scholarly journals Classification of rational surfaces of degree 11 and sectional genus 11 in ${\mathsf P}^{4}$

2009 ◽  
Vol 104 (1) ◽  
pp. 60 ◽  
Author(s):  
Hans-Christian Graf von Bothmer ◽  
Kristian Ranestad
Keyword(s):  
Hilbert Function ◽  
Hilbert Functions ◽  
Sectional Genus ◽  
Rational Surfaces ◽  
The Third

We use the BGG-correspondence to show that there are at most three possible Hilbert functions for smooth rational surfaces of degree 11 and sectional genus 11. Surfaces with one of these Hilbert functions have been classified by Popescu. The classification for a second one is done in this paper. For the third Hilbert function the classification is still open.

Classification of Algebraic Surfaces with Sectional Genus less than or Equal to Six. II: Ruled Surfaces with dim ϕKx⊗L(x) = l

1986 ◽  
Vol 38 (5) ◽  
pp. 1110-1121 ◽  
Author(s):  
Elvira Laura Livorni
Keyword(s):  
Line Bundle ◽  
Hyperplane Section ◽  
Ample Line Bundle ◽  
Rational Surface ◽  
Algebraic Surfaces ◽  
Sectional Genus ◽  
Rational Surfaces ◽  
Image Position ◽  
Smooth Hyperplane Section

Let L be a very ample line bundle on a smooth, connected, projective, ruled not rational surface X. We have considered the problem of classifying biholomorphically smooth, connected, projected, ruled, non rational surfaces X with smooth hyperplane section C such that the genus g = g(C) is less than or equal to six and dim where is the map associated to . L. Roth in [10] had given a birational classification of such surfaces. If g = 0 or 1 then X has been classified, see [8].If g = 2 ≠ hl,0(X) by [12, Lemma (2.2.2) ] it follows that X is a rational surface. Thus we can assume g ≦ 3.Since X is ruled, h2,0(X) = 0 andsee [4] and [12, p. 390].

scholarly journals Classification of algebraic non-ruled surfaces with sectional genus less than or equal to six

1985 ◽  
Vol 100 ◽  
pp. 1-9 ◽  
Author(s):  
Elvira Laura Livorni
Keyword(s):  
Line Bundle ◽  
Hyperplane Section ◽  
Ample Line Bundle ◽  
Ruled Surfaces ◽  
Sectional Genus ◽  
Rational Surfaces ◽  
Very Ample Line Bundle ◽  
Similar Classification

In this paper we have given a biholomorphic classification of smooth, connected, protective, non-ruled surfaces X with a smooth, connected, hyperplane section C relative to L, where L is a very ample line bundle on X, such that g = g(C) = g(L) is less than or equal to six. For a similar classification of rational surfaces with the same conditions see [Li].

scholarly journals Monomial ideals and the failure of the Strong Lefschetz property

2021 ◽  
Author(s):  
Nasrin Altafi ◽  
Samuel Lundqvist
Keyword(s):  
Lower Bound ◽  
Lower Bounds ◽  
Hilbert Function ◽  
Monomial Ideal ◽  
Monomial Ideals ◽  
Hilbert Functions ◽  
Lefschetz Property ◽  
Strong Lefschetz Property ◽  
Sharp Lower Bound

AbstractWe give a sharp lower bound for the Hilbert function in degree d of artinian quotients $$\Bbbk [x_1,\ldots ,x_n]/I$$ k [ x 1 , … , x n ] / I failing the Strong Lefschetz property, where I is a monomial ideal generated in degree $$d \ge 2$$ d ≥ 2 . We also provide sharp lower bounds for other classes of ideals, and connect our result to the classification of the Hilbert functions forcing the Strong Lefschetz property by Zanello and Zylinski.

ABOUT THE PROBLEM OF CLASSIFICATION OF THE CONCEPTS OF INFORMATICS STUDIED AT SECONDARY SCHOOL

2018 ◽  
pp. 4-7
Author(s):  
S. I. Zenko
Keyword(s):  
Secondary School ◽  
Foreign Language ◽  
Computer Science ◽  
Parts Of Speech ◽  
The Third ◽  
The Cross ◽  
Definition Of

The article raises the problem of classification of the concepts of computer science and informatics studied at secondary school. The efficiency of creation of techniques of training of pupils in these concepts depends on its solution. The author proposes to consider classifications of the concepts of school informatics from four positions: on the cross-subject basis, the content lines of the educational subject "Informatics", the logical and structural interrelations and interactions of the studied concepts, the etymology of foreign-language and translated words in the definition of the concepts of informatics. As a result of the first classification general and special concepts are allocated; the second classification — inter-content and intra-content concepts; the third classification — stable (steady), expanding, key and auxiliary concepts; the fourth classification — concepts-nouns, conceptsverbs, concepts-adjectives and concepts — combinations of parts of speech.

