Results 211 to 220 of about 82,482 (245)
Multi-temporal analysis of mountainous terrain changes based on UAV images and point cloud data. [PDF]
Hou TC +6 more
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Disaster Storylines and Knowledge Graphs from Global News with Large Language Models and Retrieval-Augmented Generation. [PDF]
Ronco M +7 more
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Length of triangulated categories
Advances in MathematicsWe introduce the notion of composition series of triangulated categories, which generalizes full exceptional sequences. The lengths of composition series yield invariants for triangulated categories.
Yuki Hirano, Martin Kalck
exaly +2 more sources
Generation time for biexact functors and Koszul objects in triangulated categories
This paper concerns the generation time that measures the number of cones necessary to obtain an object in a triangulated category from another object. This invariant is called level.
Janina C. Letz, Marc Stephan
semanticscholar +4 more sources
Derived and Triangulated Categories
Lecture Notes in Mathematics, 2009A category is said to be small if the classes of both its objects and its morphisms are sets. A category that is not small is said to be large. A category ℭ is locally small if for any pair of objects A and B of ℭ the class Homℭ(A,B) is a set. Many of the categories we will consider in this book (the categories of sets, groups, rings, modules over a ...
Joseph Lipman +2 more
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Parametrizing recollement data for triangulated categories
We give a general parametrization of all the recollement data for a triangulated category with a set of generators. From this we deduce a characterization of when a ℵ0-perfectly generated (or aisled) triangulated category is a recollement of triangulated
Pedro Nicolas, Manuel Saorin
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Homologically finite-dimensional objects in triangulated categories
Selecta Mathematica, 2022In this paper we investigate homologically finite-dimensional objects in the derived category of a given small dg-enhanced triangulated category. Using these we define reflexivity, hfd-closedness, and the Gorenstein property for triangulated categories ...
A. Kuznetsov, Evgeny Shinder
semanticscholar +1 more source

