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Titlebook: An Invitation to Modern Enumerative Geometry; Andrea T. Ricolfi Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

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期刊全称An Invitation to Modern Enumerative Geometry
影响因子2023Andrea T. Ricolfi
视频video
发行地址Illustrates a sophisticated theory starting from elementary examples.Useful guide towards research in several areas of math.Contains background results hard to find in specialised papers
学科分类SISSA Springer Series
图书封面Titlebook: An Invitation to Modern Enumerative Geometry;  Andrea T. Ricolfi Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive
影响因子.This book is based on a series of lectures given by the author at SISSA, Trieste, within the PhD courses. .Techniques in enumerative geometry. (2019). .and .Localisation in enumerative geometry. (2021). The goal of this book is to provide a gentle introduction, aimed mainly at graduate students, to the fast-growing subject of enumerative geometry and, more specifically, .counting invariants. in algebraic geometry. In addition to the more advanced techniques explained and applied in full detail to concrete calculations, the book contains the proofs of several background results, important for the foundations of the theory. In this respect, this text is conceived for PhD students or research “beginners” in the field of enumerative geometry or related areas. This book can be read as an introduction to Hilbert schemes and Quot schemes on 3-folds but also as an introduction to .localisation formulae. in enumerative geometry. It is meant to be accessible without a strong background in algebraic geometry; however, three appendices (one on deformation theory, one on intersection theory, one on virtual fundamental classes) are meant to help the reader dive deeper into the main material of
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,Tabus —das passiert bei uns nicht,ry, European Mathematical Society, Zürich, EMS Series of Congress Reports, 2012). 16th School of Algebra, Part I (Brasília, 2000). We note that the results hold in equivariant Chow theory, but for the purpose of our applications we content ourselves with equivariant cohomology.
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,The Atiyah–Bott Localisation Formula,ry, European Mathematical Society, Zürich, EMS Series of Congress Reports, 2012). 16th School of Algebra, Part I (Brasília, 2000). We note that the results hold in equivariant Chow theory, but for the purpose of our applications we content ourselves with equivariant cohomology.
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Book 2022. .and .Localisation in enumerative geometry. (2021). The goal of this book is to provide a gentle introduction, aimed mainly at graduate students, to the fast-growing subject of enumerative geometry and, more specifically, .counting invariants. in algebraic geometry. In addition to the more advance
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,Veränderungen und Krisen im Unternehmen,’ than bare numbers, can be defined via virtual classes. This is for instance the point of view of Okounkov’s lecture notes on K-theoretic enumerative geometry [184]..This first chapter, in which we work entirely over . for the sake of concreteness, is a slow motion tour through the unexpected diffi
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