Abstract This is a survey of results on positivity of vector bundles, inspired by the BrunnMinkowski and Prékopa theorems. Applications to complex analysis, Kähler geometry and algebraic geometry are also discussed. Pr

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• Mathematical analysis
• Mathematics
• Topology
• Complex manifolds
• Vector bundles
• Algebraic geometry
• Holomorphic vector bundle
• Khler manifold
• Plurisubharmonic function
• Complex analysis
• Bo Berndtsson
• Harmonic function

C HAPTER Lefschetz Pencils (Outline) In this chapter, we see how to fibre a variety over P1 in such a way that the fibres have only very simple singularities. This result sometimes allows one to prove theorems by induct

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Hanf Numbers and Presentation Theorems in AECs John Baldwin∗ Department of Mathematics, Statistics and Computer Science University of Illinois at Chicago Will Boney†

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Topological regular variation. II. The fundamental theorems. N. H. Bingham Mathematics Department, Imperial College London, South Kensington, London SW7 2AZ A. J. Ostaszewski

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Andrzej Czygrinow, Louis DeBiasio, H.A. Kierstead and Theodore Molla* (). Minimum degree thresholds for spanning subgraphs of directed and oriented graphs. Preliminary report. Many theorems

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Nonlinear Analysis: Modelling and Control, 2011, Vol. 16, No. 4, 435–Limit theorems for a quadratic variation of Gaussian processes

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A New Quantum Lower Bound Method, with Applications to Direct Product Theorems and Time-Space Tradeoffs Andris Ambainis∗ University of Waterloo

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A few facts on integrality *BRIEF VERSION* Darij Grinberg VersionNovemberThe purpose of this note is to collect some theorems and proofs related to integrality in commutative algebra. The note is subdivided

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On generalizations of partition theorems of Schur and Andrews to overpartitions Jehanne Dousse September 26, 2013 Abstract In this paper we give three new proofs of Schur’s theorem for overpartitions using recurrences

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SECOND-ORDER LOGIC, OR: HOW I LEARNED TO STOP WORRYING AND LOVE THE INCOMPLETENESS THEOREMS ETHAN JERZAK Abstract. First-order logic enjoys a nearly universal status as the language in which mathematics is done—or at l

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