Add to ORKGLet X be a minimal projective surface of general type defined over the complex numbers and let C ⊂ X be an irreducible curve of geomet-ric genus g. Assume that K2X is greater than the topological Euler number c2(X). Then we prove that the “canonical degree ” CKX of C is uniformly bounded in terms of the given invariants g,K2X and c2(X), thus giving an effective version of a theorem of Bogomolov on the boundedness of the curves of fixed genus in X
Let $C$ be a non--hyperelliptic curve of genus $g$. We prove that, if the minimal degree of a surfa...
By using a computer we are able to pose a conjecture for the expected number of generators of the id...
By using a computer we are able to pose a conjecture for the expected number of generators of the id...
7 pagesInternational audienceA widely believed conjecture predicts that curves of bounded geometric ...
A widely believed conjecture predicts that curves of bounded geometric genus lying on a variety of g...
This paper addresses the conjecture that the canonical degree degC(KX) of a curve C in a variety X o...
This paper addresses the conjecture that the canonical degree degC(KX) of a curve C in a variety X o...
We give upper bounds on the genus of a curve with general moduli assuming that it can be embedded in...
We give upper bounds on the genus of a curve with general moduli assuming that it can be embedded in...
This paper addresses the conjecture that the canonical degree degC(KX) of a curve C in a variety X o...
This paper addresses the conjecture that the canonical degree degC(KX) of a curve C in a variety X o...
Abstract. The canonical degree of a curve C on a surface X is KX ·C. Our main result, Theorem 1.1, i...
Let C C be a non-hyperelliptic curve of genus g g . We prove that...
It is known that the group of automorphisms of complex surfaces of general type is finite, and in fa...
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 $C$ be a non--hyperelliptic curve of genus $g$. We prove that, if the minimal degree of a surfa...
By using a computer we are able to pose a conjecture for the expected number of generators of the id...
By using a computer we are able to pose a conjecture for the expected number of generators of the id...
7 pagesInternational audienceA widely believed conjecture predicts that curves of bounded geometric ...
A widely believed conjecture predicts that curves of bounded geometric genus lying on a variety of g...
This paper addresses the conjecture that the canonical degree degC(KX) of a curve C in a variety X o...
This paper addresses the conjecture that the canonical degree degC(KX) of a curve C in a variety X o...
We give upper bounds on the genus of a curve with general moduli assuming that it can be embedded in...
We give upper bounds on the genus of a curve with general moduli assuming that it can be embedded in...
This paper addresses the conjecture that the canonical degree degC(KX) of a curve C in a variety X o...
This paper addresses the conjecture that the canonical degree degC(KX) of a curve C in a variety X o...
Abstract. The canonical degree of a curve C on a surface X is KX ·C. Our main result, Theorem 1.1, i...
Let C C be a non-hyperelliptic curve of genus g g . We prove that...
It is known that the group of automorphisms of complex surfaces of general type is finite, and in fa...
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 $C$ be a non--hyperelliptic curve of genus $g$. We prove that, if the minimal degree of a surfa...
By using a computer we are able to pose a conjecture for the expected number of generators of the id...
By using a computer we are able to pose a conjecture for the expected number of generators of the id...