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Rationally connected varieties
Carolina Araujo
This is an expository paper on rationally connected varieties. The aim is to provide an introduction to the subject, as well as to discuss a recent result by T. Graber, J. Harris a…
Rational curves of minimal degree and characterizations of
Carolina Araujo
In this paper we investigate complex uniruled varieties whose rational curves of minimal degree satisfy a special property. Namely, we assume that the tangent directions to suc…
Rational Curves on Varieties
Carolina Araujo, János Kollár
The aim of these notes is to give a introduction to the ideas and techniques of handling rational curves on varieties. The main emphasis is on varieties with many rational curves w…
Kähler-Einstein Metrics for some quasi smooth log del Pezzo Surfaces
Carolina Araujo
Recently Johnson and Kollár determined the complete list of anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. They also proved that many…