Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
DEFORMATION CLASSES OF REAL FOUR-DIMENSIONAL CUBIC HYPERSURFACES
Download
index.pdf
Date
2008-10-01
Author
Finashin, Sergey
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
104
views
0
downloads
Cite This
We study real nonsingular cubic hypersurfaces X subset of P-5 up to deformation equivalence combined with projective equivalence and prove that, they, are classified by the conjugacy classes of involutions induced by the complex conjugation in H-4(X). Moreover, we provide a graph Gamma(K4) whose vertices represent the equivalence classes of such cubics and whose edges represent their adjacency. It turns out that the graph Gamma(K4) essentially coincides with the graph Gamma(K3) characterizing a certain adjacency of real nonpolarized K3-surfaces,
Subject Keywords
Surfaces
,
Classification
,
3-dimensional cubics
URI
https://hdl.handle.net/11511/38809
Journal
JOURNAL OF ALGEBRAIC GEOMETRY
DOI
https://doi.org/10.1090/s1056-3911-08-00491-8
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
STRUCTURAL STABILITY AND ENERGETICS OF THE PHOSPHORUS MICROCLUSTERS P-2 TO P-10 - AN MNDO CALCULATION
YILMAZ, H (1992-05-25)
The geometries of the low-lying isomers of phosphorus P2 to P10 were calculated using the semiempirical modified neglect of diatomic overlap method. It was found that, in those cases (P2 and P4) where spectroscopic data are available, the bond strengths are overestimated. The binding energies were found to be underestimated in those cases (P2, P3 and P4) where thermodynamically derived values for the gas phase are available. A roof-shaped tetramer is a prominent structural unit in low-lying states of P5, P6...
Chirality of real non-singular cubic fourfolds and their pure deformation classification
Finashin, Sergey (Springer Science and Business Media LLC, 2020-02-22)
In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of coefficients preserving the hypersurface non-singular. Here, we perform a finer classification giving a full answer to the chirality problem: which of real non-singular cubic hypersurfaces can not be continuously deformed to their mirror reflection.
Fixed point scheme of the Hilbert Scheme under a 1-dimensional additive algebraic group action
Özkan, Engin; Akyıldız, Ersan; Kişisel, Ali Ulaş Özgür; Department of Mathematics (2011)
In general we know that the fixed point locus of a 1-dimensional additive linear algebraic group,G_{a}, action over a complete nonsingular variety is connected. In thesis, we explicitly identify a subset of the G_{a}-fixed locus of the punctual Hilbert scheme of the d points,Hilb^{d}(P^{2}; 0),in P^{2}. In particular we give an other proof of the fact that Hilb^{d}(P^{2}; 0) is connected.
Action of a Frobenius-like group
Güloǧlu, Ismail Ş.; Ercan, Gülin (2014-03-15)
We call a finite group Frobenius-like if it has a nontrivial nilpotent normal subgroup F possessing a nontrivial complement H such that [F, h] = F for all nonidentity elements h is an element of H. We prove that any irreducible nontrivial FH-module for a Frobenius-like group FH of odd order over an algebraically closed field has an H-regular direct summand if either F is fixed point free on V or F acts nontrivially on V and the characteristic of the field is coprime to the order of F. Some consequences of t...
On the deformation chirality of real cubic fourfolds
Finashin, Sergey (Wiley, 2009-09-01)
According to our previous results, the conjugacy class of the involution induced by the complex conjugation in the homology of a real non-singular cubic fourfold determines the fourfold tip to projective equivalence and deformation. Here, we show how to eliminate the projective equivalence and obtain a pure deformation classification, that is, how to respond to the chirality problem: which cubics are not deformation equivalent to their image under a mirror reflection. We provide an arithmetical criterion of...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. Finashin, “DEFORMATION CLASSES OF REAL FOUR-DIMENSIONAL CUBIC HYPERSURFACES,”
JOURNAL OF ALGEBRAIC GEOMETRY
, pp. 677–707, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38809.