We give a formula for the specialization of the Fourier-Mukai transform on a semi-abelian variety of torus rank 1.
We introduce a stratification on the space of symplectic flags on the de Rham bundle of the universal principally polarized abelian variety in positive characteristic. We study its geometric properties, such as irreducibility of the strata, and we calculate the cycle classes. When the characteristic
These are the lecture notes of the lectures on Siegel modular forms at the Nordfjordeid Summer School on Modular Forms and their Applications. We give a survey of Siegel modular forms and explain the joint work with Carel Faber on vector-valued Siegel modular forms of genus 2 and present evidence fo
Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today. Modular forms formed the inspirati
We prove a lower bound for the codimension of the Andreotti-Mayer locus N-g,N-1 and show that the lower bound is reached only for the hyperelliptic locus in genus 4 and the Jacobian locus in genus 5. In relation with the intersection of the Andreotti-Mayer loci with the boundary of the moduli space
We show how to calculate the Euler characteristic of a local system Vλ associated to an irreducible representation Vλ of the symplectic group of genus 3 on the moduli space M3 of curves of genus 3 and the moduli space A3 of principally polarised abelian varieties of dimension 3.
Abstract: By using the Grothendieck-Riemann-Roch theorem we derive cycle relations modulo algebraic equivalence in the Jacobian of a curve. The relations generalize the relations found by Colombo and van Geemen and are analogous to but simpler than the relations recently found by Herbaut. In an appe
In this note, we prove some cycle class relations on moduli of K3 surfaces. Keywords: K3 surface, moduli space, tautological class.
Wat zijn codes? Wellicht is het beter eerst te zeggen waarvoor codes gebruikt worden. Codes worden gebruikt om (digitale) data foutenvrij te transporteren. Dit betreft alle vormen van digitaal datatransport, variÄerend van satellietcommunicatie, internet, fax tot en met het lezen van een CD. In het
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