There are three main types of “pseudo closed fields”. They are the “pseudo algebraically closed fields ” (PAC), “pseudo real closed fields ” (PRC), and “pseudo p–adically closed fields”. Recall that a field K is said to be PAC (resp., PRC, PpC) if every absolutely irreducible variety V has a K-rational point provided it has a simple K-rational poin
The thesis addresses certain problems in the model theory of henselian fields, with a special focus ...
AbstractThe theorem of Lang asserting that a formally real finitely generated field extension of a r...
AbstractEvery Henselian field of residue characteristic 0 admits a truncation-closed embedding in a ...
A field K is called pseudo-algebraically closed (PAC) if every absolutely irreducible variety define...
We develop geometry of algebraic subvarieties of K^n over arbitrary Henselian valued fields K of equ...
Separably closed fields, Henselian fields, PAC fields, PRC fields, and PpC fields enjoy a common fea...
AbstractIn [R. Farré, A positivstellensatz for chain-closed fields R((t)) and some related fields, A...
Abstract. A degeneration of a separably rationally connected variety over a field k contains a geome...
Abstract"Closures" and "orders" of fields which are not necessarily formally real are introduced her...
Abstract. In (Arch. Math. 57 (1991), pp. 446–455), R. Farre ́ proved a posi-tivstellensatz for real-...
A group structure G = (G,G1,..., Gn) is projective if and only if G is isomorphic to a Galois group ...
Introduction Let K be a PAC (pseudo algebraically closed) field. Then the absolute Galois group GK ...
This PhD deals with the notion of pseudo algebraically closed (PAC) extensions of fields. It develop...
A valued field K is called p-henselian, if its valuation extends uniquely to the maximal Galois p-ex...
AbstractThe notion of ‘Pseudo Algebraically Closed (PAC) extensions’ is a generalization of the clas...
The thesis addresses certain problems in the model theory of henselian fields, with a special focus ...
AbstractThe theorem of Lang asserting that a formally real finitely generated field extension of a r...
AbstractEvery Henselian field of residue characteristic 0 admits a truncation-closed embedding in a ...
A field K is called pseudo-algebraically closed (PAC) if every absolutely irreducible variety define...
We develop geometry of algebraic subvarieties of K^n over arbitrary Henselian valued fields K of equ...
Separably closed fields, Henselian fields, PAC fields, PRC fields, and PpC fields enjoy a common fea...
AbstractIn [R. Farré, A positivstellensatz for chain-closed fields R((t)) and some related fields, A...
Abstract. A degeneration of a separably rationally connected variety over a field k contains a geome...
Abstract"Closures" and "orders" of fields which are not necessarily formally real are introduced her...
Abstract. In (Arch. Math. 57 (1991), pp. 446–455), R. Farre ́ proved a posi-tivstellensatz for real-...
A group structure G = (G,G1,..., Gn) is projective if and only if G is isomorphic to a Galois group ...
Introduction Let K be a PAC (pseudo algebraically closed) field. Then the absolute Galois group GK ...
This PhD deals with the notion of pseudo algebraically closed (PAC) extensions of fields. It develop...
A valued field K is called p-henselian, if its valuation extends uniquely to the maximal Galois p-ex...
AbstractThe notion of ‘Pseudo Algebraically Closed (PAC) extensions’ is a generalization of the clas...
The thesis addresses certain problems in the model theory of henselian fields, with a special focus ...
AbstractThe theorem of Lang asserting that a formally real finitely generated field extension of a r...
AbstractEvery Henselian field of residue characteristic 0 admits a truncation-closed embedding in a ...