Search Results - "DE BOBADILLA, JAVIER FERNÁNDEZ"

Moderately Discontinuous Homology by Bobadilla, Javier Fernández, Heinze, Sonja, Pereira, María Pe, Sampaio, José Edson

“…We introduce a new metric homology theory, which we call Moderately Discontinuous Homology, designed to capture Lipschitz properties of metric singular…”
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Moderately Discontinuous Homotopy by Fernández de Bobadilla, Javier, Heinze, Sonja, Pe Pereira, Maria

“…We introduce a metric homotopy theory, which we call moderately discontinuous homotopy, designed to capture Lipschitz properties of metric singular subanalytic…”
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Multiplicity and degree as bi‐Lipschitz invariants for complex sets by Fernández de Bobadilla, Javier, Fernandes, Alexandre, Sampaio, J. Edson

“…We study invariance of multiplicity of complex analytic germs and degree of complex affine sets under outer bi‐Lipschitz transformations (outer bi‐Lipschitz…”
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Topological equisingularity of hypersurfaces with 1-dimensional critical set by Fernández de Bobadilla, Javier

“…We focus on topological equisingularity of families of holomorphic function germs with 1-dimensional critical set. We introduce the notion of equisingularity…”
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The Lê numbers of the square of a function and their applications by Fernández de Bobadilla, Javier, Gaffney, Terence

“…Lê numbers were introduced by Massey with the purpose of numerically controlling the topological properties of families of non-isolated hypersurface…”
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On the generalized Nash problem for smooth germs and adjacencies of curve singularities by Fernández de Bobadilla, Javier, Pe Pereira, María, Popescu-Pampu, Patrick

“…In this paper we explore the generalized Nash problem for arcs on a germ of smooth surface: given two prime divisors above its special point, to determine…”
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The boundary of the Milnor fibre of complex and real analytic non-isolated singularities by de Bobadilla, Javier Fernández, Menegon Neto, Aurélio

“…Let f and g be holomorphic function-germs vanishing at the origin of complex analytic germs of dimension three. Suppose that they have no common irreducible…”
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TOPOLOGICAL INVARIANTS AND MILNOR FIBRE FOR \(\mathcal{A}\)-FINITE GERMS \(C^2\) to \(C^3\) by Fernández De Bobadilla, Javier, Peñafort-Sanchis, Guillermo, Sampaio, José Edson

“…This note is the observation that a simple combination of known results shows that the usual analytic invariants of a finitely determined multi-germ \(f : (C^2…”
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Nash problem for surface singularities is a topological problem by Fernández de Bobadilla, Javier

“…We address Nash problem for surface singularities using wedges. We give a refinement of the characterisation in A. Reguera-López (2006) [32] of the image of…”
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The Nash problem for surfaces by de Bobadilla, Javier Fernández, Pereira, María Pe

“…We prove that Nash mapping is bijective for any surface defined over an algebraically closed field of characteristic 0…”
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On the embedded Nash problem by Budur, Nero, de la Bodega, Javier, de Lorenzo Poza, Eduardo, Fernández de Bobadilla, Javier, Pełka, Tomasz

“…The embedded Nash problem for a hypersurface in a smooth algebraic variety is to characterize geometrically the maximal irreducible families of arcs with fixed…”
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The Brasselet–Schürmann–Yokura Conjecture on L -Classes of Projective Rational Homology Manifolds by Fernández de Bobadilla, Javier, Pallarés, Irma

“…In 2010, Brasselet, Schürmann, and Yokura conjectured an equality of characteristic classes of singular varieties between the Goresky–MacPherson $L$-class…”
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On the embedded Nash problem by Budur, Nero, de la Bodega, Javier, Poza, Eduardo de Lorenzo, de Bobadilla, Javier Fernández, Pełka, Tomasz

“…Forum of Mathematics, Pi 12 (2024) e15 The embedded Nash problem for a hypersurface in a smooth algebraic variety, is to characterize geometrically the maximal…”
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Equisingularity at the normalisation by de Bobadilla, Javier Fernández, Pereira, María Pe

“…We look at topological equisingularity of a holomorphic family of reduced mapping germs over a contractible base T having non-isolated singularities, by means…”
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Hodge modules and cobordism classes by Fernández de Bobadilla, Javier, Pallarés, Irma, Saito, Morihiko

“…We show that the cobordism class of a polarization of Hodge module defines a natural transformation from the Grothendieck group of Hodge modules to the…”
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Multiplicity and degree as bi-Lipschitz invariants for complex sets by de Bobadilla, Javier Fernández, Fernandes, Alexandre, Sampaio, J. Edson

“…We study invariance of multiplicity of complex analytic germs and degree of complex affine sets under outer bi-Lipschitz transformations (outer bi-Lipschitz…”
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Multiplicity and degree as bi-Lipschitz invariants for complex sets: MULTIPLICITY AND DEGREE AS BI-LIPSCHITZ INVARIANTS by Fernández de Bobadilla, Javier, Fernandes, Alexandre, Sampaio, J. Edson

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A reformulation of Le's conjecture by Fernández de Bobadilla, Javier

“…We give a new proof of Le's conjecture on surface germs in ℂ 3 having as link a topological sphere for the case of surface singularities containing a smooth…”
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Fibrations by Lagrangian tori for maximal Calabi-Yau degenerations and beyond by de Bobadilla, Javier Fernández, Pełka, Tomasz

“…We introduce a general technique to construct Lagrangian torus fibrations in degenerations of K\"ahler manifolds. We show that such torus fibrations naturally…”
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Constant coefficient and intersection complex $L$-classes of projective varieties by de Bobadilla, Javier Fernández, Pallarés, Irma, Saito, Morihiko

“…For a projective variety $X$ we have the intersection complex $L$-class defined by using the self-duality of the intersection complex and also the constant…”
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