Download PDF by A.N. Parshin, I.R. Shafarevich, V.L. Popov, T.A. Springer,: Algebraic geometry IV (Enc.Math.55, Springer 1994)

By A.N. Parshin, I.R. Shafarevich, V.L. Popov, T.A. Springer, E.B. Vinberg

ISBN-10: 3540546820

ISBN-13: 9783540546825

This quantity of the Encyclopaedia includes contributions on heavily comparable topics: the speculation of linear algebraic teams and invariant idea. the 1st half is written by means of T.A. Springer, a widely known specialist within the first pointed out box. He provides a finished survey, which includes quite a few sketched proofs and he discusses the actual good points of algebraic teams over certain fields (finite, neighborhood, and global). The authors of half , E.B. Vinberg and V.L. Popov, are one of the so much lively researchers in invariant conception. The final twenty years were a interval of energetic improvement during this box as a result of the impact of recent tools from algebraic geometry. The publication might be very worthy as a reference and examine advisor to graduate scholars and researchers in arithmetic and theoretical physics.

Show description

Read Online or Download Algebraic geometry IV (Enc.Math.55, Springer 1994) PDF

Similar geometry and topology books

Differential geometry and its applications: proceedings of - download pdf or read online

This quantity comprises invited lectures and chosen examine papers within the fields of classical and glossy differential geometry, international research, and geometric equipment in physics, offered on the tenth overseas convention on Differential Geometry and its functions (DGA2007), held in Olomouc, Czech Republic.

Read e-book online Low-Dimensional Topology II: Graphs on Surfaces and Their PDF

Graphs drawn on two-dimensional surfaces have constantly attracted researchers via their attractiveness and through the diversity of adverse inquiries to which they provide upward thrust. the idea of such embedded graphs, which lengthy appeared relatively remoted, has witnessed the looks of completely unforeseen new purposes in fresh a long time, starting from Galois idea to quantum gravity versions, and has turn into one of those a spotlight of an unlimited box of study.

Read e-book online Poisson-Geometrie und Deformationsquantisierung: Eine PDF

In diesem Buch werden die Grundlagen der Poisson-Geometrie und der Deformationsquantisierung ausgehend von physikalischen Fragestellungen auf kohärente Weise entwickelt. Die Poisson-Geometrie bietet einen allgemeinen Rahmen für die geometrische Mechanik und stellt eine Verallgemeinerung der symplektischen Geometrie dar.

Download PDF by Mark Solomonovich: Euclidean Geometry: A First Course

This textbook is a self-contained presentation of Euclidean Geometry, a subject matter that has been a center a part of college curriculum for hundreds of years. The dialogue is rigorous, axiom-based, written in a conventional demeanour, precise to the Euclidean spirit. ameliorations within the Euclidean aircraft are integrated as a part of the axiomatics and as a device for fixing building difficulties.

Extra info for Algebraic geometry IV (Enc.Math.55, Springer 1994)

Example text

Soc. Math. France 178 (1950) 152–161. -H. Kang: Covering Euclidean n-space by [F¨ uK05] Z. Fu translates of a convex body, manuscript. [Gr85] P. Gritzmann: Lattice covering of space with symmetric convex bodies, Mathematika 32 (1985) 311–315. [He98] A. Heppes: Research problem, Period. Math. Hungar. 36 (1998) 181–182. [Is98] D. Ismailescu: Covering the plane with copies of a convex disk, Discrete Comput. Geom. 20 (1998) 251–263. B. Kershner: The number of circles covering a set, Amer. J. Math. 61 (1939) 665–671.

In the latter case, the centers of the spherical balls form the vertex set of a regular four-dimensional crosspolytope [DaL*00]. Problem 16 (Larman, Zong) Consider a covering of Sd with n = 2d + 2 equal spherical balls of minimum radius, d > 3. Do the centers of the balls form the vertex set of a regular ddimensional crosspolytope? Actually, it is possible that for every d ≥ 3 and d + 2 ≤ n ≤ 2d + 2, the set of centers of the balls in an optimal configuration can always be obtained as the union of the vertex sets of n − d − 1 mutually orthogonal regular simplices of circumradius one, whose dimensions are as equal as possible.

Th: On the intersection of a convex disc and a [FeT77] G. Fejes To polygon, Acta Math. Acad. Sci. Hungar. 29 (1977) 149–153. ´ th: Covering the plane by convex discs, Acta [FeTG72] G. Fejes To Math. Acad. Sci. Hungar. 23 (1972) 263–270. 22 1 Density Problems for Packings and Coverings ´ th, W. Kuperberg: Thin non-lattice covering [FeTK95] G. Fejes To with an affine image of a strictly convex body, Mathematika 42 (1995) 239–250. ´ th, T. Zamfirescu: For most convex discs [FeTZ94] G. Fejes To thinnest covering is not lattice-like, in: Intuitive Geometry (Szeged, 1991) K.

Download PDF sample

Algebraic geometry IV (Enc.Math.55, Springer 1994) by A.N. Parshin, I.R. Shafarevich, V.L. Popov, T.A. Springer, E.B. Vinberg


by Edward
4.3

Rated 4.93 of 5 – based on 41 votes