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Gaussian Maps and Tensor products of irreducible representations.

Jonathan Wahl (1991)

Manuscripta mathematica

Generalized Newton-Puiseux Expansion and Abhyankar-Moh Semigroup Theorem.

A. Sathaye (1983)

Inventiones mathematicae

Generalized polar varieties and an efficient real elimination

Bernd Bank, Marc Giusti, Joos Heintz, Luis M. Pardo (2004)

Kybernetika

Let $W$ be a closed algebraic subvariety of the $n$ -dimensional projective space over the complex or real numbers and suppose that $W$ is non-empty and equidimensional. In this paper we generalize the classic notion of polar variety of $W$ associated with a given linear subvariety of the ambient space of $W$ . As particular instances of this new notion of generalized polar variety we reobtain the classic ones and two new types of polar varieties, called dual and (in case that $W$ is affine) conic. We show that...

Generic finite schemes and Hochschild cocycles.

Guerino Mazzola (1980)

Commentarii mathematici Helvetici

Generische determinantielle Singularitäten: Homologische Eigenschaften des Derivationenmoduls.

Udo Vetter (1983)

Manuscripta mathematica

Géométrie des points épais

Jacques Emsalem (1978)

Bulletin de la Société Mathématique de France

Geometry of Puiseux expansions

Maciej Borodzik, Henryk Żołądek (2008)

Annales Polonici Mathematici

We consider the space Curv of complex affine lines t ↦ (x,y) = (ϕ(t),ψ(t)) with monic polynomials ϕ, ψ of fixed degrees and a map Expan from Curv to a complex affine space Puis with dim Curv = dim Puis, which is defined by initial Puiseux coefficients of the Puiseux expansion of the curve at infinity. We present some unexpected relations between geometrical properties of the curves (ϕ,ψ) and singularities of the map Expan. For example, the curve (ϕ,ψ) has a cuspidal singularity iff it is a critical...

Glatte Morphismen in der affinoiden Geometrie.

Rainer Brüske (1978)

Mathematische Zeitschrift

Global smoothing of Calabi-Yau threefolds.

Yoshinori Namikawa, J. H. Steenbrink (1995)

Inventiones mathematicae

Graph theoretic techniques in algebraic geometry II: construction of singular complex surfaces of the rational cohomology type of CP2.

L. Brenton, D. Drucker, G.C.E. Prins (1981)

Commentarii mathematici Helvetici

Green functions, Segre numbers, and King’s formula

Mats Andersson, Elizabeth Wulcan (2014)

Annales de l’institut Fourier

Let $𝒥$ be a coherent ideal sheaf on a complex manifold $X$ with zero set $Z$ , and let $G$ be a plurisubharmonic function such that $G = log | f | + 𝒪 (1)$ locally at $Z$ , where $f$ is a tuple of holomorphic functions that defines $𝒥$ . We give a meaning to the Monge-Ampère products ${(d d^{c} G)}^{k}$ for $k = 0, 1, 2, ...$ , and prove that the Lelong numbers of the currents $M_{k}^{𝒥} : = 1_{Z} {(d d^{c} G)}^{k}$ at $x$ coincide with the so-called Segre numbers of $J$ at $x$ , introduced independently by Tworzewski, Gaffney-Gassler, and Achilles-Manaresi. More generally, we show that $M_{k}^{𝒥}$ satisfy a certain generalization...

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