arXiv math.AG Algebraic Geometry
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arXiv math.AG Algebraic Geometry
@mathAGb
Unofficial bot by @vela with github.com/so-okada/twXiv. @mathACb @mathAPb @mathATb @mathCAbot @mathCObot @mathCTbot @mathCVb @mathDGb @mathDSb @mathFAbot ...
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    Jan 15, 2025
    Peter Scholze: Geometrization of the local Langlands correspondence, motivically arxiv.org/abs/2501.07944 arxiv.org/pdf/2501.07944 arxiv.org/html/2501.07944
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    Geometrization of the local Langlands correspondence, motivically
    Based on the formalism of rigid-analytic motives of Ayoub--Gallauer--Vezzani, we extend our previous work with Fargues from $\ell$-adic sheaves to motivic sheaves. In particular, we prove...
    97K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    Oct 31, 2025
    Peter Scholze: Six-Functor Formalisms arxiv.org/abs/2510.26269 arxiv.org/pdf/2510.26269 arxiv.org/html/2510.26269
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    Six-Functor Formalisms
    These are lecture notes for a course in Winter 2022/23, updated and completed in October 2025. The goal of the lectures is to present some recent developments around six-functor formalisms, in...
    33K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    Jan 24, 2025
    Yeuk Hay Joshua Lam, Daniel Litt: Algebraicity and integrality of solutions to differential equations arxiv.org/abs/2501.13175 arxiv.org/pdf/2501.13175 arxiv.org/html/2501.13175
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    Algebraicity and integrality of solutions to differential equations
    We formulate a conjecture classifying algebraic solutions to (possibly non-linear) algebraic differential equations, in terms of the primes appearing in the denominators of the coefficients of...
    451K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    May 7, 2024
    Dennis Gaitsgory, Sam Raskin: Proof of the geometric Langlands conjecture I: construction of the functor arxiv.org/abs/2405.03599 arxiv.org/pdf/2405.03599
    5.4K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    Apr 1, 2025
    Denis-Charles Cisinski: Independence of $\ell$ arxiv.org/abs/2503.24033 arxiv.org/pdf/2503.24033 arxiv.org/html/2503.24033
    32K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    May 19, 2025
    Kirti Joshi: Final Report on the Mochizuki-Scholze-Stix Controversy arxiv.org/abs/2505.10568 arxiv.org/pdf/2505.10568 arxiv.org/html/2505.10568
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    Final Report on the Mochizuki-Scholze-Stix Controversy
    This report provides my mathematical findings regarding the Mochizuki-Scholze-Stix controversy surrounding Mochizuki's Inter-Universal Teichmüller Theory.
    41K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    Apr 3, 2025
    Akira Ishii, Shu Nimura: Derived McKay correspondence for real reflection groups of rank three arxiv.org/abs/2504.01387 arxiv.org/pdf/2504.01387 arxiv.org/html/2504.01387
    5.5K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    Aug 8, 2025
    Ludmil Katzarkov, Maxim Kontsevich, Tony Pantev, Tony Yue YU: Birational Invariants from Hodge Structures and Quantum Multiplication arxiv.org/abs/2508.05105 arxiv.org/pdf/2508.05105 arxiv.org/html/2508.05105
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    Birational Invariants from Hodge Structures and Quantum Multiplication
    We introduce new invariants of smooth complex projective varieties, called Hodge atoms. Their construction combines rational Gromov-Witten invariants with classical Hodge theory and relies on the...
    13K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    May 4, 2022
    Alain Connes, Caterina Consani: Riemann-Roch for $\overline{\text{Spec}\mathbb Z}$ arxiv.org/abs/2205.01391 arxiv.org/pdf/2205.01391
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    Riemann-Roch for $\overline{\text{Spec}\mathbb Z}$
    We prove a Riemann-Roch theorem of an entirely novel nature for divisors on the Arakelov compactification of the algebraic spectrum of the integers. This result relies on the introduction of three...
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    Jul 16, 2024
    Lev Borisov: Adventures in algebraic geometry arxiv.org/abs/2407.10041 arxiv.org/pdf/2407.10041
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    Adventures in algebraic geometry
    These notes are loosely based on an introductory course in algebraic geometry given at Rutgers University in Spring of 2024. We introduce some relatively advanced topics at the expense of the...
    11K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    Feb 7, 2025
    Tatsuki Kuwagaki, Takahiro Saito: Hodge microsheaves on cotangent bundles and plumbings arxiv.org/abs/2502.04148 arxiv.org/pdf/2502.04148 arxiv.org/html/2502.04148
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    Hodge microsheaves on cotangent bundles and plumbings
    We introduce and study the category of Hodge microsheaves which is a Hodge-version of the category of microsheaves for a certain class of holomorphic exact symplectic manifolds. We then study...
    5.6K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    Nov 4, 2025
    Paul Immanuel: Incarnations of the Fourier Transform in Algebraic Geometry arxiv.org/abs/2511.00001 arxiv.org/pdf/2511.00001 arxiv.org/html/2511.00001
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    Incarnations of the Fourier Transform in Algebraic Geometry
    An exploration into the uses of the Fourier transform in the areas of algebraic and arithmetic geometry. In particular this treats the topics of Banach-Colmez spaces, for which an introduction to...
    2.4K
  • user avatar
    arXiv math.AG Algebraic Geometry
    @mathAGb
    May 7, 2025
    Tom Bridgeland, Helge Ruddat: Clusters, twistors and stability conditions I arxiv.org/abs/2505.03433 arxiv.org/pdf/2505.03433 arxiv.org/html/2505.03433
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    Clusters, twistors and stability conditions I
    We consider a quiver $Q$ of ADE type and use cluster combinatorics to define two complex manifolds $\mathcal S$ and $\mathcal L$. The space $\mathcal S$ can be identified with a quotient of the...
    1.7K
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    arXiv math.AG Algebraic Geometry
    @mathAGb
    Aug 18, 2025
    Ko Aoki, Tobias Barthel, Anish Chedalavada, Tomer Schlank, Greg Stevenson: Higher Zariski Geometry arxiv.org/abs/2508.11621 arxiv.org/pdf/2508.11621 arxiv.org/html/2508.11621
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    Higher Zariski Geometry
    We revisit the classical constructions of tensor-triangular geometry in the setting of stably symmetric monoidal idempotent-complete $\infty$-categories, henceforth referred to as 2-rings. In this...
    3.6K

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