4 citations · 12 across the 13 of their papers we have counts for
18 papers
The Fermat cubic and monodromy of lines
Frank Gounelas, Alexis Kouvidakis
In this paper we study properties of the locus of second type lines of a general cubic threefold and fourfold. By analysing the geometry of the Fano scheme of lines of the Fermat c…
Effective divisors on projectivized Hodge bundles and modular forms
Gerard van der Geer, Alexis Kouvidakis
We construct vector-valued modular forms on moduli spaces of curves and abelian varieties using effective divisors in projectivized Hodge bundles over moduli of curves. Cycle relat…
Geometry of lines on a cubic fourfold
Frank Gounelas, Alexis Kouvidakis
For a general cubic fourfold with Fano scheme of lines , we prove a number of properties of the universal family of lines and various subloci. We…
On some invariants of cubic fourfolds
Frank Gounelas, Alexis Kouvidakis
For a general cubic fourfold , we compute the Hodge numbers of the locus of lines of second type. We also give an upper bound of 6 for the deg…
Effective cycles on the symmetric product of a curve, II: the Abel-Jacobi faces
Francesco Bastianelli, Alexis Kouvidakis, Angelo Felice Lopez +1
In this paper, which is a sequel of [BKLV], we study the convex-geometric properties of the cone of pseudoeffective -cycles in the symmetric product of a smooth curve .…
Effective cycles on the symmetric product of a curve, I: the diagonal cone. (with an appendix by Ben Moonen)
Francesco Bastianelli, Alexis Kouvidakis, Angelo Felice Lopez +1
In this paper and in its sequel [BKLV], we investigate the cone of pseudoeffective -cycles in the symmetric product of a smooth curve . In the pres…