scholarly journals On the hodge metric of the universal deformation space of Calabi-Yau threefolds

2001 ◽  
Vol 11 (1) ◽  
pp. 103-118 ◽  
Author(s):  
Zhiqin Lu
Keyword(s):  
Deformation Space ◽  
Hodge Metric

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.

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 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

DEFORMATIONS OF MULTIPOLARITY SIX AT THE SADDLE POINT OF HEAVIEST NUCLEI

2008 ◽  
Vol 17 (01) ◽  
pp. 265-271 ◽  
Author(s):  
L. SHVEDOV ◽  
S. G. ROHOZIŃSKI ◽  
M. KOWAL ◽  
S. BELCHIKOV ◽  
A. SOBICZEWSKI
Keyword(s):  
Potential Energy ◽  
Saddle Point ◽  
General Type ◽  
Superheavy Nucleus ◽  
Deformation Space ◽  
Microscopic Approach ◽  
Main Attention ◽  
Point Configuration ◽  
Independent Parameters

Saddle-point configuration of heaviest nuclei is studied in a multidimensional deformation space. Main attention is given to the role of the deformation of multipolarity six of a general type, described by four independent parameters. The dependence of the potential energy of a superheavy nucleus on these parameters at the saddle-point configuration is illustrated. The analysis is performed within a macroscopic-microscopic approach.

EFFECT OF NON-AXIAL DEFORMATIONS ON THE FISSION BARRIER OF HEAVY AND SUPERHEAVY NUCLEI

2009 ◽  
Vol 18 (04) ◽  
pp. 914-918 ◽  
Author(s):  
M. KOWAL ◽  
A. SOBICZEWSKI
Keyword(s):  
Large Deformation ◽  
Neutron Number ◽  
Quadrupole Deformation ◽  
Fission Barrier ◽  
Superheavy Nuclei ◽  
Deformation Space ◽  
Microscopic Approach ◽  
Proton Number ◽  
Heavy And Superheavy Nuclei

The effect of the non-axial quadrupole deformation γ2 on the height of the static fission barrier B f of heaviest nuclei is studied. Even-even nuclei with the proton number 92 ≤ Z ≤ 122 and the neutron number 136 ≤ N ≤ 188 are considered. The analysis is done within a macroscopic-microscopic approach with the use of a large deformation space. It is found that the effect reduces B f by up to about 2 MeV.

COMPETITION BETWEEN AXIAL AND NON-AXIAL OCTUPOLE DEFORMATIONS IN HEAVY NUCLEI

2004 ◽  
Vol 13 (01) ◽  
pp. 117-121 ◽  
Author(s):  
J. DUDEK ◽  
K. MAZUREK ◽  
B. NERLO-POMORSKA
Keyword(s):  
Single Particle ◽  
Degrees Of Freedom ◽  
Deformation Energy ◽  
Deformation Space ◽  
Heavy Nuclei ◽  
Saxon Potential ◽  
Total Deformation ◽  
Microscopic Method

The macroscopic-microscopic method is applied to calculate the energies of heavy nuclei (A>220) in a multidimensional deformation space {αλ,μ} including axial and non-axial quadrupole (λ=2,μ=0,2), axial and non-axial octupole (λ=3,μ=0,2) and axial hexadecapole (λ=4,μ=0) degrees of freedom. Shell and pairing corrections are calculated from the single-particle energies of the Woods-Saxon potential with the universal parameters and added to the macroscopic energy of the newest Lublin-Strasbourg Drop (LSD) model to obtain the total deformation energy.

Sign in / Sign up

Export Citation Format

Share Document