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math.AG2025
Multiple cover formulas for abelian surfaces via correlated invariants
Thomas Blomme, Francesca Carocci
We prove the multiple cover formula conjecture for abelian surfaces for a large class of insertions, including all stationary invariants. The proof uses the reduced degeneration fo…
math.AG2025
Correlated double ramification cycle formula
Thomas Blomme, Francesca Carocci
We prove a refinement of Pixton's formula for the double ramification cycle with target variety which takes into account the correlator of a rubber map previously introduced by the…
math.AG2025
A short proof of the multiple cover formula for point insertions
Thomas Blomme
A few years ago, G. Oberdieck conjectured a multiple cover fomula that determines the number of curves of fixed genus and degree passing through a configuration of points in an abe…