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Geometria

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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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Geometria descriptiva.

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This volume collects part of the work carried out during the first year of the II level Master's Degree "Trainer Profession in Mathematics Education", organized by the University of Turin, Faculty of Mathematics. In particular it collects the reflection works and the didactic proposals that the various groups have developed during the course of Geometry held by Professor Ornella Robutti. Three activities M@t.abel (The master tree, The clock and Let's explore flat figures) are analyzed, proposing for each of the adaptations to different school orders, some reflections on the evaluation and INVALSI in particular. The content of this book is centered on a laboratory approach to Geometry and is intended for all teachers who intend to experiment with our proposals.

matematica --- geometria --- unito

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Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.

Geometry, Algebraic. --- Topology. --- Geometria algebraica