4 papers
On the irrationality of moduli spaces of projective hyperkähler manifolds
Daniele Agostini, Ignacio Barros, Kuan-Wen Lai
The aim of this paper is to estimate the irrationality of moduli spaces of hyperkähler manifolds of types K3, Kum, OG6, and OG10. We prove that the degrees of irratio…
Ulrich sheaves, the arithmetic writhe and algebraic isotopies of space curves
Daniele Agostini, Mario Kummer
We establish a connection between the theory of Ulrich sheaves and -homotopy theory. For instance, we prove that the -degree of a morphism between proje…
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…
Vector Spaces of Generalized Euler Integrals
Daniele Agostini, Claudia Fevola, Anna-Laura Sattelberger +1
We study vector spaces associated to a family of generalized Euler integrals. Their dimension is given by the Euler characteristic of a very affine variety. Motivated by Feynman in…