Let $W \subset \mathbb {P}^4$ be a general quintic hypersurface. We prove that $W$ contains no smooth rational curve $C\subset \mathbb {P}^4$ with degree $d\in \{13,14,15\}$, $h^0(\mathcal {I} _C(1)) =0$ and $h^0(\mathcal {I} _C(2)) >0$
Smooth surfaces S in P^4 containing a 1-dimensional family of plane curves not forming a fibration a...
We show that for a general smooth rational curve on a general hypersurface of degree $d\leq N$ in $\...
The families of smooth rational surfaces in P"4 have been classified in degree #<=# 10. All ...
Let $W \subset \mathbb {P}^4$ be a general quintic hypersurface. We prove that $W$ contains no smoot...
Let $W \subset \mathbb {P}^4$ be a general quintic hypersurface. We prove that $W$ contains no smoot...
We study rational surfaces on very general Fano hypersurfaces in $\mathbb{P}^n$, with an eye toward ...
Abstract. We prove that the space of rational curves of a fixed degree on any smooth cubic hypersurf...
Abstract. We prove that the space of rational curves of a fixed degree on any smooth cubic hypersurf...
AbstractThe conjecture of C.H. Clemens, concerning the finiteness of the number of smooth rational c...
We prove that if is a smooth nondegenerate surface covered by a one-dimensional family D={Dx}x 08T ...
AbstractIn this paper we prove that every entire curve in a smooth hypersurface of degree d⩾97 in PC...
There has been recent progress in the question of which unirational hypersurfaces are rational. Clas...
We show that for a general smooth rational curve on a general hypersurface of degree $d\leq N$ in $\...
We show that for a general smooth rational curve on a general hypersurface of degree $d\leq N$ in $\...
A well-known theorem of Max Noether asserts that the gonality of a smooth curve C ⊂ P^2 of degree d ...
Smooth surfaces S in P^4 containing a 1-dimensional family of plane curves not forming a fibration a...
We show that for a general smooth rational curve on a general hypersurface of degree $d\leq N$ in $\...
The families of smooth rational surfaces in P"4 have been classified in degree #<=# 10. All ...
Let $W \subset \mathbb {P}^4$ be a general quintic hypersurface. We prove that $W$ contains no smoot...
Let $W \subset \mathbb {P}^4$ be a general quintic hypersurface. We prove that $W$ contains no smoot...
We study rational surfaces on very general Fano hypersurfaces in $\mathbb{P}^n$, with an eye toward ...
Abstract. We prove that the space of rational curves of a fixed degree on any smooth cubic hypersurf...
Abstract. We prove that the space of rational curves of a fixed degree on any smooth cubic hypersurf...
AbstractThe conjecture of C.H. Clemens, concerning the finiteness of the number of smooth rational c...
We prove that if is a smooth nondegenerate surface covered by a one-dimensional family D={Dx}x 08T ...
AbstractIn this paper we prove that every entire curve in a smooth hypersurface of degree d⩾97 in PC...
There has been recent progress in the question of which unirational hypersurfaces are rational. Clas...
We show that for a general smooth rational curve on a general hypersurface of degree $d\leq N$ in $\...
We show that for a general smooth rational curve on a general hypersurface of degree $d\leq N$ in $\...
A well-known theorem of Max Noether asserts that the gonality of a smooth curve C ⊂ P^2 of degree d ...
Smooth surfaces S in P^4 containing a 1-dimensional family of plane curves not forming a fibration a...
We show that for a general smooth rational curve on a general hypersurface of degree $d\leq N$ in $\...
The families of smooth rational surfaces in P"4 have been classified in degree #<=# 10. All ...
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