Let V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in \u21195(\u2102). V is a non rational Fano threefold. It is interesting to study the rationality of V when it contains n planes. This problem has been solved when the planes meet two by two in one point only. We consider and solve all remaining cases
This thesis investigates cubic hypersurfaces and their Fano schemes. After introducing the Fano sche...
We show that a smooth projective geometrically rationally connected variety over the real numbers wi...
We isolate a class of smooth rational cubic fourfolds X containing a plane whose associated quadric ...
SummaryLet V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in ℙ5(ℂ...
SummaryLet V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in ℙ5(ℂ...
AbstractWe prove that the Fano variety W of degree 6 in ℙ5, complete intersection of a smooth quadri...
AbstractWe prove that the Fano variety W of degree 6 in ℙ5, complete intersection of a smooth quadri...
In a joint work with Yu.Prokhorov we established rationality criteria for geometrically rational Fa...
In a joint work with Yu.Prokhorov we established rationality criteria for geometrically rational Fa...
There has been recent progress in the question of which unirational hypersurfaces are rational. Clas...
In this note we propose an approach to some questions about the birational geometry of smooth cubic ...
This thesis is concerned with rationality questions of algebraic varieties, specifically questions r...
26 pages, with an Appendix by Giovanni Staglian\`o. Comments welcomeIn this paper we investigate the...
26 pages, with an Appendix by Giovanni Staglian\`o. Comments welcomeIn this paper we investigate the...
ABSTRACT. We show that the complete intersection V = V (2, 3) ⊆ P5 of a quadric and a cubic in 5-di...
This thesis investigates cubic hypersurfaces and their Fano schemes. After introducing the Fano sche...
We show that a smooth projective geometrically rationally connected variety over the real numbers wi...
We isolate a class of smooth rational cubic fourfolds X containing a plane whose associated quadric ...
SummaryLet V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in ℙ5(ℂ...
SummaryLet V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in ℙ5(ℂ...
AbstractWe prove that the Fano variety W of degree 6 in ℙ5, complete intersection of a smooth quadri...
AbstractWe prove that the Fano variety W of degree 6 in ℙ5, complete intersection of a smooth quadri...
In a joint work with Yu.Prokhorov we established rationality criteria for geometrically rational Fa...
In a joint work with Yu.Prokhorov we established rationality criteria for geometrically rational Fa...
There has been recent progress in the question of which unirational hypersurfaces are rational. Clas...
In this note we propose an approach to some questions about the birational geometry of smooth cubic ...
This thesis is concerned with rationality questions of algebraic varieties, specifically questions r...
26 pages, with an Appendix by Giovanni Staglian\`o. Comments welcomeIn this paper we investigate the...
26 pages, with an Appendix by Giovanni Staglian\`o. Comments welcomeIn this paper we investigate the...
ABSTRACT. We show that the complete intersection V = V (2, 3) ⊆ P5 of a quadric and a cubic in 5-di...
This thesis investigates cubic hypersurfaces and their Fano schemes. After introducing the Fano sche...
We show that a smooth projective geometrically rationally connected variety over the real numbers wi...
We isolate a class of smooth rational cubic fourfolds X containing a plane whose associated quadric ...
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