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LOCAL NEGATIVITY OF SURFACES WITH NON-NEGATIVE KODAIRA DIMENSION AND TRANSVERSAL CONFIGURATIONS OF CURVES

  • ROBERTO LAFACE (a1) and PIOTR POKORA (a2)

Abstract

We give a bound on the H-constants of configurations of smooth curves having transversal intersection points only on an algebraic surface of non-negative Kodaira dimension. We also study in detail configurations of lines on smooth complete intersections $X \subset \mathbb{P}_{\mathbb{C}}^{n + 2}$ of multi-degree d = (d1, …, dn), and we provide a sharp and uniform bound on their H-constants, which only depends on d.

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Present address: Piotr Pokora, Institute of Mathematics of the Polish Academy of Sciences, Śniadeckich 8, PL-00-656 Warsaw, Poland

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LOCAL NEGATIVITY OF SURFACES WITH NON-NEGATIVE KODAIRA DIMENSION AND TRANSVERSAL CONFIGURATIONS OF CURVES

  • ROBERTO LAFACE (a1) and PIOTR POKORA (a2)

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