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1
Deformations of singularities
Remark. In the literature one often finds a definition of versality, which requires
only the lifting property for r = a ® C, or in other words: every deformation is
induced from a versal one. Such a definition is not strong enough to prove that a
versal ...
T yields a deformation of the function f that is equivalent to the deformation
induced from a versal one by some map of the bases 9: T -» A. Theorem ([133], [
322]). The dimension of the minimal transversal T, dim T, equals f! — 1. The
image of T ...
V.I. Arnold, V.V. Goryunov, V.A. Vasil'ev, 1998
3
Complex Compact Surfaces
Exactly because of such examples the notion of versal deformation has been
introduced. A deformation X — (X,p,S) of V with base point so is called versal if it
has the following property: for every X' as above there is an f as above which
need ...
4
Complex Geometry: An Introduction
But at least one has: Theorem 6.2.13 (Kuranishi) Any compact complex manifold
admits a versal deformation. Note that for a versal deformation X —> S the
Kodaira—Spencer map T0S —> H1 (X, TX) is bijective. Using the existence of the
...
For simple elliptic and exceptional unimodal hypersurface singularities and
surface singularities in /c4, the negative versal unfolding (i.e. unfolding versal in
weight < 0) is finitely ^-determined. Hence, the versal unfolding is topologically
trivial ...
Peter Orlik American Mathematical Society
6
Curves and Singularities: A Geometrical Introduction to ...
Show that H is a (p)versal unfolding of H0 (H0(t) = r*+l) at 0. (Induce G as in 6.6p
from H and use (1).) (3) Show how to (p)induce H as in (2) from G as in 6.6p. (
This must be possible, since G is (p)versal. Use Tschirnhaus, as in 6.7p above.) ...
James William Bruce, P. J. Giblin, 1992
7
Singularities and Computer Algebra
is a mini-versal deformation. It is enough to prove that the critical locus of $0 is
non-singular to prove it for any mini-versal deformations of /, since that any mini-
versal deformation of / is isomorphic to one of them, say $0. One can easily find
that ...
Christoph Lossen, Gerhard Pfister, 2006
8
A Course in Mathematical Logic for Mathematicians
(d) Construction of a versal m-family over Z'L. The case m I 0 is trivial, and the
case m I 1 has already been discussed. The case m 2 2 reduces to the case m I 1
using the isomorphism T(m) : (Z'L)mIN>Z+. In fact, let Ek I Elgl) be a versal l-family
, ...
NEAL Koblitz, B. Zilber, Yu. I. Manin, 2009
9
the medico-chirurgical review
It may now be known, then, that the unspecial perceptive oli-versal filaments, and
the unspecial protective versal filaments, conducting unspecial influence from the
convolutions of the right cerebral hemisphere, accompany each other from the ...
10
The Medico-chirurgical Review and Journal of Medical Science
It may now be known, then, that the unspecial perceptive oli-versal filaments, and
the unspecial protective versal filaments, conducting unspecial influence from the
convolutions of the right cerebral hemisphere, accompany each other from the ...
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «VERSAL»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
versal w wiadomościach.
Media Advisory: Versal Publishes Interactive and Embeddable …
SAN FRANCISCO, July 17, 2015 /PRNewswire/ -- Versal, an interactive online course creation platform, today published a fun and interactive new course ... «PR Newswire, Lip 15»
HOOP Magazine: Uni-versal Appeal
In road city after road city, reporters converge on Anthony Davis' locker to ask a series of similar questions: What does it feel like to be mentioned as one of the ... «Pelicans.com, Maj 15»
5 Ed-Tech Ideas Face The Chronicle's Version of 'Shark Tank'
So we started Versal to really allow anybody to create online courses, assignments, homework assignments, and so on, and really make it as easy as it is to ... «Chronicle of Higher Education, Kwi 15»
Magid: Online learning startup Curious launches free version of …
Although very different from Curious, San Francisco-based Versal is another excellent online learning resource that offers sophisticated tools to enable course ... «San Jose Mercury News, Kwi 15»
Z wizytą na: Osiedlu Versal XXI w Olsztynie [ZDJĘCIA]
Dzięki temu otrzymamy imponującą powierzchnię użytkową - mówi Agnieszka Wosiek, z biura sprzedaży Osiedla Versal XXI. W użytkowanych już punktach ... «Gazeta.pl, Kwi 15»
Versal Joins Google for Education Partner Program
SAN FRANCISCO, CA--(Marketwired - Apr 2, 2015) - Versal, a new way for anyone to create interactive online learning experiences, today announced it has ... «Marketwired, Kwi 15»
Versal Helps Teachers Create Interactive Online Lessons, Partners …
Versal is a service that allows teachers to build and publish interactive online courses, homework assignments and tutorials. The company launched its service ... «TechCrunch, Mar 15»
This tool is aiming to be the WordPress of online course creators
online-content-Versal As an educator, it's hard to please today's tech-savvy students with PowerPoints and lecture-on-video—but those are exactly the kinds of ... «eSchool News, Mar 15»
教師が対話型のレッスンを自作できるVersal、Wolfram Alphaとパートナー
Versalは、教師が対話型のオンラインコースや宿題やチュートリアル（個別教程）を作って発行できるサービスだ。同社は今日（米国時間3/4）ベータでローンチしたが、重要と ... «TechCrunch, Mar 15»
Create Your Own Online Courses With Versal
versal If you're going to develop an online course, you need to think about the attention span of the learner, the fact that there isn't likely the social reinforcement ... «Forbes, Lut 15»
