3 papers
math.AG2026
Logarithmic negative tangency and root stacks
Luca Battistella, Navid Nabijou, Dhruv Ranganathan
We study stable maps to normal crossings pairs with possibly negative tangency orders. There are two independent models: punctured Gromov-Witten theory of pairs and orbifold Gromov…
math.AG2026
Euler characteristics of higher rank double ramification loci in genus one
Luca Battistella, Navid Nabijou
Double ramification loci parametrise marked curves where a weighted sum of the markings is linearly trivial; higher-rank loci are obtained by imposing several such conditions simul…
math.AG2026
Vector bundles on Olsson fans
Luca Battistella, Francesca Carocci, Jonathan Wise
Artin fans are algebro-geometric incarnations of cone complexes. We study weakly convex Olsson fans, generalising Artin fans in two ways: first, they admit lineality spaces, thus i…