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Main Author:	Shimoji, Taito
Format:	Preprint
Published:	2025
Subjects:	Algebraic Geometry Algebraic Topology Differential Geometry 14F35, 11F23, 55P62
Online Access:	https://arxiv.org/abs/2510.09026
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Gradings on nilpotent Lie algebras associated with the nilpotent fundamental groups of smooth complex algebraic varieties
by: Shimoji, Taito
Published: (2025)

Making the motivic group structure on the endomorphisms of the projective line explicit
by: Barth, Viktor Balch, et al.
Published: (2023)

Motivic configurations on the line
by: Igieobo, John, et al.
Published: (2024)

Unipotent homotopy theory of schemes
by: Mondal, Shubhodip, et al.
Published: (2023)

Symmetric products of Galois-Maximal varieties
by: Orts, Javier
Published: (2024)

Constructing and calculating Adams operations on dualisable topological modular forms
by: Davies, Jack Morgan
Published: (2021)

Moderately discontinuous homology of real surfaces
by: Medeiros, Davi Lopes, et al.
Published: (2024)

Degrees of maps and multiscale geometry
by: Berdnikov, Aleksandr, et al.
Published: (2022)

Artin--Mazur formal groups and Milne duality via unipotent spectra
by: Mondal, Shubhodip, et al.
Published: (2025)

On compact complex surfaces with finite homotopy rank-sum
by: Biswas, Indranil, et al.
Published: (2024)

The motive of a variety with cellular resolution of singularities
by: Stonek, Bruno
Published: (2024)

Persistent homology of function spaces
by: Block, Jonathan, et al.
Published: (2025)

Punctured tubular neighborhoods and stable homotopy at infinity
by: Déglise, Frédéric, et al.
Published: (2022)

Hecke operators on topological modular forms
by: Davies, Jack Morgan
Published: (2022)

Polyhedral products in abstract and motivic homotopy theory
by: Hornslien, William
Published: (2024)

Towards the dual motivic Steenrod algebra in positive characteristic
by: Frankland, Martin, et al.
Published: (2017)

Highly connected non-formal Milnor fibers via polyhedral products
by: Suciu, Alexander I.
Published: (2026)

Exponential growth in the rational homology of free loop spaces and in torsion homotopy groups
by: Huang, Ruizhi, et al.
Published: (2021)

Nisnevich equivalences of local essentially smooth open pairs
by: Druzhinin, A. E., et al.
Published: (2023)

On Proper Descent of Smooth Affine Surfaces with Finite Homotopy Rank-Sum
by: Hajra, Buddhadev
Published: (2026)

Spaces of non-resultant systems of real bounded multiplicity determined by a toric variety
by: Kozlowski, Andrzej, et al.
Published: (2024)

Cohomology of type $B$ real permutohedral varieties
by: Yoon, Younghan
Published: (2025)

Quadratic Donaldson-Thomas invariants for $(\mathbb{P}^1)^3$ and some other smooth proper toric threefolds
by: Levine, Marc, et al.
Published: (2025)

Introduction to Framed Correspondences
by: Hoyois, Marc, et al.
Published: (2022)

Unstable motivic and real-étale homotopy theory
by: Asok, Aravind, et al.
Published: (2025)

Local systems in diffeology
by: Kuribayashi, Katsuhiko
Published: (2021)

Motivic homotopy theory and stable homotopy groups
by: Déglise, Frédéric
Published: (2025)

Compact holonomy $\mathrm{G}_2$ manifolds need not be formal
by: Martín-Merchán, Lucía
Published: (2024)

On the motivic Peterson conjecture
by: Kameko, Masaki
Published: (2017)

$q$-Hodge complexes and refined $\operatorname{TC}^-$
by: Meyer, Samuel, et al.
Published: (2024)

The cohomology rings of smooth toric varieties and quotients of moment-angle complexes
by: Franz, Matthias
Published: (2019)

$q$-de Rham cohomology and topological Hochschild homology over ku
by: Wagner, Ferdinand
Published: (2025)

Cohomology of smooth toric varieties: naturality
by: Franz, Matthias, et al.
Published: (2021)

Bigraded notions of formality and Aeppli-Bott-Chern-Massey products
by: Milivojevic, Aleksandar, et al.
Published: (2022)

On the Residue Sequence in Logarithmic Topological Cyclic Homology
by: Lundemo, Tommy
Published: (2025)

Morse theory of Euclidean distance functions from algebraic hypersurfaces
by: Guidolin, Andrea, et al.
Published: (2024)

On the Whitehead theorem for nilpotent motivic spaces
by: Asok, Aravind, et al.
Published: (2022)

On Galois categories and condensed contractible schemes
by: Mair, Catrin
Published: (2026)

On Lurie's theorem and applications
by: Davies, Jack Morgan
Published: (2020)

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