From the 1 of 10 linked papers with an AI index.
5 papers · 2 filters
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…
Logarithmic double ramification cycles
D. Holmes, S. Molcho, R. Pandharipande +2
Let be a vector of integers which sum to . The double ramification cycle on the moduli spac…
Logarithmic moduli of roots of line bundles on curves
David Holmes, Giulio Orecchia
We use the theory of logarithmic line bundles to construct compactifications of spaces of roots of a line bundle on a family of curves, generalising work of a number of authors. Th…
Models of Jacobians of curves
David Holmes, Samouil Molcho, Giulio Orecchia +1
We show that the Jacobians of prestable curves over toroidal varieties always admit Néron models. These models are rarely quasi-compact or separated, but we also give a complete c…
Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated
Ana MarÃa Botero, José Ignacio Burgos Gil, David Holmes +1
We show that the ring of Siegel-Jacobi forms of fixed degree and of fixed or bounded ratio between weight and index is not finitely generated. Our main tool is the theory of toroid…