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Relevant bibliographies by topics / Beilinson spectral sequence

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Academic literature on the topic 'Beilinson spectral sequence'

Author: Grafiati

Published: 14 March 2023

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Journal articles on the topic "Beilinson spectral sequence"

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Braunling, Oliver, and Jesse Wolfson. "Hochschild coniveau spectral sequence and the Beilinson residue." Pacific Journal of Mathematics 300, no. 2 (2019): 257–329. http://dx.doi.org/10.2140/pjm.2019.300.257.

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Suslin, A. A. "The Beilinson spectral sequence for theK-theory of the field of real numbers." Journal of Soviet Mathematics 63, no. 1 (1993): 57–58. http://dx.doi.org/10.1007/bf01103082.

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Bondarko, M. V. "Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura." Journal of the Institute of Mathematics of Jussieu 8, no. 1 (2008): 39–97. http://dx.doi.org/10.1017/s147474800800011x.

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AbstractWe describe explicitly the Voevodsky's triangulated category of motives $\operatorname{DM}^{\mathrm{eff}}_{\mathrm{gm}}$ (and give a ‘differential graded enhancement’ of it). This enables us to able to verify that DMgm ℚ is (anti)isomorphic to Hanamura's $\mathcal{D}$(k).We obtain a description of all subcategories (including those of Tate motives) and of all localizations of $\operatorname{DM}^{\mathrm{eff}}_{\mathrm{gm}}$. We construct a conservative weight complex functor $t:\smash{\operatorname{DM}^{\mathrm{eff}}_{\mathrm{gm}}}\to\smash{K^{\mathrm{b}}(\operatorname{Chow}^{\mathrm{e

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Costa, L., and R. M. Miró-Roig. "m-Blocks Collections and Castelnuovo-mumford Regularity in multiprojective spaces." Nagoya Mathematical Journal 186 (2007): 119–55. http://dx.doi.org/10.1017/s0027763000009387.

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AbstractThe main goal of the paper is to generalize Castelnuovo-Mumford regularity for coherent sheaves on projective spaces to coherent sheaves on n-dimensional smooth projective varieties X with an n-block collection B which generates the bounded derived category To this end, we use the theory of n-blocks and Beilinson type spectral sequence to define the notion of regularity of a coherent sheaf F on X with respect to the n-block collection B. We show that the basic formal properties of the Castelnuovo-Mumford regularity of coherent sheaves over projective spaces continue to hold in this new

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Bondarko, Mikhail V. "Mixed motivic sheaves (and weights for them) exist if ‘ordinary’ mixed motives do." Compositio Mathematica 151, no. 5 (2015): 917–56. http://dx.doi.org/10.1112/s0010437x14007763.

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The goal of this paper is to prove that if certain ‘standard’ conjectures on motives over algebraically closed fields hold, then over any ‘reasonable’ scheme $S$ there exists a motivic$t$-structure for the category $\text{DM}_{c}(S)$ of relative Voevodsky’s motives (to be more precise, for the Beilinson motives described by Cisinski and Deglise). If $S$ is of finite type over a field, then the heart of this $t$-structure (the category of mixed motivic sheaves over $S$) is endowed with a weight filtration with semisimple factors. We also prove a certain ‘motivic decomposition theorem’ (assuming

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Dissertations / Theses on the topic "Beilinson spectral sequence"

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Sanna, Giangiacomo. "Rational curves and instantons on the Fano threefold Y_5." Doctoral thesis, SISSA, 2014. http://hdl.handle.net/20.500.11767/3867.

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This thesis is an investigation of the moduli spaces of instanton bundles on the Fano threefold Y_5 (a linear section of Gr(2,5)). It contains new proofs of classical facts about lines, conics and cubics on Y_5, and about linear sections of Y_5. The main original results are a Grauert-Mülich theorem for the splitting type of instantons on conics, a bound to the splitting type of instantons on lines and an SL_2-equivariant description of the moduli space in charge 2 and 3. Using these results we prove the existence of a unique SL_2-equivariant instanton of minimal charge and we show that

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Books on the topic "Beilinson spectral sequence"

1

Huybrechts, D. Spherical and Exceptional Objects. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0008.

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Spherical objects — motivated by considerations in the context of mirror symmetry — are used to construct special autoequivalences. Their action on cohomology can be described precisely, considering more than one spherical object often leads to complicated (braid) groups acting on the derived category. The results related to Beilinson are almost classical. Section 3 of this chapter gives an account of the Beilinson spectral sequence and how it is used to deduce a complete description of the derived category of the projective space. This will use the language of exceptional sequences and semi-o

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