7 papers
A correlated refinement of the double double ramification cycle
Thomas Blomme, Francesca Carocci, Ajith Urundolil Kumaran
Given a family of semi-stable curves together with two degree 0 line bundles, the double double ramification cycle measures the locus where both line bundles are trivial on the fib…
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…
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…
Chow theory of toric variety bundles
Francesca Carocci, Leonid Monin, Navid Nabijou
We describe the Chow homology and cohomology of toric variety bundles, with no restrictions on the singularities of the fibre. We present the ordinary and equivariant homologies as…
Tropical expansions and toric variety bundles
Francesca Carocci, Navid Nabijou
A tropical expansion is a degeneration of a toroidal embedding, induced by a polyhedral subdivision of its tropicalisation. Each irreducible component of a tropical expansion admit…
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…