Achim Napame

activity

20212025

collaborators

5 papers

math.AG2025

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups

Rémi Delloque, Achim Napame, Carlo Scarpa +1

We introduce the notion of P-critical connections for hermitian holomorphic vector bundles over compact balanced manifolds: integrable hermitian connections whose curvature solves…

math.AG2023

Toric sheaves and flips

Andrew Clarke, Achim Napame, Carl Tipler

Any toric flip naturally induces an equivalence between the associated categories of equivariant reflexive sheaves, and we investigate how slope stability behaves through this func…

math.AG2022

Toric sheaves, stability and fibrations

Achim Napame, Carl Tipler

For an equivariant reflexive sheaf over a polarised toric variety, we study slope stability of its reflexive pullback along a toric fibration. Examples of such fibrations include e…

math.AG2022

Classification of log smooth toric del Pezzo pairs

Achim Napame

We give a description of all log-Fano pairs (X, D) where X is a smooth toric surface and D a reduced simple normal crossing divisor such that the pair (X, D) is equivariant.

math.AG2021

Stability of Equivariant Logarithmic Tangent Sheaves on Toric Varieties of Picard Rank Two

Achim Napame

For an equivariant log pair $(X, D)$ where $X$ is a normal toric variety and $D$ a reduced Weil divisor, we study slope-stability of the logarithmic tangent sheaf $\mathcal{T}_{X}(…