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ALESSANDRO VERRA (2005). Rationality and unirationality problems in algebraic geometry
No full textSurvey 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
Problemi di razionalità e unirazionalità: da Ugo Morin ai giorni nostri
Get PDFpp. 165-184Unirationality and rationality problems are, in
the field of Algebraic Geometry, among the most significant topics of the scientific legacy of Ugo Morin. The paper compares the present state of the art, and its historical evolution, with Morin’s achievements and his brilliant ideas. A special attention to open problems and the newer notion of rational connectivity is payed
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