10 papers · 1 filter
Clusters, twistors and stability conditions I
Tom Bridgeland, Helge Ruddat
We consider a quiver of ADE type and use cluster combinatorics to define two complex manifolds and . The space can be identified with a qu…
Intrinsic enumerative mirror symmetry: Takahashi's log mirror symmetry for revisited
Michel van Garrel, Helge Ruddat, Bernd Siebert
Let be a smooth cubic in the projective plane . Nobuyoshi Takahashi formulated a conjecture that expresses counts of rational curves of varying degree in $\mathbb…
Singular Log Structures and Log Crepant Log Resolutions I
Alessio Corti, Tim Graefnitz, Helge Ruddat
We introduce a class of singular log schemes in three dimensions and conjecture that log schemes in this class admit log crepant log resolutions. We provide examples as evidence an…
Enumerative Geometry of Quantum Periods
Tim Gräfnitz, Helge Ruddat, Eric Zaslow +1
We interpret the -refined theta function of a log Calabi-Yau surface as a natural -refinement of the open mirror map, defined by quantum period…
How to make log structures
Alessio Corti, Helge Ruddat
We introduce the concept of a viable generically Gorenstein toroidal crossing (ggtc) space . This generalizes the concept of Gorenstein toroidal crossing scheme, which in turn g…
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…