Derived moduli of complexes and derived Grassmannians

Natale, Carmelo Di

doi:10.48550/arxiv.1407.5900

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The Fiorenza-manetti Model For the Local Period Maps1

Filtered Cochain Complexes1

Introduction1

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2018

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Cited by 3 publications

(3 citation statements)

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“…Apart from the technicalities, the main contribution of [16] is the fact that the "correct" period domain for a compact Kähler manifold X is not a subset of the product of the Grassmannians i Grass(H i (X, C)) but the Grassmannian of the entire de Rham complex (A * , * X , d), which is a completely different object in the framework of derived geometry and carries a richer algebro-geometric structure, cf. [10,11].…”

Section: The Fiorenza-manetti Model For the Local Period Mapsmentioning

confidence: 99%

Algebraic models of local period maps and Yukawa algebras

Bandiera

Manetti

2018

Lett Math Phys

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Section: The Fiorenza-manetti Model For the Local Period Mapsmentioning

confidence: 99%

Algebraic models of local period maps and Yukawa algebras

Bandiera

Manetti

2018

Lett Math Phys

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“…Suppose A is a filtered algebra, and let A " F A´mod. Using the examples from the previous section, we define a model structure on Ch A following [15].…”

Section: Filtered Cochain Complexesmentioning

confidence: 99%

Radically filtered quasi-hereditary algebras and rigidity of tilting modules

Hazi¹

2017

Math. Proc. Camb. Phil. Soc.

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Abstract. Let A be a quasi-hereditary algebra. We prove that in many cases, a tilting module is rigid (i.e. has identical radical and socle series) if it does not have certain subquotients whose composition factors extend more than one layer in the radical series or the socle series. We apply this theorem to give new results about the radical series of some tilting modules for SL 4 pKq, where K is a field of positive characteristic.

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“…If V is a complex of vector spaces and F ⊆ V is a subcomplex such that the natural map H * (F ) → H * (V ) is injective, then the the corresponding "classical" moduli space is unobstructed although in general it has a nontrivial obstruction space, cf. [6].…”

Section: Introductionmentioning

confidence: 99%