An Invitation to Modern Enumerative Geometry (Hardcover, 1st ed. 2022)

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 the book and to make the text itself as self-contained as possible.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	SISSA Springer Series, 3
Release date:	December 2022
First published:	2022
Authors:	Andrea T. Ricolfi
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	302
Edition:	1st ed. 2022
ISBN-13:	978-3-03-111498-4
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	3-03-111498-1
Barcode:	9783031114984

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