Results 1 to 10 of about 37 (37)
Curve counting and S-duality [PDF]
Épijournal de Géométrie Algébrique, 2023 We work on a projective threefold $X$ which satisfies the Bogomolov-Gieseker conjecture of Bayer-Macr\`i-Toda, such as $\mathbb P^3$ or the quintic threefold.
Soheyla Feyzbakhsh, Richard P. Thomas
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The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties [PDF]
Épijournal de Géométrie Algébrique, 2021 We show that all reduced closed subschemes of projective space that have a Cohen-Macaulay graded coordinate ring are of wild Cohen-Macaulay type, except for a few cases which we completely classify.
Daniele Faenzi, Joan Pons-Llopis
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Bridgeland Stability Conditions on Fano Threefolds [PDF]
Épijournal de Géométrie Algébrique, 2017 We show the existence of Bridgeland stability conditions on all Fano threefolds, by proving a modified version of a conjecture by Bayer, Toda, and the second author. The key technical ingredient is a strong Bogomolov inequality, proved recently by Chunyi
Marcello Bernardara +3 more
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Corrigendum to ‘Endoscopy for Hecke categories, character sheaves and representations’
Forum of Mathematics, Pi, 2021 We fix an error on a $3$ -cocycle in the original version of the paper ‘Endoscopy for Hecke categories, character sheaves and representations’. We give the corrected statements of the main results.
George Lusztig, Zhiwei Yun
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Higher rank sheaves on threefolds and functional equations [PDF]
Épijournal de Géométrie Algébrique, 2019 We consider the moduli space of stable torsion free sheaves of any rank on a smooth projective threefold. The singularity set of a torsion free sheaf is the locus where the sheaf is not locally free. On a threefold it has dimension $\leq 1$.
Amin Gholampour, Martijn Kool
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ENDOSCOPY FOR HECKE CATEGORIES, CHARACTER SHEAVES AND REPRESENTATIONS
Forum of Mathematics, Pi, 2020 For a reductive group $G$ over a finite field, we show that the neutral block of its mixed Hecke category with a fixed monodromy under the torus action is monoidally equivalent to the mixed Hecke category of the corresponding endoscopic group $H$ with ...
GEORGE LUSZTIG, ZHIWEI YUN
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Higher traces, noncommutative motives, and the categorified Chern character [PDF]
, 2017 We propose a categorification of the Chern character that refines earlier work of Toën and Vezzosi and of Ganter and Kapranov. If X is an algebraic stack, our categorified Chern character is a symmetric monoidal functor from a category of mixed ...
Scherotzke, Sarah +8 more
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On Weil homomorphism in locally free sheaves over structured spaces
Demonstratio Mathematica, 2017 Inspired by the work of Heller and Sasin [1], we construct in this paper Weil homomorphism in a locally free sheaf W of ϕ-fields [2] over a structured space.
Falkiewicz Ewa, Sasin Wiesław
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Some remarks on limit mixed Hodge structures and spectrum
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this note we clarify some subtle points on the limit mixed Hodge structures and on the spectrum. These are more or less well-known to the specialists, but do not seem to be stated explicitly in the literature.
Dimca Alexandru, Saito Morihiko
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Hilbert Schemes Of Points On Some K3 Surfaces And Gieseker Stable Bundles
, 1996 . By using a Fourier-Mukai transform for sheaves on K3 surfaces we show that for a wide class of K3 surfaces X the Hilbert schemes Hilb n (X) can be identified for all n ? 1 with moduli spaces of Gieseker stable vector bundles on X. We also introduce a
Antony Maciocia +4 more
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