Related papers: Toric topology

We survey various attempts to transport the ultraproduct construction from the realm of model theory to that of general topology.

The topological classification of all known non-magnetic crystalline compounds is now complete, revealing thousands of new candidate topological materials waiting to be explored in the lab.

This is a survey article on the recent development of "stringy geometry and topology of orbifolds", a new subject of mathematics motivated by orbifold string theory.

We discuss selected topics on the topology of moduli spaces of curves and maps, emphasizing their relation with Gromov--Witten theory and integrable systems.

Some projective wonderful models for the complement of a toric arrangement in a n-dimensional algebraic torus T were constructed in [3]. In this paper we describe their integer cohomology rings by generators and relations.

In this paper we construct a spectral sequence computing a modified version of morphic cohomology of a toric variety (even when it is singular) in terms of combinatorial data coming from the fan of the toric variety.

We study $G$-equivariant birational geometry of toric varieties, where $G$ is a finite group.

We present an improved version of the cyclic covering trick, which works inside the category of toroidal embeddings

We give some detailed numerical information about extremal metrics on four different toric surfaces. These are sample of many other cases which can be treated using a computer programme outlined in the paper.

In this note, we discuss the interactions between differential topology and isoparametric foliations, surveying some recent progress and open problems.

We explore several variations on the recently discovered phenomena of murmurations for elliptic curves and modular forms.

We survey and analyze different ways in which bornologies, coarse structures and uniformities on a group agree with the group operations.

This is a survey paper about a selection of results in complex algebraic geometry that appeared in the recent and less recent litterature, and in which rational homogeneous spaces play a prominent r{\^o}le. This selection is largely…

The study of topological information of spatial objects has for a long time been a focus of research in disciplines like computational geometry, spatial reasoning, cognitive science, and robotics. While the majority of these researches…

New types of maximal symplectic partial spreads are constructed.

We investigate topological properties of torsors in algebraic geometry over adelic rings.

We introduce the tautological rings of moduli stacks of twisted curves and establish some basic properties.

We prove a conjecture of Shokurov which characterises toric varieties using log pairs.

In this note we use techniques in the topology of 2-complexes to recast some tools that have arisen in the study of planar tiling questions. With spherical pictures we show that the tile counting group associated to a set $T$ of tiles and a…

Survey article on the geometry of spherical varieties. Invited survey for Transformation Groups.