works on

From the 1 of 5 linked papers with an AI index.

activity
20242026
collaborators

5 papers

math.AG2026

On the Feyzbakhsh-Thomas programme for Fano -folds

Ivan Karpov, Miguel Moreira

The paper derives formulas that express Donaldson‑Thomas invariants counting rank‑r Gieseker‑semistable sheaves on certain Fano threefolds in terms of invariants for rank‑0, pure‑d…

math.AG2026

Rationality and symmetry of stable pairs generating series of Fano 3-folds

Ivan Karpov, Miguel Moreira

The generating series of descendent invariants of stable pairs on 3-folds is conjectured to be rational and to satisfy a symmetry. We prove this conjectur…

math.AG2025

On the intersection theory of moduli spaces of parabolic bundles

Miguel Moreira

This paper concerns the intersection numbers of tautological classes on moduli spaces of parabolic bundles on a smooth projective curve. We show that such intersection numbers are…

math.AG2024

On the Chern filtration for the moduli of bundles on curves

Woonam Lim, Miguel Moreira, Weite Pi

We introduce and study the Chern filtration on the cohomology of the moduli of bundles on curves. This can be viewed as a natural cohomological invariant defined via tautological c…

math.AG2024

Cohomology rings of the moduli of one-dimensional sheaves on the projective plane

Yakov Kononov, Woonam Lim, Miguel Moreira +1

We initiate a systematic study on the cohomology rings of the moduli stack of semistable one-dimensional sheaves on the projective plane. We introduce a set o…