We prove that any arithmetically Gorenstein curve on a smooth, general hypersurface of degree at least 6, is a complete intersection. This gives a characterisation of complete intersection curves on general type hypersurfaces in . We also verify that certain 1-cycles on a general quintic hypersurface are non-trivial elements of the Griffiths group
This paper concerns the existence of curves with low gonality on smooth hypersurfaces of sufficientl...
Recently it has been proved that any arithmetically Cohen-Macaulay (ACM) bundle of rank two on a gen...
In this article we calculate the genus of a projective complete intersection of any dimension and th...
We prove that any arithmetically Gorenstein curve on a smooth, general hypersurface of degree at le...
We ask when certain complete intersections of codimension r can lie on a generic hypersurface in P^n...
C. H. Clemens has shown that homologically trivial codimension two cycles on a general hypersurface ...
In the mid eighties Goldman proved that an embedded closed curve could be isotoped to not intersect ...
A result about curves in P3 obtained by R. Strano is generalized to arbitrary subvarieties of Pn. A ...
Let X be a projective manifold, of dimension n≥3, and L a very ample line bundle on X. In this paper...
AbstractIn this paper we classify all integral, non-degenerate, locally Cohen-Macaulay subvarieties ...
We calculate a Griffiths-type ring for smooth complete intersections in Grassmannians. This is the a...
Let $V\subset \bold P^5$ be a reduced and irreducible threefold of degree $s$, complete intersecti...
Let $X$ be either a general hypersurface of degree $n+1$ in $\mathbb P^n$ or a general $(2,n)$ compl...
- In this paper, we give a new and simplified proof of the variational Hodge conjecture for complete...
We discuss whether closed curves on closed orientable surfaces are contractible, and for non-contrac...
This paper concerns the existence of curves with low gonality on smooth hypersurfaces of sufficientl...
Recently it has been proved that any arithmetically Cohen-Macaulay (ACM) bundle of rank two on a gen...
In this article we calculate the genus of a projective complete intersection of any dimension and th...
We prove that any arithmetically Gorenstein curve on a smooth, general hypersurface of degree at le...
We ask when certain complete intersections of codimension r can lie on a generic hypersurface in P^n...
C. H. Clemens has shown that homologically trivial codimension two cycles on a general hypersurface ...
In the mid eighties Goldman proved that an embedded closed curve could be isotoped to not intersect ...
A result about curves in P3 obtained by R. Strano is generalized to arbitrary subvarieties of Pn. A ...
Let X be a projective manifold, of dimension n≥3, and L a very ample line bundle on X. In this paper...
AbstractIn this paper we classify all integral, non-degenerate, locally Cohen-Macaulay subvarieties ...
We calculate a Griffiths-type ring for smooth complete intersections in Grassmannians. This is the a...
Let $V\subset \bold P^5$ be a reduced and irreducible threefold of degree $s$, complete intersecti...
Let $X$ be either a general hypersurface of degree $n+1$ in $\mathbb P^n$ or a general $(2,n)$ compl...
- In this paper, we give a new and simplified proof of the variational Hodge conjecture for complete...
We discuss whether closed curves on closed orientable surfaces are contractible, and for non-contrac...
This paper concerns the existence of curves with low gonality on smooth hypersurfaces of sufficientl...
Recently it has been proved that any arithmetically Cohen-Macaulay (ACM) bundle of rank two on a gen...
In this article we calculate the genus of a projective complete intersection of any dimension and th...