4 papers · 1 filter
Splitting and loop theorems in logarithmic Gromov--Witten theory
Leo Herr, David Holmes, Pim Spelier
We define a new theory of logarithmic Gromov--Witten invariants allowing negative contact orders using pierced logarithmic curves. We prove that these classes satisfy logarithmic b…
Functoriality of logarithmic Hochschild homology of log smooth pairs
Ãdám Gyenge, Márton Hablicsek, Leo Herr
The construction of a satisfactory dg category of logarithmic coherent sheaves remains a central open problem in logarithmic geometry. In this paper, we propose an alternative corr…
Log geometry and lifting rational points
Leo Herr, Sara Mehidi, Marta Pieropan +1
For a morphism of schemes, we give a tropical criterion for which points of (valued in a field, discrete valuation ring, number ring, or Dedekind domain) lift to…
The log Grothendieck ring of varieties
Andreas Gross, Leo Herr, David Holmes +2
We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``'' over the usual Grothendieck ring. We show the naïve definition of log H…