Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities.
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Jonathan Wahl (1993)
Mathematische Annalen
Némethi, András, Nicolaescu, Liviu I. (2002)
Geometry & Topology
J.H.M. Steenbrink (1985)
Inventiones mathematicae
K. Kiyek, M. Micus (1990)
Banach Center Publications
G.M. Greuel, H. Kröning (1990)
Mathematische Zeitschrift
Robert Friedmann (1986)
Mathematische Annalen
Thomas Peternell (1989)
Manuscripta mathematica
H. Pinkham (1976/1977)
Séminaire sur les singularités des surfaces
H. Pinkham (1976/1977)
Séminaire sur les singularités des surfaces
J. Alexander (1988)
Compositio Mathematica
Peter ORLIK, Philip WAGREICH (1971)
Mathematische Annalen
Fedor Bogomolov, Paolo Cascini, Bruno Oliveira (2006)
Open Mathematics
We prove that any finite set of n-dimensional isolated algebraic singularities can be afforded on a simply connected projective variety.
Shihoko Ishii (1987)
Mathematische Annalen
Shihoko Ishii (1986)
Mathematische Annalen
David Hernandez (2008)
Annales scientifiques de l'École Normale Supérieure
The geometric small property (Borho-MacPherson [2]) of projective morphisms implies a description of their singularities in terms of intersection homology. In this paper we solve the smallness problem raised by Nakajima [37, 35] for certain resolutions of quiver varieties [37] (analogs of the Springer resolution): for Kirillov-Reshetikhin modules of simply-laced quantum affine algebras, we characterize explicitly the Drinfeld polynomials corresponding to the small resolutions. We use an elimination...
M. R. Gonzalez-Dorrego (2016)
Banach Center Publications
Let k be an algebraically closed field, char k = 0. Let C be an irreducible nonsingular curve such that rC = S ∩ F, r ∈ ℕ, where S and F are two surfaces and all the singularities of F are of the form , s ∈ ℕ. We prove that C can never pass through such kind of singularities of a surface, unless r = 3a, a ∈ ℕ. We study multiplicity-r structures on varieties r ∈ ℕ. Let Z be a reduced irreducible nonsingular (n-1)-dimensional variety such that rZ = X ∩ F, where X is a normal n-fold, F is a (N-1)-fold...
Rick Miranda, Robert Friedman (1983)
Mathematische Annalen
Robert Friedman, Henry Pinkham (1984)
Compositio Mathematica
José M. Tornero (2003)
Revista Matemática Iberoamericana
This paper is part of the author's thesis, recently presented, where the following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that is, an algebroid embedded surface admitting an equation whose roots are Puiseux power series) , using a set of exponents appearing in a root of an equation. The aim is knowing to which extent the well known results for the quasi-ordinary case can be extended to this much wider family.
Joel Roberts (1980)
Compositio Mathematica
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