37 citations · 164 across the 30 of their papers we have counts for
5 papers · 1 filter
A note on the cycle of curves in a product of pairs
Dhruv Ranganathan
We prove that the cycle-valued logarithmic Gromov--Witten theory of a product of simple normal crossings pairs decomposes into a product of pieces coming from and $…
Gromov-Witten theory with maximal contacts
Navid Nabijou, Dhruv Ranganathan
We propose an intersection-theoretic method to reduce questions in genus zero logarithmic Gromov-Witten theory to questions in the Gromov-Witten theory of smooth pairs, in the pres…
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…
Logarithmic Gromov-Witten theory with expansions
Dhruv Ranganathan
We construct relative Gromov--Witten theory with expanded degenerations in the normal crossings setting and establish a degeneration formula for the resulting invariants. Given a s…
Rational curves in the logarithmic multiplicative group
Dhruv Ranganathan, Jonathan Wise
The logarithmic multiplicative group is a proper group object in logarithmic schemes, which morally compactifies the usual multiplicative group. We study the structure of the stack…