epub |eng | | Author:Sotirios E. Louridas & Michael Th. Rassias

Prove that the ratio of the perimeter of the triangle A 1 B 1 C 1 to the area of the triangle A 1 B 1 C 1 is constant. ...

epub |eng | | Author:Annette Huber & Stefan Müller-Stach

induces an isomorphism We define the (v, w)-component of to be the image of under this isomorphism. In order to show that this is a well-defined element of , we ...

epub |eng | | Author:Siegfried Bosch

where the limit runs over all admissible coverings of X, is called the qth Čech cohomology group of X with values in . There is always a canonical morphism that ...

epub |eng | | Author:Igor R. Shafarevich

Theorem 7.5 If X is a nonsingular projective curve then the space can be triangulated, and is a combinatorial surface. Proof We prove first that has a triangulation. We indicate ...

epub, pdf |eng | | Author:Audun Holme

epub |eng | | Author:Fedor Bogomolov, Brendan Hassett & Yuri Tschinkel

Let X be a projective manifold. Given a non-trivial numerical curve class , we are interested in the set of classes whose induced Harder–Narasimhan filtration of the tangent bundle agrees ...

epub |eng | 2019-03-12 | Author:Serge Lang

PROPOSITION 2. Let T : U → V be a birational correspondence defined over a field k. Let (x) be a generic point of U over k, and T(x) = ...

epub |eng | | Author:Matthias Schütt & Tetsuji Shioda

epub |eng | 2019-03-11 | Author:Serge Lang

with points on an abelian variety J, and a divisor T on the product J × V × W. Let k be a field of definition for J, V, W ...

epub |eng | 1995-03-03 | Author:Ann Hirst [Hirst, A E]

FURTHER EXERCISE 11. Suppose that (i) Find the lengths of the vectors a, b, c, d. (ii) Find the scalar products a. b, a. c, a. d, b. c, b. ...

epub |eng | | Author:Cristiano Bocci & Luca Chiantini

where indicates the times in which i occurs in the multi-index J. With the notation just introduced, one can describe the multiplicity . Indeed a permutation changes the multi-index, unless ...

epub |eng | | Author:Maxim E. Kazaryan & Sergei K. Lando & Victor V. Prasolov

9.1 Mittag-Leffler’s Problem Mittag-Leffler’s problem was the starting point that gave rise to the theory of sheaves. It is formulated as follows. Given a collection of principal parts of local ...

epub |eng | | Author:Anne Frühbis-Krüger, Remke Nanne Kloosterman & Matthias Schütt

Corollary 2. In the general fibre of the generic P 2 bundle structure of , the Severi variety of 1–nodal (resp. 2–nodal) irreducible curves is an irreducible curve of degree ...

epub, pdf |eng | 1962-06-26 | Author:Nathan Jacobson

epub, azw3 |eng | 2016-01-19 | Author:Emil Artin [Artin, Emil]

is a trace-preserving homomorphism of T′, hence a certain element of k′ which we may denote by . c) The map given by is an isomorphism of k onto k′. ...