Classification of algebraic surfaces with sectional genus less than or equal to six. I. Rational surfaces
نویسندگان
چکیده
منابع مشابه
ATANASSOV'S INTUITIONISTIC FUZZY GRADE OF I.P.S. HYPERGROUPS OF ORDER LESS THAN OR EQUAL TO 6
In this paper we determine the sequences of join spaces and Atanassov's intuitionistic fuzzy sets associated with all i.p.s. hypergroups of order less than or equal to 6, focusing on the calculation of their lengths.
متن کاملClassification of Complex Algebraic Surfaces
In this note we present the classical Enriques’ classification theorem for complex algebraic surfaces. We’ll recall basic facts about the theory of complex surfaces (structure theorems for birational maps), and discuss (using a modern (=Mori) approach) some important results like the Castelnuovo’s rationality criterion and the classification of minimal ruled surfaces. Finally, after the descrip...
متن کاملRational Singularities, with Applications to Algebraic Surfaces and Unique Factorization
§ o. Some terminology and notation . 196 198 I. Applications to the birational theory of surfaces · . . .. . .. .. . . . . .. . . . 199 § I. Birational behavior of rational singularities . . . . . . . . . . . . • . . . . . . . . . . . . . . . . . . . . . . . . . . 199 § 2. Resolution of singularities by quadratic transformations and normalization (method of Zariski) . . . . . . . . . . . . . . ...
متن کاملCongruence Subgroups of PSL(2, Z) of Genus Less than or Equal to 24
A subgroup of Γ which contains some principal congruence subgroup is called a congruence subgroup. The level of a congruence subgroup G is the smallest N such that Γ(N) ⊂ G. The literature on congruence subgroups is vast, and the subject remains very active. Rademacher conjectured that there are only finitely many genus 0 congruence subgroups. This problem was studied by Knopp and Newman [Knopp...
متن کاملSurfaces Generated by Translation Surfaces of Type 1 in I^1_3
In this paper, we classify surface at a constant distance from the edge of regression on translation surfaces of Type 1 in the three dimensional simply isotropic space I^1_3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1984
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1984.113.93