Add to ORKGWe extend the method of algebraic patching due to Haran-Jarden-Völklein from complete absolute valued fields to complete domains. We apply the extended method to reprove a result of Lefcourt obtained by formal patching – every finite group is regularly realizable over the quotient field of a complete domain
embedding problems over complete domains By Elad Paran We prove that every finite split embedding pr...
Abstract. Let X be a curve over an algebraically closed field k of arbitrary char-acteristic, and le...
We prove that every finite split embedding problem is solvable over the field K((X1,..., Xn)) of for...
Assuming only basic algebra and Galois theory, this book develops the method of 'algebraic patching'...
These are notes for the minicourse Division algebras and patching at the 2012 Arizona Winter School....
We give an elementary self-contained proof of the following result, which Pop proved with methods of...
James Ax showed that, in each characteristic, there is a natural bijection from the space of complet...
We prove that in every finitely generated profinite group, every subgroup of finite index is open; t...
We prove that the theory of a Henselian valued field of characteristic zero, with finite ramificatio...
Consider an integral domain R that is complete with respect to a non-zero prime ideal a. This thesis...
Abstract. We classify Artin-Schreier extensions of valued fields with non-trivial defect according t...
Every field K admits proper projective extensions, that is, Galois extensions where the Galois group...
Abstract. This paper provides applications of patching to qua-dratic forms and central simple algebr...
A finite group $G$ is said to be admissible over a field $F$ if there exists a division algebra $D$ ...
AbstractThe model-complete, complete theories of pseudo-algebraically closed fields are characterize...
embedding problems over complete domains By Elad Paran We prove that every finite split embedding pr...
Abstract. Let X be a curve over an algebraically closed field k of arbitrary char-acteristic, and le...
We prove that every finite split embedding problem is solvable over the field K((X1,..., Xn)) of for...
Assuming only basic algebra and Galois theory, this book develops the method of 'algebraic patching'...
These are notes for the minicourse Division algebras and patching at the 2012 Arizona Winter School....
We give an elementary self-contained proof of the following result, which Pop proved with methods of...
James Ax showed that, in each characteristic, there is a natural bijection from the space of complet...
We prove that in every finitely generated profinite group, every subgroup of finite index is open; t...
We prove that the theory of a Henselian valued field of characteristic zero, with finite ramificatio...
Consider an integral domain R that is complete with respect to a non-zero prime ideal a. This thesis...
Abstract. We classify Artin-Schreier extensions of valued fields with non-trivial defect according t...
Every field K admits proper projective extensions, that is, Galois extensions where the Galois group...
Abstract. This paper provides applications of patching to qua-dratic forms and central simple algebr...
A finite group $G$ is said to be admissible over a field $F$ if there exists a division algebra $D$ ...
AbstractThe model-complete, complete theories of pseudo-algebraically closed fields are characterize...
embedding problems over complete domains By Elad Paran We prove that every finite split embedding pr...
Abstract. Let X be a curve over an algebraically closed field k of arbitrary char-acteristic, and le...
We prove that every finite split embedding problem is solvable over the field K((X1,..., Xn)) of for...