Results 11 to 20 of about 164 (107)

Differential forms on free and almost free divisors [PDF]

open access: yes, 2000
We introduce a variant of the usual Kähler forms on singular free divisors, and show that it enjoys the same depth properties as Kähler forms on isolated hypersurface singularities.
Mond, D. (David)
core   +1 more source

Milnor number equals Tjurina number for functions on space curves [PDF]

open access: yes, 2001
The equality of the Milnor number and Tjurina number for functions on space curve singularities, as conjectured recently by V. Goryunov, is proved.
David Mond   +3 more
core   +1 more source

Deformations of functions and F-manifolds [PDF]

open access: yes, 2004
We study deformations of functions on isolated singularities. A unified proof of the equality of Milnor and Tjurina numbers for functions on isolated complete intersections singularities and space curves is given.
De Gregorio, Ignacio   +1 more
core   +1 more source

Lipschitz Normal Embedding Among Superisolated Singularities

open access: yes, 2019
International audienceAny germ of a complex analytic space is equipped with two natural metrics: the outer metric induced by the hermitian metric of the ambient space and the inner metric, which is the associated riemannian metric on the germ.
Misev, Filip, Pichon, Anne
core   +2 more sources

Chevalley-Weil formula for hypersurfaces in Pn-bundles over curves and Mordell-Weil ranks in function field towers [PDF]

open access: yes, 2018
Let X be a complex hypersurface in a Pⁿ-bundle over a curve C. Let C'→C be a Galois cover with group G. In this paper we describe the C[G]-structure of $H^p,q$(X x$_{c}$ C C') provided that X x$_{c}$ C' is either smooth or n = 3 and X x$_{c}$ C' has
remke kloosterman, Kloosterman, Remke
core   +1 more source

Milnor fiber boundary of a non-isolated surface singularity [PDF]

open access: yes, 2012
In the study of algebraic/analytic varieties a key aspect is the description of the invariants of their singularities. This book targets the challenging non-isolated case.
Némethi, András, Szilárd, Ágnes
core   +1 more source

The topology of terminal quartic 3-folds

open access: yes, 2007
Let Y be a quartic hypersurface in P^4 with terminal singularities. The Grothendieck-Lefschetz theorem states that any Cartier divisor on Y is the restriction of a Cartier divisor on P^4 .
Kaloghiros, Anne-Sophie
core   +1 more source

Hipersuperfícies Levi-flat e webs holomorfas [PDF]

open access: yes, 2021
In this thesis, aspects of the local and global theory of Holomorphic Webs and Levi-flat Hypersurfaces will be considered. We will address three proposals.
Ayane Adelina da Silva
core  

Complex surface singularities with integral homology sphere links

open access: yes, 2005
While the topological types of normal surface singularities with homology sphere link have been classified, forming a rich class, until recently little was known about the possible analytic structures.
Neumann, Walter D.   +4 more
core   +1 more source

Survey on differential estimators for 3d point clouds

open access: yesComputer Graphics Forum, EarlyView.
Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger   +4 more
wiley   +1 more source

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