Higher semiadditive algebraic K-theory and redshift

S Ben-Moshe, TM Schlank - Compositio Mathematica, 2024 - cambridge.org
Higher semiadditive algebraic K-theory and redshift Page 1 Higher semiadditive algebraic K-theory
and redshift Shay Ben-Moshe and Tomer M. Schlank Compositio Math. 160 (2024), 237–287 …

Global critical chart for local Calabi–Yau threefolds

T Kinjo, N Masuda - International Mathematics Research Notices, 2024 - academic.oup.com
In this paper, we investigate Keller's deformed Calabi–Yau completion of the derived
category of coherent sheaves on a smooth variety. In particular, for an-dimensional smooth …

A Coherent Categorification of the Asymptotic Affine Hecke Algebra

OY Propp - 2023 - dspace.mit.edu
Kazhdan–Lusztig categorified the affine Hecke algebra H in terms of equivariant coherent
sheaves on the Steinberg variety. Recently, Ben-Zvi–Chen–Helm–Nadler have applied the …

Relative de Rham theory on Nash manifolds

A Aizenbud, S Carmeli - arXiv preprint arXiv:2105.12417, 2021 - arxiv.org
For a Nash submersion $\phi\colon X\to Y $, we study the complex $\mathcal {SDR}(\phi) $
of Schwartz sections of the relative de Rham complex of $\phi $. We define the notion of …

Completions and Terminal Monads

ED Farjoun, SO Ivanov - arXiv preprint arXiv:2302.14474, 2023 - arxiv.org
We consider the terminal monad among those preserving the objects of a subcategory, and
in particular preserving the image of a monad. Several common monads are shown to be …

The -Categorical Reflection Theorem and Applications

S Ragimov, TM Schlank - arXiv preprint arXiv:2207.09244, 2022 - arxiv.org
In this paper we prove an $\infty $-categorical version of the reflection theorem of Ad\'amek-
Rosick\'y. Namely, that a full subcategory of a presentable $\infty $-category which is closed …