arXiv subjects

Alejandra Rincón-Hidalgo

Publications and source records attributed to Alejandra Rincón-Hidalgo.

3 recordsLinked to original sources

arXiv2022

Non-symplectic automorphisms of order multiple of seven on K3 surfaces

In this paper we present a classification of non-symplectic automorphisms of K3 surfaces whose order is a multiple of seven by describing the topological type of their fixed locus. In the case of purely non-symplectic automorphisms, we provide new results for order 14 and alternative proofs for orders 21, 28 and 42, so that we can unify in the same paper the results on these automorphisms. For each of these orders we also consider not purely non-symplectic automorphisms and obtain a complete characterization of their fixed loci. Several results of our paper were obtained independently in a recent paper by Brandhorst and Hofmann, but the methods used in the two papers are completely different.

math.AG↗

arXiv2021

Moduli of Bridgeland semistable holomorphic triples

We prove that the moduli stack of Bridgeland semistable holomorphic triples over a curve of $g(C)\geq 1$ with a fixed numerical class and phase is an algebraic stack of finite type over $\mathbb{C}$ and admits a proper good moduli space. We prove that this also holds for a class of Bridgeland stability conditions on the category of holomorphic chains $\mathcal{T}_{C,n}$. In the process, we construct an explicit geometric realisation of $\mathcal{T}_{C,n}$ and prove the open heart property for noetherian hearts in admissible categories of $D^b(X)$, where $X$ is a smooth projective variety over $\mathbb{C}$, whose orthogonal complements are geometric triangulated categories.

math.AG↗

arXiv2020

Bridgeland stability conditions on the category of holomorphic triples over curves

We give a complete description of the Bridgeland stability manifold for the bounded derived category of holomorphic triples over a smooth projective curve of genus 1 as a connected, four dimensional complex manifold.

math.AG↗