10 ENGLISH BOOKS RELATING TO «HOMALOIDAL»
Discover the use of
homaloidal in the following bibliographical selection. Books relating to
homaloidal and brief extracts from same to provide context of its use in English literature.
1
Geometry of the Plane Cremona Maps
Hence the homaloidal curve C must be a component of D. But since there are
infinite irreducible homaloidal curves in C (2.1.3), we reach a contradiction. D As
it was announced in advance in the previous section, 5.3.1 and 5.2.20 together ...
Maria Alberich-Carraminana, 2002
2
Geometry of Four Dimensions
CHAPTER XI. Curves in jv-Fold Homaloidal Space. In this chapter, the results
relating to the principal homaloidal amplitudes connected with a skew curve in ?t-
fold homaloidal space are merely stated, usually without the contributory analysis
.
3
Lectures on Curves, Surfaces and Projective Varieties: A ...
We now give a brief discussion of a method, first suggested by L. Cremona [29], [
30], for determining (if they exist) all the homaloidal systems of surfaces in P3 that
contain a given (rational) surface Fo having a known representation over a ...
4
Bulletin of the National Research Council
A surface <f> of a homaloidal web is cut by the other surfaces of the web in a
homaloidal net of curves on <j>. Since <f> is rational it can be mapped on a
plane ir by a net 2 of curves of order r on a certain base B. All surfaces of order n
cut <£ in ...
5
Selected Topics in Algebraic Geometry
The first general method for obtaining a wide variety of transformations in space
is due to Cre- mona(2s). A surface ,f, of a homaloidal web is cut by the other
surfaces of the web in a homaloidal net of curves on ,£. Since n£ is rational it can
be ...
6
Geometry of Four Dimenions
The purpose of this chapter* is to sketch, though only in brief outline, the different
kinds of measures of the curvature of an amplitude of n dimensions, existing in a
homaloidal space of n + 1 dimensions which will be called the plenary space.
7
Classical Algebraic Geometry: A Modern View
Lemma 7.5.14 Let v be a proper homaloidal type. Then it belongs to the W(N)-
orbit of the vector e0. Proof Let be a proper homaloidal type and be the
corresponding homaloidal bubble cycle. Let w 6 W(N) and v' I w(v) I . We have m,
- I ei ~ v'I ...
8
Understanding Space-Time: The Philosophical Development of ...
Space-time in which there is no gravitational field which cannot be transformed
away is called homaloidal . . . Our space is not like that, though we believe that at
great distances from all gravitating matter it tends toward this condition as a limit.
9
Algebra, Arithmetic, and Geometry: Volume I: In Honor of Yu. ...
2.1 Homaloidal linear systems We will be working over the field of complex
numbers. Recall that a dominant rational map χ : P2− → P2 is given by a 2-
dimensional linear system H equal to the proper transform of the linear system of
lines H ...
Yuri Tschinkel, Yuri Zarhin, 2010
10
Algebraic Curves over a Finite Field
In this case, the transformation to is birational; it is also called a Cremona
transformation. Then through the points P0, P1, . . . , Pnzzl pass all curves of the
net Q This is therefore a homaloidal net', that is, every two of its curves have a
single ...
J. W.P. Hirschfeld, G. Korchmáros, F. Torres, 2013
