Let $ A=(a_1,\ldots, a_n) $ be a vector of integers which sum to $ k (2g-2+ n) $. The double
ramification cycle $\mathsf {DR} _ {g, A}\in\mathsf {CH}^ g (\mathcal {M} _ {g, n}) $ on the …

In this paper we describe compactified universal Jacobians, ie, compactifications of the
moduli space of line bundles on smooth curves obtained as moduli spaces of rank $1 …

For each universal genus‐g polarization μ of degree d, we construct a universal tropical
Jacobian J μ, gtrop as a generalized cone complex over the moduli space of stable pointed …

Let g and n be nonnegative integers and A=(a 0,…, an) a sequence of n+ 1 integers
summing up to d. Let M‾ g, n+ 1 be the moduli space of (n+ 1)-pointed stable curves of …

In this paper we describe compactifications of the universal Jacobian stack of line bundles
over smooth curves obtained by considering open substacks of the moduli stack of torsion …

Using the compactified universal jacobian over the moduli space of stable marked curves,
we give an expression in terms of natural classes of the zero section of in the (rational) …

We introduce and study polystable divisors on a tropical curve, which are the tropical
analogue of polystable torsion‐free rank‐1 sheaves on a nodal curve. We construct a …

We introduce a geometric refinement of Gromov-Witten invariants for $\mathbb P^ 1$-
bundles relative to the natural fiberwise boundary structure. We call these refined invariant …

We show that the vanishing of the-st power of the theta divisor in the cohomology and Chow
rings of the universal abelian variety implies, by pulling back along a collection of Abel …

In the present paper we consider the following question: does there exist a Néron model for
families of Jacobians of curves with sections? By applying a construction of the author of …