Titlebook: Analytic and Algebraic Geometry; Anilatmaja Aryasomayajula,Indranil Biswas,A. J. Pa Book 2017 Springer Nature Singapore Pte Ltd. and Hindu

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Mri485

https://doi.org/10.1007/978-1-4612-1966-8The aim of this note is to give an introduction to the notion of parabolic sheaves on logarithmic schemes, as first defined in my joint work with Angelo Vistoli [BV12]. I will explain the examples we started from in order to, hopefully, enlighten the rather formal definitions given in .. I will conclude by a glimpse at subsequent developments.

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https://doi.org/10.1007/978-1-4615-2329-1We prove a general extension theorem for holomorphic line bundles on reduced complex spaces, equipped with singular hermitian metrics, whose curvature currents can be extended as positive, closed currents. The result has applications to various moduli theoretic situations.

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Linear algebra and search enginesWe describe elliptic models with section on the Shioda supersingular . surface . of Artin invariant 1 over an algebraically closed field of characteristic 3. We compute elliptic parameters and Weierstrass equations for the fifty two different fibrations, and analyze some of the reducible fibers and Mordell-Weil lattices.

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Parabolic Sheaves and Logarithmic Geometry,The aim of this note is to give an introduction to the notion of parabolic sheaves on logarithmic schemes, as first defined in my joint work with Angelo Vistoli [BV12]. I will explain the examples we started from in order to, hopefully, enlighten the rather formal definitions given in .. I will conclude by a glimpse at subsequent developments.

neutrophils

An Extension Theorem for Hermitian Line Bundles,We prove a general extension theorem for holomorphic line bundles on reduced complex spaces, equipped with singular hermitian metrics, whose curvature currents can be extended as positive, closed currents. The result has applications to various moduli theoretic situations.

规章

Elliptic Fibrations on Supersingular K3 Surface with Artin Invariant 1 in Characteristic 3,We describe elliptic models with section on the Shioda supersingular . surface . of Artin invariant 1 over an algebraically closed field of characteristic 3. We compute elliptic parameters and Weierstrass equations for the fifty two different fibrations, and analyze some of the reducible fibers and Mordell-Weil lattices.

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