5 citations · 8 across the 8 of their papers we have counts for
8 papers
Oka and Alexander polynomials of symplectic curves and divisibility relations
Hanine Awada, Marco Golla
We prove Libgober's divisibility relations for Oka and Alexander polynomials of symplectic curves in the complex projective plane. Along the way, we give new proofs of the divisibi…
Moduli of Cubic fourfolds and reducible OADP surfaces
Michele Bolognesi, Zakaria Brahimi, Hanine Awada
In this paper we explore the intersection of the Hassett divisor , parametrizing smooth cubic fourfolds containing a plane with other divisors .…
K3 surfaces and cubic fourfolds with Abelian motive
Hanine Awada, Michele Bolognesi, Robert Laterveer +1
We show that cubic fourfolds with lattice of algebraic 2-cycles of rank greater than 19 have abelian and finite dimensional (in the sense of Kimura) Chow motive. This also implies…
Some Moduli of -pointed Fano Fourfolds
Hanine Awada, Michele Bolognesi, Giovanni Stagliano'
The object of this note is the moduli spaces of cubic fourfolds (resp., Gushel-Mukai fourfolds) which contain some special rational surfaces. Under some hypotheses on the families…
A family of special cubic fourfolds with motive of abelian type
Hanine Awada, Michele Bolognesi, Claudio Pedrini
In this short note, we show that there exist one dimensional families of cubic fourfolds with Chow motive of abelian type and finite dimensional inside every Hassett divisor of spe…
Rational cubic fourfolds with associated singular K3 surfaces
Hanine Awada
Generalizing a recent construction of Yang and Yu, we study to what extent one can intersect Hassett's Noether-Lefschetz divisors in the moduli space of cubic fourf…
Unirationality of certain universal families of cubic fourfolds
Hanine Awada, Michele Bolognesi
The aim of this short note is to define the \it universal cubic fourfold \rm over certain loci of their moduli space. Then, we propose two methods to prove that it is unirational o…
Rational fibered cubic fourfolds
Hanine Awada
Some classes of cubic fourfolds are birational to fibrations over , where the fibers are rational surfaces. This is the case for cubics containing a plane (resp. an elliptic r…