On the Hilbert function of curvilinear zero-dimensional subschemes of projective spaces

E. Ballico; R. Notari; M. Spreafico

Displaying similar documents to “On the Hilbert function of curvilinear zero-dimensional subschemes of projective spaces”

Hilbert transform and singular integrals on the spaces of tempered ultradistributions

Andrzej Kamiński, Dušanka Perišić, Stevan Pilipović (2000)

Banach Center Publications

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The Hilbert transform on the spaces $S^{'} * (R^{d})$ of tempered ultradistributions is defined, uniquely in the sense of hyperfunctions, as the composition of the classical Hilbert transform with the operators of multiplying and dividing a function by a certain elliptic ultrapolynomial. We show that the Hilbert transform of tempered ultradistributions defined in this way preserves important properties of the classical Hilbert transform. We also give definitions and prove properties of singular integral...

Elementary introduction to representable functors and Hilbert schemes

Stein Strømme (1996)

Banach Center Publications

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The purpose of this paper is to define and prove the existence of the Hilbert scheme. This was originally done by Grothendieck in [4]. A simplified proof was given by Mumford [11], and we will basically follow that proof, with small modifications.

Finite-dimensional Hilbert $C^{*}$ -modules.

Arambašić, Ljiljana, Bakić, Damir, Rajić, Rajna (2010)

Banach Journal of Mathematical Analysis [electronic only]

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Betti numbers for the Hilbert function strata of the punctual Hilbert scheme in two variables.

Lothar Göttsche (1990)

Manuscripta mathematica

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A Stratification of the Hilbert Scheme of Points in the Projective Plane.

Gerd Gotzmann (1988)

Mathematische Zeitschrift

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Partial intersections and graded Betti numbers.

Ragusa, Alfio, Zappalà, Giuseppe (2003)

Beiträge zur Algebra und Geometrie

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Computing limit linear series with infinitesimal methods

Laurent Evain (2007)

Annales de l’institut Fourier

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Alexander and Hirschowitz determined the Hilbert function of a generic union of fat points in a projective space when the number of fat points is much bigger than the greatest multiplicity of the fat points. Their method is based on a lemma which determines the limit of a linear system depending on fat points approaching a divisor. Other Hilbert functions were computed previously by Nagata. In connection with his counter-example to Hilbert’s fourteenth problem, Nagata determined...

Infinite-dimensional bicomplex Hilbert spaces.

Gervais Lavoie, Raphaël, Marchildon, Louis, Rochon, Dominic (2010)

Annals of Functional Analysis (AFA) [electronic only]

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An elementary proof of Komlós-Révész theorem in Hilbert spaces.

Guessous, Mohamed (1997)

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Hilbert modules and tensor products of operator spaces

Bojan Magajna (1997)

Banach Center Publications

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The classical identification of the predual of B(H) (the algebra of all bounded operators on a Hilbert space H) with the projective operator space tensor product $\bar{H} ⨂^{^} H$ is extended to the context of Hilbert modules over commutative von Neumann algebras. Each bounded module homomorphism b between Hilbert modules over a general C*-algebra is shown to be completely bounded with $∥ b ∥_{c b} = ∥ b ∥$ . The so called projective operator tensor product of two operator modules X and Y over an abelian von Neumann algebra...