Free Download The Geometry of Cubic Hypersurfaces
English | 2023 | ISBN: 1009280007 | 461 Pages | PDF | 3 MB
Cubic hypersurfaces are described by almost the simplest possible polynomial equations, yet their behaviour is rich enough to demonstrate many of the central challenges in algebraic geometry. With exercises and detailed references to the wider literature, this thorough text introduces cubic hypersurfaces and all the techniques needed to study them. The book starts by laying the foundations for the study of cubic hypersurfaces and of many other algebraic varieties, covering cohomology and Hodge theory of hypersurfaces, moduli spaces of those and Fano varieties of linear subspaces contained in hypersurfaces. The next three chapters examine the general machinery applied to cubic hypersurfaces of dimension two, three, and four. Finally, the author looks at cubic hypersurfaces from a categorical point of view and describes motivic features. Based on the author's lecture courses, this is an ideal text for graduate students as well as an invaluable reference for researchers in algebraic geometry.
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Band Structure of Cubic Hydrides
English | 2023 | ISBN: 3031068777 | 777 Pages | PDF EPUB (True) | 202 MB
This book compiles detailed results of electronic structure calculations for most possible cubic monohydrides, dihydrides and selected trihydrides related to superconductivity, comprising elements with atomic numbers up to 103. Beginning with an introduction to the theory and details of the computational methods implemented, this handbook presents a collection of chapters containing results for different classes of cubic hydrides, featuring tables of three-centre and two-centre tight-binding parameterizations, diagrams of energy bands, and densities of states with angular momentum decomposition. Equilibrium lattice parameters and bulk moduli are also included, along with the electron-ion matrix element (Hopfield-McMillan parameter), Stoner criterion for ferromagnetism and values of Fermi velocities and plasmon energies. Each chapter features a brief text explaining the results presented with comparison to experimental values when available. A selection of the implemented computer codes is reproduced for the reader's own use. This handbook is an ideal complement to any standard electronic structure text for students and researchers in materials science, condensed matter physics, and quantum chemistry.
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