Simplicity of generic Steiner bundles

Maria Chiara Brambilla

Displaying similar documents to “Simplicity of generic Steiner bundles”

A sharp weighted Wirtinger inequality

Tonia Ricciardi (2005)

Bollettino dell'Unione Matematica Italiana

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We obtain a sharp estimate for the best constant $C > 0$ in the Wirtinger type inequality $\int_{0}^{2 π} γ^{p} ω^{2} \leq C \int_{0}^{2 π} γ^{q} ω^{'}^{2}$ where $γ$ is bounded above and below away from zero, $w$ is $2 π$ -periodic and such that $\int_{0}^{2 π} γ^{p} ω = 0$ , and $p + q \geq 0$ . Our result generalizes an inequality of Piccinini and Spagnolo.

Circle bundles, adiabatic limits of $η$ -invariants and Rokhlin congruences

Weiping Zhang (1994)

Annales de l'institut Fourier

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We present a direct analytic treatment of the Rokhlin congruence formula $[$ R2 $]$ by calculating the adiabatic limit of $η$ -invariants of Dirac operators on circle bundles. Extensions to higher dimensions are obtained.

On the smallest degree of a surface containing a space curve

Margherita Roggero, Paolo Valabrega (1998)

Bollettino dell'Unione Matematica Italiana

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Sia $C$ una curva dello spazio di grado $D$ contenuta in una superficie di grado $r$ e non in una di grado $r - 1$ . Se $C$ è integra, allora $r \leq \sqrt{6 D - 2} - 2$ ; questo limite superiore, raggiunto in alcuni casi (cfr. [5]), non vale però per curve arbitrarie (cfr. [?, 3 (iii)]). Ogni curva $C$ dello spazio (anche non ridotta o riducibile) può essere ottenuta come schema degli zero di una sezione non nulla di un opportuno fascio riflessivo $F$ di rango 2. Mediante i fasci riflessivi, siamo in grado di estendere alle curve...

A compactification of ${(ℂ^{*})}^{4}$ with no non-constant meromorphic functions

Jun-Muk Hwang, Dror Varolin (2002)

Annales de l’institut Fourier

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For each 2-dimensional complex torus $T$ , we construct a compact complex manifold $X (T)$ with a $ℂ^{2}$ -action, which compactifies ${(ℂ^{*})}^{4}$ such that the quotient of ${(ℂ^{*})}^{4}$ by the $ℂ^{2}$ -action is biholomorphic to $T$ . For a general $T$ , we show that $X (T)$ has no non-constant meromorphic functions.

Bounds for Chern classes of semistable vector bundles on complex projective spaces

Wiera Dobrowolska (1993)

Colloquium Mathematicae

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This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on $ℙ^{n}$ . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on $ℙ^{4}$ and a generalization of the presented method to r-bundles on $ℙ^{n}$ is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.

Displaying similar documents to “Simplicity of generic Steiner bundles”

A sharp weighted Wirtinger inequality

Circle bundles, adiabatic limits of η -invariants and Rokhlin congruences

On the smallest degree of a surface containing a space curve

A compactification of ( ℂ * ) 4 with no non-constant meromorphic functions

Bounds for Chern classes of semistable vector bundles on complex projective spaces

Circle bundles, adiabatic limits of $η$ -invariants and Rokhlin congruences

A compactification of ${(ℂ^{*})}^{4}$ with no non-constant meromorphic functions