5 papers
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…
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…
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…
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…
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…