Add to ORKGDedicated to Robin Hartshorne on the occasion of his sixtieth birthday 1 Introduction. Let k be a perfect field and L/K be a finite separable field extension of one-dimensional function fields over k. A classical result (c.f. I.6, [Ha]) states that K (resp. L) has a unique proper and smooth model C (resp. D), and that there is a unique morphism of curves f: D → C inducing the field inclusion K ⊂
This thesis assembles some new results in the field arithmetic of various classes of fields, includi...
Every field K admits proper projective extensions, that is, Galois extensions where the Galois group...
This paper gives a very good systematic presentation of the equivalence between the algebraic functi...
Given an algebraic function field K/k and a finite algebraic extension L of K, does there exist a pr...
International audienceLet K be the function field of a smooth and proper curve S over an algebraical...
Let C/k‾ be a smooth plane curve defined over k‾ a fixed algebraic closure of a perfect field k. We ...
Let $K$ be a local field with algebraically closed residue field and $X_K$ a torsor under an ellipti...
Abstract. Let X be a curve over an algebraically closed field k of arbitrary char-acteristic, and le...
Let C(K) be the K-points of a smooth projective curve C of genus g > 1 and J(K) its Jacobian. Fixing...
In this thesis we study the resolution of cyclic quotient singularities on fibered surfaces, i.e. g...
Thesis (Ph.D.)--University of Washington, 2018Using formal-local methods, we prove that a separated ...
This thesis deals with curves, i.e. smooth projective algebraic varieties of dimension one, and thei...
Let S be a Dedekind scheme with field of functions K. We show that if X_K is a smooth connected prop...
This work is centered around the question How singular is a point on an algebraic or analytic varie...
In this thesis, we investigate those properties of an algebraic set that are determined by its parti...
This thesis assembles some new results in the field arithmetic of various classes of fields, includi...
Every field K admits proper projective extensions, that is, Galois extensions where the Galois group...
This paper gives a very good systematic presentation of the equivalence between the algebraic functi...
Given an algebraic function field K/k and a finite algebraic extension L of K, does there exist a pr...
International audienceLet K be the function field of a smooth and proper curve S over an algebraical...
Let C/k‾ be a smooth plane curve defined over k‾ a fixed algebraic closure of a perfect field k. We ...
Let $K$ be a local field with algebraically closed residue field and $X_K$ a torsor under an ellipti...
Abstract. Let X be a curve over an algebraically closed field k of arbitrary char-acteristic, and le...
Let C(K) be the K-points of a smooth projective curve C of genus g > 1 and J(K) its Jacobian. Fixing...
In this thesis we study the resolution of cyclic quotient singularities on fibered surfaces, i.e. g...
Thesis (Ph.D.)--University of Washington, 2018Using formal-local methods, we prove that a separated ...
This thesis deals with curves, i.e. smooth projective algebraic varieties of dimension one, and thei...
Let S be a Dedekind scheme with field of functions K. We show that if X_K is a smooth connected prop...
This work is centered around the question How singular is a point on an algebraic or analytic varie...
In this thesis, we investigate those properties of an algebraic set that are determined by its parti...
This thesis assembles some new results in the field arithmetic of various classes of fields, includi...
Every field K admits proper projective extensions, that is, Galois extensions where the Galois group...
This paper gives a very good systematic presentation of the equivalence between the algebraic functi...