scholarly journals DESINGULARIZATION OF BINOMIAL VARIETIES IN ARBITRARY CHARACTERISTIC. PART II: COMBINATORIAL DESINGULARIZATION ALGORITHM

2011 ◽  
Vol 63 (4) ◽  
pp. 771-794 ◽  
Author(s):  
R. Blanco
Keyword(s):  
Arbitrary Characteristic ◽  
Characteristic Part

scholarly journals VI-modules in non-describing characteristic, part II

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Rohit Nagpal
Keyword(s):  
Characteristic Zero ◽  
Complete Classification ◽  
Arbitrary Characteristic ◽  
Characteristic Part

Abstract We classify all irreducible generic VI {\mathrm{VI}} -modules in non-describing characteristic. Our result degenerates to yield a classification of irreducible generic FI {\mathrm{FI}} -modules in arbitrary characteristic. Equivalently, we provide a complete classification of irreducibles of admissible 𝐆𝐋 ∞ ⁢ ( 𝔽 q ) {\mathbf{GL}_{\infty}(\mathbb{F}_{q})} -representations in non-describing characteristic, which is new even in characteristic zero. This result degenerates to provide a complete classification of irreducibles of admissible S ∞ {S_{\infty}} -representations in arbitrary characteristic, which is new away from characteristic zero.

scholarly journals A remark on the Grothendieck-Lefschetz theorem about the Picard group

1978 ◽  
Vol 71 ◽  
pp. 169-179 ◽  
Author(s):  
Lucian Bădescu
Keyword(s):  
Algebraic Variety ◽  
Picard Group ◽  
Closed Field ◽  
Algebraically Closed Field ◽  
Arbitrary Characteristic ◽  
Lefschetz Theorem

Let K be an algebraically closed field of arbitrary characteristic. The term “variety” always means here an irreducible algebraic variety over K. The notations and the terminology are borrowed in general from EGA [4].

scholarly journals Impact of barriers on formation and development of urban transport network (case of South-West Moscow)

2020 ◽  
pp. 72-81
Author(s):  
G.G. Kamkin ◽  
Keyword(s):  
Traffic Flow ◽  
Urban Transport ◽  
The South ◽  
South West ◽  
Contact Barrier ◽  
Spatial Size ◽  
High Level ◽  
Characteristic Part ◽  
Equilibrium Growth

The article is devoted to the analysis of urban “highways-barriers” (on the example of the South-West of Moscow) – the largest highways and railways, which are characterized by a combination of a high level of contact and barrier functions. Three of their key functions are identified: limiting, stabilizing, function of unevenness and no equilibrium growth. The main transport hubs have been identified on the basis of which highway barriers are divided according to the degree of contact (barrier) into three categories. It is shown that, as a rule, the larger the spatial size of the highway-barrier, the larger its volume of traffic flow, however, there are many exceptions. In the South-West of Moscow, with a relatively even settlement, the placement of metro stations plays a key role in overcoming the barrier. On less significant highways, the role of metro stations in overcoming the barrier is especially great. In some areas, highways-barriers form barrier topological tiers. A key feature of the South-West of Moscow is the presence of two barrier tiers. Inside the first barrier tier there are objects that mark it as a special urban area. A characteristic part of the first tier is the approach to the periphery in the area where Leninsky Prospekt and Vernadsky Prospekt meet. The second barrier tier is quite small and in- cludes the area between the Cheremushkinskiy market and Profsoyuznaya street. The existing system of highways-barriers was formed by the time of registration in 1968–1970. South-West of Moscow as a whole and manifests itself at the present time.

scholarly journals Connected fields of arbitrary characteristic

1966 ◽  
Vol 5 (2) ◽  
pp. 177-184 ◽  
Author(s):  
Alan G. Waterman ◽  
George M. Bergman
Keyword(s):  
Arbitrary Characteristic

scholarly journals The number of idempotents in abelian group rings

Filomat ◽  
2012 ◽  
Vol 26 (4) ◽  
pp. 719-723
Author(s):  
Peter Danchev
Keyword(s):  
Abelian Group ◽  
Group Ring ◽  
Group Rings ◽  
Arbitrary Characteristic

Suppose that R is a commutative unitary ring of arbitrary characteristic and G is a multiplicative abelian group. Our main theorem completely determines the cardinality of the set id(RG), consisting of all idempotent elements in the group ring RG. It is explicitly calculated only in terms associated with R, G and their divisions. This result strengthens previous estimates obtained in the literature recently.

scholarly journals A COMPUTABLE FUNCTOR FROM GRAPHS TO FIELDS

2018 ◽  
Vol 83 (1) ◽  
pp. 326-348 ◽  
Author(s):  
RUSSELL MILLER ◽  
BJORN POONEN ◽  
HANS SCHOUTENS ◽  
ALEXANDRA SHLAPENTOKH
Keyword(s):  
Model Theory ◽  
Open Problem ◽  
Category Theory ◽  
Computable Model ◽  
Computable Model Theory ◽  
Arbitrary Characteristic ◽  
Faithful Functor ◽  
New Construction ◽  
Image Position ◽  
Countable Structure

AbstractFried and Kollár constructed a fully faithful functor from the category of graphs to the category of fields. We give a new construction of such a functor and use it to resolve a longstanding open problem in computable model theory, by showing that for every nontrivial countable structure${\cal S}$, there exists a countable field${\cal F}$of arbitrary characteristic with the same essential computable-model-theoretic properties as${\cal S}$. Along the way, we develop a new “computable category theory”, and prove that our functor and its partially defined inverse (restricted to the categories of countable graphs and countable fields) are computable functors.

Sign in / Sign up

Export Citation Format

Share Document