The concept of an abelian DG-category, introduced by the first-named author in Positselski
(Exact DG-categories and fully faithful triangulated inclusion functors. arXiv: 2110.08237 …

Given a gauged linear sigma model (GLSM) TX realizing a projective variety X in one of its
phases, ie its quantum Kähler moduli has a geometric point, we propose an extended GLSM …

For a left coherent ring A with every left ideal having a countable set of generators, we show
that the coderived category of left A-modules is compactly generated by the bounded …

Semi-Infinite Geometry is a theory of" doubly infinite-dimensional" geometric or topological
objects. In this book the author explains what should be meant by an algebraic variety of …

Principal affine open subsets in affine schemes are an important tool in the foundations of
algebraic geometry. Given a commutative ring R, R-modules built from the rings of functions …

Relative Nonhomogeneous Koszul Duality Page 1 Relative Nonhomogeneous Koszul Duality
Leonid Positselski Frontiers in Mathematics Page 2 Page 3 Frontiers in Mathematics Advisory …

The triangulated tensor structure on the coderived category D co (X–qcoh) of quasi-coherent
sheaves on a Noetherian scheme with a dualizing complex D• was introduced in Murfet (The …

Unlike for schemes, a dualizing complex on an ind-Noetherian ind-scheme is naturally
viewed as an object of the coderived category of quasi-coherent torsion sheaves. In fact, a …

Let 𝔛 be an ind-semi-separated ind-Noetherian ind-scheme, and let τ: 𝔛′→ 𝔛 be a smooth
affine morphism of finite type. Let π′: 𝔜→ 𝔛′ be a flat affine morphism, and let π: 𝔜→ 𝔛 …

0.0 What Is This Book About? The aim of this book is to extend the semiinfinite homological
algebra, as developed in the author's monograph [43], to the realm of algebraic geometry …