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Geometría descriptiva --- Geometría descriptiva.

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Geometria descriptiva.

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Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler-Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. The book's solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, the book presents many different techniques to prove the existence of a Kähler-Einstein metric, containing many additional relevant results such as the classification of all Kähler-Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces. This book will be essential reading for researchers and graduate students working on algebraic geometry and complex geometry.

Geometria algebraica

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Geometría --- Matemáticas --- Historia. --- Historia.

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Despite being present in the National Indications, the teaching of solid geometry is often put in the background in common teaching practice for its conceptual difficulties and broad theoretical prerequisites. This volume aims to offer a proposal of constructive teaching of solid geometry based on the use of ZOMETOOL, an innovative teaching tool suitable for constructing both two-dimensional and three-dimensional figures. The methodology adopted is that of the mathematics laboratory, guided by cards, in order to stimulate discussion among students in individual groups, focusing both on the motivational lever given by the discovery and on the autonomous construction of mathematical meanings. The volume presents the activities proposed in the 2013/14 and 2014/15 school years in various secondary schools in the province of Turin and the results of the students and the critical issues that emerged during the work are analyzed. This work is therefore configured as a tool to guide the teacher in carrying out the activities in the classroom and to provide useful tips for the design of new learning courses.

Mathematics. --- Geometry. --- matematica --- zoometrol --- geometria --- matematica --- zoometrol --- geometria