Algebraic Mixed Twistor $$\mathcal{D}$$ -Modules and Their Derived Category

2015 ◽  
pp. 413-463
Author(s):  
Takuro Mochizuki
Keyword(s):  
Derived Category ◽  
D Modules

A Primer of Algebraic D-Modules

1995 ◽  
Author(s):  
S. C. Coutinho
Keyword(s):  
D Modules

Holonomic D-Modules with Betti Structures

2014 ◽  
Vol 1 ◽  
pp. 1-205
Author(s):  
Takuro Mochizuki
Keyword(s):  
D Modules

scholarly journals Under the Umbrella: Goal-Derived Category Construction and Product Category Nesting

2021 ◽  
pp. 000183922110123
Author(s):  
Johnny Boghossian ◽  
Robert J. David
Keyword(s):  
Process Model ◽  
Product Category ◽  
Derived Category ◽  
The State ◽  
Product Attributes ◽  
Product Categories ◽  
Role Of The State ◽  
Market Intermediaries ◽  
Category Construction

Categories are organized vertically, with product categories nested under larger umbrella categories. Meaning flows from umbrella categories to the categories beneath them, such that the construction of a new umbrella category can significantly reshape the categorical landscape. This paper explores the construction of a new umbrella category and the nesting beneath it of a product category. Specifically, we study the construction of the Quebec terroir products umbrella category and the nesting of the Quebec artisanal cheese product category under this umbrella. Our analysis shows that the construction of umbrella categories can unfold entirely separately from that of product categories and can follow a distinct categorization process. Whereas the construction of product categories may be led by entrepreneurs who make salient distinctive product attributes, the construction of umbrella categories may be led by “macro actors” removed from the market. We found that these macro actors followed a goal-derived categorization process: they first defined abstract goals and ideals for the umbrella category and only subsequently sought to populate it with product categories. Among the macro actors involved, the state played a central role in defining the meaning of the Quebec terroir category and mobilizing other macro actors into the collective project, a finding that suggests an expanded role of the state in category construction. We also found that market intermediaries are important in the nesting of product categories beneath new umbrella categories, notably by projecting identities onto producers consistent with the goals of the umbrella category. We draw on these findings to develop a process model of umbrella category construction and product category nesting.

Introduction to D-modules

2010 ◽  
pp. 132-155
Author(s):  
Anton Leykin
Keyword(s):  
D Modules

Tempered solutions of D-modules

2016 ◽  
pp. 39-43
Author(s):  
Masaki Kashiwara ◽  
Pierre Schapira
Keyword(s):  
D Modules

scholarly journals Simple Helices on Fano Threefolds

2011 ◽  
Vol 54 (3) ◽  
pp. 520-526
Author(s):  
A. Polishchuk
Keyword(s):  
Braid Group ◽  
Vector Bundles ◽  
Coherent Sheaf ◽  
Derived Category ◽  
Fano Threefolds ◽  
Fano Threefold

AbstractBuilding on the work of Nogin, we prove that the braid groupB4acts transitively on full exceptional collections of vector bundles on Fano threefolds withb2= 1 andb3= 0. Equivalently, this group acts transitively on the set of simple helices (considered up to a shift in the derived category) on such a Fano threefold. We also prove that on threefolds withb2= 1 and very ample anticanonical class, every exceptional coherent sheaf is locally free.

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