16 citations · 64 across the 18 of their papers we have counts for
5 papers · 1 filter
On the irrationality of moduli spaces of K3 surfaces
Daniele Agostini, Ignacio Barros, Kuan-Wen Lai
We study how the degrees of irrationality of moduli spaces of polarized K3 surfaces grow with respect to the genus . We prove that the growth is bounded by a polynomial function…
Pencils on surfaces with normal crossings and the Kodaira dimension of
Daniele Agostini, Ignacio Barros
We study smoothing of pencils of curves on surfaces with normal crossings. As a consequence we show that the canonical divisor of is not pseudo-effec…
The Dubrovin threefold of an algebraic curve
Daniele Agostini, Türkü Özlüm Çelik, Bernd Sturmfels
The solutions to the Kadomtsev-Petviashvili equation that arise from a fixed complex algebraic curve are parametrized by a threefold in a weighted projective space, which we name a…
Theta surfaces
Daniele Agostini, Türkü Özlüm Çelik, Julia Struwe +1
A theta surface in affine 3-space is the zero set of a Riemann theta function in genus 3. This includes surfaces arising from special plane quartics that are singular or reducible.…
On the Prym map for cyclic covers of genus two curves
Daniele Agostini
The Prym map assigns to each covering of curves a polarized abelian variety. In the case of unramified cyclic covers of curves of genus two, we show that the Prym map is ramified p…