Displaying similar documents to “Segre-Veronese embeddings of P1 x P1 x P1 and their secant varieties.”

Special effect varieties in higher dimension.

Cristiano Bocci (2005)

Collectanea Mathematica

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Here we introduce the concept of special effect varieties in higher dimension and we generalize to P, n ≥ 3, the two conjectures given in [2] for the planar case. Finally, we propose some examples on the product of projective spaces and we show how these results fit with the ones of Catalisano, Geramita and Gimigliano.

Some defective secant varieties to osculating varieties of Veronese surfaces.

Alessandra Bernardi, Maria Virginia Catalisano (2006)

Collectanea Mathematica

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We consider the k-osculating varietiesO to the Veronese d?uple embeddings of P. By studying the Hilbert function of certain zero-dimensional schemes Y ⊂ P, we find the dimension of O , the (s?1) secant varieties of O, for 3 ≤ s ≤ 6 and s = 9, and we determine whether those secant varieties are defective or not.

On the Moser-Onofri and Prékopa-Leindler inequalities.

Alessandro Ghigi (2005)

Collectanea Mathematica

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Using elementary convexity arguments involving the Legendre transformation and the Prékopa-Leindler inequality, we prove the sharp Moser-Onofri inequality, which says that 1/16π ∫|∇φ|2 + 1/4π ∫ φ - log (1/4π ∫ eφ) ≥ 0 for any funcion φ ∈ C∞(S2).