Results 31 to 40 of about 6,594 (92)

Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibres

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and at certain non‐generic stability conditions via a study of collapsing fibres in the associated variation of GIT map, unifying and generalising earlier results of the ...
Lukas Bertsch, Ádám Gyenge, Balázs Szendrői   +2 more
wiley   +1 more source

Three lectures on Algebraic Microlocal Analysis [PDF]

, 2013
These three lectures present some fundamental and classical aspects of microlocal analysis. Starting with the Sato's microlocalization functor and the microsupport of sheaves, we then construct a microlocal analogue of the Hochschild homology for sheaves
Schapira, Pierre
core   +1 more source

High‐abundance and low‐cost anodes for sodium‐ion batteries

Carbon Neutralization, Volume 3, Issue 6, Page 954-995, November 2024.
Sodium‐ion batteries are now being considered as the most appealing alternatives to their lithium‐ion battery counterparts for large scale applications, which required thorough consideration of the cost factor. This review firstly summarized advanced anode materials for SIBs containing high abundance and low‐cost elements and various improved ...
Yichuan Dou, Lanling Zhao, Yao Liu, Zidong Zhang, Yiming Zhang, Ruifeng Li, Xiaoqian Liu, Ya Zhou, Jiazhao Wang, Jun Wang   +9 more
wiley   +1 more source

Birational invariants and A^1-connectedness [PDF]

, 2011
We study some aspects of the relationship between A^1-homotopy theory and birational geometry. We study the so-called A^1-singular chain complex and zeroth A^1-homology sheaf of smooth algebraic varieties over a field k.
Asok, Aravind
core  

The fundamental pro-groupoid of an affine 2-scheme

, 2012
A natural question in the theory of Tannakian categories is: What if you don't remember $\Forget$? Working over an arbitrary commutative ring $R$, we prove that an answer to this question is given by the functor represented by the \'etale fundamental ...
A Joyal, Alex Chirvasitu, B Toën, B Toën, B Toën, C Blohmann, EM Friedlander, F Borceux, F Borceux, F Borceux, F Borceux, F Ulmer, F William Lawvere, FEJ Linton, GM Kelly, GM Kelly, Gregory Maxwell Kelly, H-E Porst, HF Kreimer, J Adámek, J Adámek, J Adámek, J Adámek, J Bénabou, J Lurie, JS Milne, K-H Ulbrich, M Artin, P Deligne, P Etingof, P Etingof, P Gabriel, P Gabriel, P Nuss, R Street, S Mac Lane, S Mac Lane, T Brzezinski, T Leinster, Theo Johnson-Freyd, X Tang   +40 more
core   +1 more source

An interdisciplinary overview of levee setback benefits: Supporting spatial planning and implementation of riverine nature‐based solutions

WIREs Water, Volume 11, Issue 6, November/December 2024.
Levee setbacks are an important form of nature‐based solution for managing large rivers and their diverse ecosystem services. This image summarizes many of the important considerations to take into account when selecting sites for implementing levee setbacks.
Charles B. van Rees, Matthew L. Chambers, Angela J. Catalano, Daniel X. Buhr, Andressa Vianna Mansur, Damon M. Hall, Alec Nelson, Burton Suedel, Robert J. Hawley, Brian Bledsoe, Nate Nibbelink   +10 more
wiley   +1 more source

Generalized Fourier-Mukai Transforms

, 1996
The paper sets out a generalized framework for Fourier-Mukai transforms and illustrates their use via vector bundle transforms. A Fourier-Mukai transform is, roughly, an isomorphism of derived categories of (sheaves) on smooth varieties X and Y.
Maciocia, Antony
core   +1 more source

From 3D point‐cloud data to explainable geometric deep learning: State‐of‐the‐art and future challenges

WIREs Data Mining and Knowledge Discovery, Volume 14, Issue 6, November/December 2024.
From point‐cloud data to explainable geometric learning. Abstract We present an exciting journey from 3D point‐cloud data (PCD) to the state of the art in graph neural networks (GNNs) and their evolution with explainable artificial intelligence (XAI), and 3D geometric priors with the human‐in‐the‐loop. We follow a simple definition of a “digital twin,”
Anna Saranti, Bastian Pfeifer, Christoph Gollob, Karl Stampfer, Andreas Holzinger   +4 more
wiley   +1 more source

Nonclassical Nucleation and Crystallization of LiNbO3 Nanoparticles from the Aqueous Solvothermal Alkoxide Route

Small, Volume 20, Issue 13, March 28, 2024.
The exact molecular reaction pathway and crystallization mechanisms of LiNbO3 nanoparticles under solvothermal conditions are derived. A nonclassical nucleation scheme is demonstrated after the identification of new octanuclear complexes. Upon heating, a frustrated aggregation‐mediated crystallization process is evidenced leading to nanocrystals of ...
Florian Riporto, Ameni Dhouib, Adrian Gheata, Sandrine Beauquis, Emilie Molina, Simon Guené‐Girard, Christine Galez, Aurélien Bornet, Isabelle Gautier‐Luneau, Sandrine Gerber‐Lemaire, Virginie Monnier, Ronan Le Dantec, Yannick Mugnier   +12 more
wiley   +1 more source

Perverse sheaves on Artin stacks

, 2006
In this paper we develop the theory of perverse sheaves on Artin stacks continuing the study in "The six operations for sheaves on Artin stacks I: Finite Coefficients" and "The six operations for sheaves on Artin stacks II: Adic Coefficients" (math.AG ...
Laszlo, Yves, Olsson, Martin
core   +2 more sources