Results 11 to 20 of about 254 (40)
Nodal curves with general moduli on K3 surfaces [PDF]
, 2007 We investigate the modular properties of nodal curves on a low genus K3 surface. We prove that a general genus g curve C is the normalization of a d-nodal curve X sitting on a primitively polarized K3 surface S of degree 2p-2, for p any integer between 3
Flamini, Flaminio +3 more
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Which weakly ramified group actions admit a universal formal deformation? [PDF]
, 2008 Consider a formal (mixed-characteristic) deformation functor D of a representation of a finite group G as automorphisms of a power series ring k[[t]] over a perfect field k of positive characteristic. Assume that the action of G is weakly ramified, i.e.,
Byszewski, Jakub, Cornelissen, Gunther
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Global Geometric Deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebra [PDF]
, 2006 In two earlier articles we constructed algebraic-geometric families of genus one (i.e. elliptic) Lie algebras of Krichever-Novikov type. The considered algebras are vector fields, current and affine Lie algebras.
A. Fialowski +29 more
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Contractions and deformations [PDF]
, 2018 Suppose that f is a projective birational morphism with at most one-dimensional fibres between d-dimensional varieties X and Y, satisfying ${\bf R}f_* \mathcal{O}_X = \mathcal{O}_Y$. Consider the locus L in Y over which f is not an isomorphism.
Donovan, Will, Wemyss, Michael
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Normal bundles to Laufer rational curves in local Calabi-Yau threefolds
, 2005 We prove a conjecture by F. Ferrari. Let X be the total space of a nonlinear deformation of a rank 2 holomorphic vector bundle on a smooth rational curve, such that X has trivial canonical bundle and has sections.
Bruzzo, U., Ricco, A.
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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 +5 more
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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 +9 more
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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 +3 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
core
, 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
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