Abstract. Fix an integer k ≥ 2 and a smooth genus q projective curve X. Here we prove the existence of a smooth curve C, a degree k morphism C → X and a low degree base point free linear system on C not coming from X. Mathematics Subject Classification: 14H51; 14H3
Given number fields L $\supset$ K, smooth projective curves C defined over L and B defined over K, a...
Here we use nodal curves on Hirzebruch surfaces to construct pairs $ (X,L) $ with $ X $ a smooth pro...
Abstract. Given number fields L ⊃ K, smooth projective curves C defined over L and B defined over K,...
AbstractIrreducibility of Wd1(X) for d ≥ g − h + 1, where X is a curve of genus g which admits a deg...
It is known that a plane projective curve D consisting of a union of degree n curves in the same pe...
In this paper I prove that for any prime $p$ there is a constant $C_p>0$ such that for any $n>0$ and...
Let X be a non-hyperelliptic curve of genus g which is a double covering of a hyperelliptic curve C ...
In this paper we prove that for any prime p and for any p-power q there is a constant C_p > 0 such t...
It is known that a plane projective curve D consisting of a union of degree n curves in the same pe...
It is known that a plane projective curve D consisting of a union of degree n curves in the same pe...
Let S be a non-singular projective surface over C, and let f: S → B be a relatively minimal fibratio...
Abstract. In this paper, we generalize a classical theorem of del Pezzo [D] and Fujita [F1] and a re...
Abstract. Let X be a smooth and connected projective curve. Assume the existence of spanned L ∈ Pica...
An irreducible smooth projective curve over $\mathbb{F}_q$ is called \textit{pointless} if it has no...
Given number fields L $\supset$ K, smooth projective curves C defined over L and B defined over K, a...
Given number fields L $\supset$ K, smooth projective curves C defined over L and B defined over K, a...
Here we use nodal curves on Hirzebruch surfaces to construct pairs $ (X,L) $ with $ X $ a smooth pro...
Abstract. Given number fields L ⊃ K, smooth projective curves C defined over L and B defined over K,...
AbstractIrreducibility of Wd1(X) for d ≥ g − h + 1, where X is a curve of genus g which admits a deg...
It is known that a plane projective curve D consisting of a union of degree n curves in the same pe...
In this paper I prove that for any prime $p$ there is a constant $C_p>0$ such that for any $n>0$ and...
Let X be a non-hyperelliptic curve of genus g which is a double covering of a hyperelliptic curve C ...
In this paper we prove that for any prime p and for any p-power q there is a constant C_p > 0 such t...
It is known that a plane projective curve D consisting of a union of degree n curves in the same pe...
It is known that a plane projective curve D consisting of a union of degree n curves in the same pe...
Let S be a non-singular projective surface over C, and let f: S → B be a relatively minimal fibratio...
Abstract. In this paper, we generalize a classical theorem of del Pezzo [D] and Fujita [F1] and a re...
Abstract. Let X be a smooth and connected projective curve. Assume the existence of spanned L ∈ Pica...
An irreducible smooth projective curve over $\mathbb{F}_q$ is called \textit{pointless} if it has no...
Given number fields L $\supset$ K, smooth projective curves C defined over L and B defined over K, a...
Given number fields L $\supset$ K, smooth projective curves C defined over L and B defined over K, a...
Here we use nodal curves on Hirzebruch surfaces to construct pairs $ (X,L) $ with $ X $ a smooth pro...
Abstract. Given number fields L ⊃ K, smooth projective curves C defined over L and B defined over K,...