(A review). BRAUN-BLANQUETIA. Recueil de travaux de geobotanique / review of geobotanical monographs. Vol. 46. Centenaire de la phytosociologie. CAMERINO, 2010. 423 p.

2011 ◽  
pp. 143-147
Author(s):  
L. G. Naumova ◽  
V. B. Martynenko ◽  
S. M. Yamalov
Keyword(s):  
Plant Association ◽  
Northern Asia ◽  
The Third ◽  
International Botanical ◽  
International Botanical Congress ◽  
History Of ◽  
Definition Of

Date of «birth» of phytosociology (phytocenology) is considered to be 1910, when at the third International Botanical Congress in Brussels adopted the definition of plant association in the wording Including Flaó and K. Schröter (Flahault, Schröter, 1910; Alexandrov, 1969). The centenary of this momentous event in the history of phytocenology devoted to the 46th edition of the Yearbook «Braun-Blanquetia», which began to emerge in 1984 in Camerino (Italy) and it has a task to publish large geobotanical works. During the years of the publication of the Yearbook on its pages were published twice work of the Russian scientists — «The steppes of Mongolia» (Z. V. Karamysheva, V. N. Khramtsov. Vol. 17. 1995), and «Classification of continental hemiboreal forests of Northern Asia» (N. B. Ermakov in collaboration with English colleagues and J. Dring, J. Rodwell. Vol. 28. 2000).

To the study of early dementia

1902 ◽  
Vol 2 (9) ◽  
pp. 480-481
Author(s):  
V. Serbskiy
Keyword(s):  
Clinical Course ◽  
Mental Illnesses ◽  
Dementia Praecox ◽  
The Third ◽  
Current State ◽  
Early Dementia

In the first part of his article, the author examines the current state of the issue of secondary dementia and proves that a group of psychoses, known under the name secondary dementia, should be left in the classification of mental illnesses. The second part is devoted to the analysis of Krpelin's scholarship on dementia praecox, and the author fundamentally disagrees with many of the provisions of the latter. In the third part, the ethiology, clinical course and recognition of premature dementia are analyzed.

Latviešu metālmūzikas albumu nosaukumi

2021 ◽  
pp. 361-369
Author(s):  
Ingars Gusāns
Keyword(s):  
Current Situation ◽  
Creative Work ◽  
Distinctive Character ◽  
Literary Works ◽  
The Third ◽  
Metal Music ◽  
Local Character ◽  
The Subject ◽  
The Common

The aim of the study is to describe the titles of Latvian metal music albums, from the perspective of content, by identifying the common and distinctive character of the metallic music tradition, and perhaps even the local one. Of 241 album titles (data on Dec. 31, 2019), most are in English, some in French, Latin, Russian, some consisting of digits, and 69 titles in Latvian. These titles are the subject of the research. The main source is Encyclopaedia Metallum (www.metal-archives.com), which still does not reflect the current situation concerning Latvian metal music. Album titles in this study are viewed separately from album designs and song titles and are analysed from the perspective of content. The album title is an important part of the work that has been issued because it is an element that makes the audience/buyer pay attention to the album because it must not be forgotten that today the album is also an item that you want to sell. In general, it can be concluded that Latvian metal musicians, with their album titles in Latvian, are mostly following world trends, as evidenced by the integration in the researcher Deena Weinstein’s classification of Dionysian discourse and discourse on chaos. Most titles are more relevant to the discourse on chaos because the thematic circle of chaos is wider. Latvian mythology, along with history, is an up-to-date source for the creative work of bands that is responsible for the local feeling of the titles. A large enough number are titles that are difficult to fit in the Weinstein’s division and form the third group with philosophical titles and simply all sorts of titles. If the philosophical titles follow the world’s trends, the simple titles include the names of the events, tributes, and the titles of literary works, which give them a local character.

Classification of Au Myths

1972 ◽  
Vol os-19 (5) ◽  
pp. 214-218
Author(s):  
David Scorza
Keyword(s):  
Papua New Guinea ◽  
New Guinea ◽  
Older Men ◽  
The Third ◽  
Crosscultural Communication

Folklore among the Au of Papua New Guinea takes three forms: Tipiitim Tipiir, tales told the ancestors by the spirits; Tipiitim Herwe, tales invented by the ancestors; and Him, tales invented by the older men. The first are basically etiological, the second provide emotional release and entertainment, and the third show attempts to cope with the cultural flux which followed the arrival of Europeans. Certain Scriptural parallels are explored, with their implications for crosscultural communication of the gospel.

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