Punctual Hilbert Schemes PDF Download
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Author | : Anthony Ayers Iarrobino |
Publisher | : American Mathematical Soc. |
Total Pages | : 124 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : 0821821881 |
Download Punctual Hilbert Schemes Book in PDF, ePub and Kindle
This paper is about the structure of families of open ideals in the ring [italic]R of power series in two variables. The Hilbert scheme Hilb[italic superscript]n [italic]R parametrizing them is stratified into locally closed subschemes [italic]Z[italic subscript]T, whose dimensions we calculate.
Author | : Anthony Ayers Iarrobino |
Publisher | : |
Total Pages | : 112 |
Release | : 1977 |
Genre | : Hilbert schemes |
ISBN | : 9781470400545 |
Download Punctual Hilbert Schemes Book in PDF, ePub and Kindle
Author | : Hwa Young Lee |
Publisher | : |
Total Pages | : 164 |
Release | : 2009 |
Genre | : Hilbert schemes |
ISBN | : |
Download The Flag Hilbert Scheme of Points of Nodal Curves and the Punctual Hilbert Scheme of Points of the Cusp Curve Book in PDF, ePub and Kindle
Author | : Lothar Göttsche |
Publisher | : Springer |
Total Pages | : 212 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : |
Download Hilbert Schemes of Zero-dimensional Subschemes of Smooth Varieties Book in PDF, ePub and Kindle
In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry. The main aim here is to describe their cohomology and Chow rings. Some enumerative applications are also given. The Weil conjectures are used to compute the Betti numbers of many of the varieties considered, thus also illustrating how this powerful tool can be applied. The book is essentially self-contained, assuming only a basic knowledge of algebraic geometry; it is intended both for graduate students and research mathematicians interested in Hilbert schemes, enumertive geometry and moduli spaces.
Author | : Hiraku Nakajima |
Publisher | : American Mathematical Soc. |
Total Pages | : 146 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821819569 |
Download Lectures on Hilbert Schemes of Points on Surfaces Book in PDF, ePub and Kindle
It has been realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theory - even theoretical physics. This book reflects this feature of Hilbert schemes.
Author | : Zhenbo Qin |
Publisher | : American Mathematical Soc. |
Total Pages | : 336 |
Release | : 2018-02-26 |
Genre | : Hilbert schemes |
ISBN | : 1470441888 |
Download Hilbert Schemes of Points and Infinite Dimensional Lie Algebras Book in PDF, ePub and Kindle
Hilbert schemes, which parametrize subschemes in algebraic varieties, have been extensively studied in algebraic geometry for the last 50 years. The most interesting class of Hilbert schemes are schemes of collections of points (zero-dimensional subschemes) in a smooth algebraic surface . Schemes turn out to be closely related to many areas of mathematics, such as algebraic combinatorics, integrable systems, representation theory, and mathematical physics, among others. This book surveys recent developments of the theory of Hilbert schemes of points on complex surfaces and its interplay with infinite dimensional Lie algebras. It starts with the basics of Hilbert schemes of points and presents in detail an example of Hilbert schemes of points on the projective plane. Then the author turns to the study of cohomology of , including the construction of the action of infinite dimensional Lie algebras on this cohomology, the ring structure of cohomology, equivariant cohomology of and the Gromov–Witten correspondence. The last part of the book presents results about quantum cohomology of and related questions. The book is of interest to graduate students and researchers in algebraic geometry, representation theory, combinatorics, topology, number theory, and theoretical physics.
Author | : Lothar Göttsche |
Publisher | : Springer |
Total Pages | : 207 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540483381 |
Download Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties Book in PDF, ePub and Kindle
In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry. The main aim here is to describe their cohomology and Chow rings. Some enumerative applications are also given. The Weil conjectures are used to compute the Betti numbers of many of the varieties considered, thus also illustrating how this powerful tool can be applied. The book is essentially self-contained, assuming only a basic knowledge of algebraic geometry; it is intended both for graduate students and research mathematicians interested in Hilbert schemes, enumertive geometry and moduli spaces.
Author | : Eduard Casas-Alvero |
Publisher | : Springer |
Total Pages | : 426 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540396438 |
Download Algebraic Geometry, Sitges (Barcelona) 1983 Book in PDF, ePub and Kindle
Author | : Spencer Bloch |
Publisher | : American Mathematical Soc. |
Total Pages | : 521 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : 082181480X |
Download Algebraic Geometry Book in PDF, ePub and Kindle
Author | : Andrea T. Ricolfi |
Publisher | : Springer Nature |
Total Pages | : 310 |
Release | : 2022-12-14 |
Genre | : Mathematics |
ISBN | : 303111499X |
Download An Invitation to Modern Enumerative Geometry Book in PDF, ePub and Kindle
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.