Results 11 to 20 of about 252 (40)

Deformations of Calabi–Yau varieties with k-liminal singularities

Forum of Mathematics, Sigma
The goal of this paper is to describe certain nonlinear topological obstructions for the existence of first-order smoothings of mildly singular Calabi–Yau varieties of dimension at least $4$ .
Robert Friedman, Radu Laza
doaj   +1 more source

Smoothing, scattering and a conjecture of Fukaya

Forum of Mathematics, Pi
In 2002, Fukaya [19] proposed a remarkable explanation of mirror symmetry detailing the Strominger–Yau–Zaslow (SYZ) conjecture [47] by introducing two correspondences: one between the theory of pseudo-holomorphic curves on a Calabi–Yau manifold ...
Kwokwai Chan, Naichung Conan Leung, Ziming Nikolas Ma   +2 more
doaj   +1 more source

Leibniz algebra deformations of a Lie algebra

, 2008
In this note we compute Leibniz algebra deformations of the 3-dimensional nilpotent Lie algebra $\mathfrak{n}_3$ and compare it with its Lie deformations. It turns out that there are 3 extra Leibniz deformations.
Alice Fialowski, Ashis Mandal, Fialowski A., Fialowski A., Loday J.-L., Loday J.-L.   +5 more
core   +2 more sources

Smoothing nodal Calabi-Yau n-folds

, 2019
Let X be an n-dimensional Calabi-Yau with ordinary double points, where n is odd. Friedman showed that for n=3 the existence of a smoothing of X implies a specific type of relation between homology classes on a resolution of X. (The converse is also true,
Bott, Friedman, Griffiths, Kawamata, Kawamata, Ran, Richard Thomas, Schoen, Smith, Sönke Rollenske   +9 more
core   +1 more source

On the universal deformations for SL_2-representations of knot groups

, 2017
Based on the analogies between knot theory and number theory, we study a deformation theory for SL_2-representations of knot groups, following after Mazur's deformation theory of Galois representations.
Morishita, Masanori, Takakura, Yu, Terashima, Yuji, Ueki, Jun   +3 more
core   +1 more source

Deformations of Border Bases

, 2007
Here we study the problem of generalizing one of the main tools of Groebner basis theory, namely the flat deformation to the leading term ideal, to the border basis setting.
Kreuzer, Martin, Robbiano, Lorenzo
core   +1 more source

Formal deformations and their categorical general fibre

, 2011
We study the general fibre of a formal deformation over the formal disk of a projective variety from the view point of abelian and derived categories. The abelian category of coherent sheaves of the general fibre is constructed directly from the formal ...
Huybrechts, D., Macrì, E., Stellari, P.
core   +1 more source

Versal deformations of Leibniz algebras [PDF]

, 2007
In this work we consider deformations of Leibniz algebras over a field of characteristic zero. The main problem in deformation theory is to describe all non-equivalent deformations of a given object.
Fialowski, Alice, Mandal, Ashis, Mukherjee, Goutam   +2 more
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Deformations of elliptic fibre bundles in positive characteristic

, 2011
We study deformation theory of elliptic fibre bundles over curves in positive characteristics. As applications, we give examples of non-liftable elliptic surfaces in charactertic two and three, which answers a question of Katsura and Ueno.
Artin, Basile, B˘adescu, Grothendieck, Grothendieck, Grothendieck, Illusie, Katz, Katz, Kleiman, Lang, Milne, Mumford, Mumford, Raynaud, Silverman   +15 more
core   +1 more source

Rigidity properties of Fano varieties [PDF]

, 2009
We overview some recent results on Fano varieties giving evidence of their rigid nature under small deformations.Comment: 11 ...
Christopher D. Hacon, Fernex, Tommaso De
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