4 papers · 1 filter
A family of marked cubic surfaces and the root system D_5
Elisabetta Colombo, Bert van Geemen
We define and study a family of cubic surfaces in the projectivized tangent bundle over a four dimensional projective space associated to the root system D_5. The 27 lines are rati…
The Chow group of the moduli space of marked cubic surfaces
Elisabetta Colombo, Bert van Geemen
Naruki gave an explicit construction of the moduli space of marked cubic surfaces, starting from a toric variety and proceeding with blow ups and contractions. Using his result, we…
The mixed Hodge structure on the fundamental group of hyperelliptic curves and higher cycles
Elisabetta Colombo
In this paper we give a geometrical interpretation of an extension of mixed Hodge structures (MHS) obtained from the canonical MHS on the group ring of the fundamental group of a h…
Hodge-Gaussian maps
Elisabetta Colombo, Gian Pietro Pirola, Alfonso Tortora
Let be a compact Kähler manifold, and let be a line bundle on Define to be the kernel of the multiplication map For all $h \le…