Add to ORKGLet S be a Dedekind scheme with field of functions K. We show that if X_K is a smooth connected proper curve of positive genus over K, then it admits a Néron model over S, i.e., a smooth separated model of finite type satisfying the usual Néron mapping property. It is given by the smooth locus of the minimal proper regular model of X_K over S, as in the case of elliptic curves. When S is excellent, a similar result holds for connected smooth affine curves different from the affine line, with locally finite type Néron models
Let C be a smooth complete algebraic curve of genus g and C2g−2 ⊂ Pg−1 the canonical model. It is ge...
Abstract. We construct families of smooth, proper, algebraic curves in char-acteristic 0, of arbitra...
In this thesis we study genus one curves of degree n embedded in projective space P n−1 . We are spe...
We construct modular Deligne-Mumford stacks P_{d,g} representable over M_g parametrizing N´eron mod...
It is known that in algebraic geometry the N\ue9ron model (if it exists) of a smooth group scheme G ...
We construct families of smooth, proper, algebraic curves in characteristic 0, of arbitrary genus g,...
Let C/k‾ be a smooth plane curve defined over k‾ a fixed algebraic closure of a perfect field k. We ...
Let O_K be discrete valuation ring with a field of fractions K and a perfect residue field. Let E be...
In this thesis we give insight into the minimisation problem of genus one curves defined by equation...
Let $H_{d,g}$ denote the Hilbert scheme of locally Cohen-Macaulay curves of degree $d$ and genus $g$...
In this paper we consider some families of smooth rational curves of degree 2, 3 and 4 on a smooth F...
Let C(K) be the K-points of a smooth projective curve C of genus g > 1 and J(K) its Jacobian. Fixing...
Let $K$ be a local field with algebraically closed residue field and $X_K$ a torsor under an ellipti...
this paper, we study some possible relationships between the models of X and of Y . In the first par...
Dedicated to Robin Hartshorne on the occasion of his sixtieth birthday 1 Introduction. Let k be a pe...
Let C be a smooth complete algebraic curve of genus g and C2g−2 ⊂ Pg−1 the canonical model. It is ge...
Abstract. We construct families of smooth, proper, algebraic curves in char-acteristic 0, of arbitra...
In this thesis we study genus one curves of degree n embedded in projective space P n−1 . We are spe...
We construct modular Deligne-Mumford stacks P_{d,g} representable over M_g parametrizing N´eron mod...
It is known that in algebraic geometry the N\ue9ron model (if it exists) of a smooth group scheme G ...
We construct families of smooth, proper, algebraic curves in characteristic 0, of arbitrary genus g,...
Let C/k‾ be a smooth plane curve defined over k‾ a fixed algebraic closure of a perfect field k. We ...
Let O_K be discrete valuation ring with a field of fractions K and a perfect residue field. Let E be...
In this thesis we give insight into the minimisation problem of genus one curves defined by equation...
Let $H_{d,g}$ denote the Hilbert scheme of locally Cohen-Macaulay curves of degree $d$ and genus $g$...
In this paper we consider some families of smooth rational curves of degree 2, 3 and 4 on a smooth F...
Let C(K) be the K-points of a smooth projective curve C of genus g > 1 and J(K) its Jacobian. Fixing...
Let $K$ be a local field with algebraically closed residue field and $X_K$ a torsor under an ellipti...
this paper, we study some possible relationships between the models of X and of Y . In the first par...
Dedicated to Robin Hartshorne on the occasion of his sixtieth birthday 1 Introduction. Let k be a pe...
Let C be a smooth complete algebraic curve of genus g and C2g−2 ⊂ Pg−1 the canonical model. It is ge...
Abstract. We construct families of smooth, proper, algebraic curves in char-acteristic 0, of arbitra...
In this thesis we study genus one curves of degree n embedded in projective space P n−1 . We are spe...