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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d advanced techniques in the area of analytic and algebraic geometry. This volume attempts to give recent developments in the area to target mainly young researchers who are new to this area. Also, some research articles have been added to give examples of how to use these techniques to prove new results..978-981-10-5648-2

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https://doi.org/10.1007/978-1-4612-0801-3esimal variation of Hodge structures of hypersurfaces in ℙ., we determine all non-reduced components with codimension less than or equal to 3. for . 0. Here again our primary tool is commutative algebra.

Regurgitation

Noether-Lefschetz Locus and a Special Case of the Variational Hodge Conjecture: Using Elementary Teesimal variation of Hodge structures of hypersurfaces in ℙ., we determine all non-reduced components with codimension less than or equal to 3. for . 0. Here again our primary tool is commutative algebra.

Arrhythmia

周年纪念日

On the Bumpy Fundamental Group Scheme,efined over a field and when it is defined over a Dedekind scheme. It classifies all the finite (or quasi-finite) fpqc torsors over .. When . is defined over a noetherian regular scheme . of any dimension we do not know if such an object can be constructed. This is why we introduce a new category, c

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Heat Kernels, Bergman Kernels, and Cusp Forms,lying techniques coming from analytic geometry is based on the micro-local analysis of the heat kernel and the Bergman kernel from [3] and [2], respectively, using which we derive sup-norm bounds for cusp forms of integral weight, half-integral weight, and real weight associated to a Fuchsian subgro

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On a Conjecture of Butler,a smooth curve .. Given a subspace . of the space of sections of . which generates ., the kernel . of the evaluation map . is called a Syzygy bundle or a Kernel bundle or a Lazarfeld bundle. These bundles have several applications, applications to Syzygy problems, Greens conjectures, Minimal Resolut

HERE

A Survey of Ulrich Bundles,dles, their elementary properties, and we give an exposition of the known results in their classification on various kinds of smooth projective varieties. As an illustration of a method recently used by Marta Casanellas and Robin Hartshorne for the classification of Ulrich bundles on a cubic surface

Frequency

Noether-Lefschetz Locus and a Special Case of the Variational Hodge Conjecture: Using Elementary Tehe condition: .(.ℂ) ∩ .(.ℚ) . ℚ. An irreducible component of the Noether-Lefschetz locus is locally a Hodge locus. One question is to ask under what choice of a Hodge class γ.(.ℂ) ∩ .(. ℚ) does the variational Hodge conjecture hold true? In this article we use methods coming from commutative algebra

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