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math.AG2019★ 9 cited
Curve counting in genus one: elliptic singularities & relative geometry
Luca Battistella, Navid Nabijou, Dhruv Ranganathan
We construct and study the reduced, relative, genus one Gromov--Witten theory of very ample pairs. These invariants form the principal component contribution to relative Gromov--Wi…
math.AG2019★ 5 cited
Modular compactifications of with Gorenstein singularities
Luca Battistella
We study the geometry of Gorenstein curve singularities of genus two, and of their stable limits. These singularities come in two families, corresponding to either Weierstrass or c…