Add to ORKGSurvey paper on the theme of rationality and uniratioality in Algebraic Geometry. The contents follow rhe natural historical evolution of the subject since Lueroth problem to nowadays notions, in particular the notion of rationally connected varieties. The key objects considered for this survey are smooth hypersurfaces of degree d < n+1 in projective space of dimension n
The families of smooth rational surfaces in P"4 have been classified in degree #<=# 10. All ...
This book offers a wide-ranging introduction to algebraic geometry along classical lines. It consist...
In the 1950s Lang studied the properties of $C_1$ fields, that is, fields over which every hypersurf...
Abstract. For a general hypersurface of degree d in projective n-space, if n ≥ d2 the spaces of 2-po...
Providing an overview of the state of the art on rationality questions in algebraic geometry, this v...
This survey retraces the author’s talk at the Workshop "Birational geometry of surfaces", Rome, Janu...
This survey retraces the author’s talk at the Workshop "Birational geometry of surfaces", Rome, Janu...
We study various measures of irrationality for hypersurfaces of large degree in projective space and...
We study various measures of irrationality for hypersurfaces of large degree in projective space and...
An algebraic variety is unirational if it is dominated by a projective space; it is separably unirat...
This book is motivated by the problem of determining the set of rational points on a variety, but it...
There has been recent progress in the question of which unirational hypersurfaces are rational. Clas...
This thesis is concerned with rationality questions of algebraic varieties, specifically questions r...
Abstract. By studying the theory of rational curves, we introduce a notion of rational simple connec...
We study various measures of irrationality for hypersurfaces of large degree in projective space and...
The families of smooth rational surfaces in P"4 have been classified in degree #<=# 10. All ...
This book offers a wide-ranging introduction to algebraic geometry along classical lines. It consist...
In the 1950s Lang studied the properties of $C_1$ fields, that is, fields over which every hypersurf...
Abstract. For a general hypersurface of degree d in projective n-space, if n ≥ d2 the spaces of 2-po...
Providing an overview of the state of the art on rationality questions in algebraic geometry, this v...
This survey retraces the author’s talk at the Workshop "Birational geometry of surfaces", Rome, Janu...
This survey retraces the author’s talk at the Workshop "Birational geometry of surfaces", Rome, Janu...
We study various measures of irrationality for hypersurfaces of large degree in projective space and...
We study various measures of irrationality for hypersurfaces of large degree in projective space and...
An algebraic variety is unirational if it is dominated by a projective space; it is separably unirat...
This book is motivated by the problem of determining the set of rational points on a variety, but it...
There has been recent progress in the question of which unirational hypersurfaces are rational. Clas...
This thesis is concerned with rationality questions of algebraic varieties, specifically questions r...
Abstract. By studying the theory of rational curves, we introduce a notion of rational simple connec...
We study various measures of irrationality for hypersurfaces of large degree in projective space and...
The families of smooth rational surfaces in P"4 have been classified in degree #<=# 10. All ...
This book offers a wide-ranging introduction to algebraic geometry along classical lines. It consist...
In the 1950s Lang studied the properties of $C_1$ fields, that is, fields over which every hypersurf...