Normal families of non-negative divisors.
Wilhelm Stoll (1964)
Mathematische Zeitschrift
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Displaying similar documents to “Numerical criteria for the positivity of the difference of ample divisors.”
Normal families of non-negative divisors.
Effective nonvanishing, effective global generation
Mark Andrea A. De Cataldo (1998)
Annales de l'institut Fourier
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We prove a multiple-points higher-jets nonvanishing theorem by the use of local Seshadri constants. Applications are given to effectivity problems such as constructing rational and birational maps into Grassmannians, and the global generation of vector bundles.
Nef line bundles which are not ample.
V.B. Mehta, S. Subramanian (1995)
Mathematische Zeitschrift
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Characterizing Projective Bundles by Means of Ample Divisors.
Antonio Lanteri, Marino Palleschi (1983)
Manuscripta mathematica
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Arithmetical functions associated with the unitary divisors of an integer.
Eckford Cohen (1960)
Mathematische Zeitschrift
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On the preservation of k-very ampleness under adjunction.
Mauro C. Beltrametti, A.J. Sommenese (1993)
Mathematische Zeitschrift
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Cesàro means related to the square of the divisor function
Gintautas Bareikis, Algirdas Mačiulis (2012)
Acta Arithmetica
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On the fundamental group of the complement of a divisor in a homogeneous space.
Ichiro Shimada (1995)
Mathematische Zeitschrift
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Extension of Morphisms Defined on a Divisor.
Fernando Serrano (1987)
Mathematische Annalen
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Ample line bundles on blown up surfaces.
Oliver Küchle (1996)
Mathematische Annalen
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On the 2 and the 3-connectedness of ample divisors on a surface.
Antonio Lanteri, Mauro Beltrametti (1987)
Manuscripta mathematica
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Strictly nef divisors and Fano threefolds.
Fernando Serrano (1995)
Journal für die reine und angewandte Mathematik
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On fluctuations in the mean of a sum-of-divisors function
Y.-F. S. Pétermann (2004)
Acta Arithmetica
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The range of the sum-of-proper-divisors function
Florian Luca, Carl Pomerance (2015)
Acta Arithmetica
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Answering a question of Erdős, we show that a positive proportion of even numbers are in the form s(n), where s(n) = σ(n) - n, the sum of proper divisors of n.