scholarly journals The versal deformation space of a reflexive module on a rational cone

2004 ◽  
Vol 279 (2) ◽  
pp. 613-637 ◽  
Author(s):  
Trond Stølen Gustavsen ◽  
Runar Ile
Keyword(s):  
Versal Deformation ◽  
Deformation Space ◽  
Reflexive Module

Highly singular quintic curves

1996 ◽  
Vol 119 (2) ◽  
pp. 257-277 ◽  
Author(s):  
C. T. C. Wall
Keyword(s):  
Singularity Theory ◽  
Plane Section ◽  
Versal Deformation ◽  
Deformation Space ◽  
Quintic Curves

The origin of this paper lies in a study of the unfolding space of the stratum N16 of singularity theory, and the question, at which points of the stratum the versal deformation space ceases to be topologically trivial over the stratum. This question turns out to be closely related to the study of how a plane section (= binary quintic) of a quintic curve varies as we deform the curve, either rigidly (under GL3) or equisingularly.

scholarly journals The Kodaira Problem for Kähler Spaces with Vanishing First Chern Class

2021 ◽  
Vol 9 ◽  
Author(s):  
Patrick Graf ◽  
Martin Schwald
Keyword(s):  
Chern Class ◽  
Cohomology Group ◽  
Canonical Bundle ◽  
Deformation Space ◽  
Projective Varieties ◽  
Quotient Singularities ◽  
Finite Quotient ◽  
First Chern Class ◽  
Small Deformations

Abstract Let X be a normal compact Kähler space with klt singularities and torsion canonical bundle. We show that X admits arbitrarily small deformations that are projective varieties if its locally trivial deformation space is smooth. We then prove that this unobstructedness assumption holds in at least three cases: if X has toroidal singularities, if X has finite quotient singularities and if the cohomology group ${\mathrm {H}^{2} \!\left ( X, {\mathscr {T}_{X}} \right )}$ vanishes.

On the versal deformation of a complex space with an isolated singularity

1972 ◽  
Vol 196 (1) ◽  
pp. 23-29 ◽  
Author(s):  
Arnold Kas ◽  
Michael Schlessinger
Keyword(s):  
Complex Space ◽  
Versal Deformation ◽  
Isolated Singularity

scholarly journals A disconnected deformation space of rational maps

2017 ◽  
Vol 11 (1) ◽  
pp. 409-423
Author(s):  
Eriko Hironaka ◽  
◽  
Sarah Koch ◽  
Keyword(s):  
Rational Maps ◽  
Deformation Space

FISSION DYNAMICS IN THE FOUR-DIMENSIONAL DEFORMATION SPACE

2006 ◽  
Vol 15 (02) ◽  
pp. 417-425 ◽  
Author(s):  
KRZYSZTOF POMORSKI ◽  
JOHANN BARTEL
Keyword(s):  
Spherical Harmonics ◽  
Deformation Space ◽  
Neck Formation ◽  
Deformation Parameters ◽  
Fission Barriers ◽  
Spherical Harmonics Expansion ◽  
Left Right Asymmetry ◽  
Rotating Nuclei

A four-dimensional deformation space adapted to describe the fission dynamics of hot, rotating nuclei is proposed. The deformation coordinates consisting of the elongation, neck formation, left-right asymmetry and nonaxiality result in fission barriers much lower and thiner than those obtained in the spherical-harmonics expansion using the same number of deformation parameters.

scholarly journals Irreducibility of versal deformation rings in the (p,p)-case for 2-dimensional representations

2015 ◽  
Vol 444 ◽  
pp. 81-123 ◽  
Author(s):  
Gebhard Böckle ◽  
Ann-Kristin Juschka
Keyword(s):  
Versal Deformation ◽  
Deformation Rings
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