The purpose of this paper is to give new examples of rational cubic fourfolds. Let C denote the moduli space of cubic fourfolds, a twenty-dimensional quasi-projective variety. The cubic fourfolds containing a plane form a divisor C
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
We isolate a class of smooth rational cubic fourfolds X containing a plane whose associated quadric ...
on cubic fourfolds of three types: Pfaffian cubics, cubics containing a plane, and singular cubics, ...
This paper is concerned with smooth cubic hypersurfaces of di-mension four (cubic fourfolds) and the...
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...
This thesis investigates cubic hypersurfaces and their Fano schemes. After introducing the Fano sche...
A cubic fourfold is a smooth cubic hypersurface of dimension four; it is special if it contains a su...
We show that a cubic fourfold F that is apolar to a Veronese surface has the property that its varie...
We prove that every Hassett’s Noether–Lefschetz divisor of special cubic fourfolds contains a union ...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
Abstract. For a general nonsingular cubic fourfold X ⊂ P5 and e ≥ 5 an odd integer, we show that the...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
We isolate a class of smooth rational cubic fourfolds X containing a plane whose associated quadric ...
on cubic fourfolds of three types: Pfaffian cubics, cubics containing a plane, and singular cubics, ...
This paper is concerned with smooth cubic hypersurfaces of di-mension four (cubic fourfolds) and the...
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...
This thesis investigates cubic hypersurfaces and their Fano schemes. After introducing the Fano sche...
A cubic fourfold is a smooth cubic hypersurface of dimension four; it is special if it contains a su...
We show that a cubic fourfold F that is apolar to a Veronese surface has the property that its varie...
We prove that every Hassett’s Noether–Lefschetz divisor of special cubic fourfolds contains a union ...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
Abstract. For a general nonsingular cubic fourfold X ⊂ P5 and e ≥ 5 an odd integer, we show that the...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...
33 pages, minor edits, introduction expandedWe show that a cubic fourfold F that is apolar to a Vero...