smooth complex projective curve. Faltings gave a cohomological criterion for...
Abstract. It is known that a vector bundle E on a smooth projective curve Y defined over an algebrai...
AbstractIt is known that a vector bundle E on a smooth projective curve Y defined over an algebraica...
It is known that a vector bundle E on a smooth projective curve Y defined over an algebraically clos...
On semistable vector bundles over curves.Let X be a geometrically irreducible smooth projective curv...
On semistable vector bundles over curves.Let X be a geometrically irreducible smooth projective curv...
Abstract. Let X be a geometrically irreducible smooth projective curve defined over a field k, and l...
The purpose of this paper is to compute the Betti numbers of the moduli space ofparabolic vector bun...
The purpose of this paper is to compute the Betti numbers of the moduli space ofparabolic vector bun...
Let G be a simple linear algebraic group defined over the field of complex numbers. Fix a proper par...
Let $X$ be a smooth projective curve of genus $g\geq 4$. Here we show the existence for several nume...
AbstractIt is known that a vector bundle E on a smooth projective curve Y defined over an algebraica...
We observe that if we are interested primarily in degeneration arguments, there is a weaker...