6 papers
Compactifying torus fibrations over integral affine manifolds with singularities
Helge Ruddat, Ilia Zharkov
This is an announcement of the following construction: given an integral affine manifold with singularities, we build a topological space which is a torus fibration over $B…
Tailoring a pair of pants
Helge Ruddat, Ilia Zharkov
We show how to deform the map such that the image of the complex pair of pants is…
Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations
Helge Ruddat, Bernd Siebert
We give a simple expression for the integral of the canonical holomorphic volume form in degenerating families of varieties constructed from wall structures and with central fiber…
Tropically constructed Lagrangians in mirror quintic threefolds
Cheuk Yu Mak, Helge Ruddat
We use tropical curves and toric degeneration techniques to construct closed embedded Lagrangian rational homology spheres in a lot of Calabi-Yau threefolds. We apply this construc…
Local uniqueness of approximations and finite determinacy of log morphisms
Helge Ruddat
I prove a local finite determinacy result of singular fibres in families. As an application, I generalize finite determinacy results on the fibres of log morphisms and nearby and v…
Motivic Zeta Functions of the Quartic and its Mirror Dual
Johannes Nicaise, D. Peter Overholser, Helge Ruddat
We use a formula of Bultot to compute the motivic zeta function for the toric degeneration of the quartic K3 and its Gross-Siebert mirror dual degeneration. We check for this expli…