Punctual Hilbert Schemes

Author : Anthony Ayers Iarrobino
Publisher : American Mathematical Soc.
ISBN 13 : 0821821881
Total Pages : 124 pages
Book Rating : 4.86/5 ( download)

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Download or read book Punctual Hilbert Schemes written by Anthony Ayers Iarrobino and published by American Mathematical Soc.. This book was released on 1977 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
ISBN 13 : 9781470400545
Total Pages : 112 pages
Book Rating : 4.45/5 ( download)

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Download or read book Punctual Hilbert Schemes written by Anthony Ayers Iarrobino and published by . This book was released on 1977 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Hwa Young Lee
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.61/5 ( download)

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Download or read book The Flag Hilbert Scheme of Points of Nodal Curves and the Punctual Hilbert Scheme of Points of the Cusp Curve written by Hwa Young Lee and published by . This book was released on 2009 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Lothar Göttsche
Publisher : Springer
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.36/5 ( download)

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Download or read book Hilbert Schemes of Zero-dimensional Subschemes of Smooth Varieties written by Lothar Göttsche and published by Springer. This book was released on 1994 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
ISBN 13 : 0821819569
Total Pages : 146 pages
Book Rating : 4.62/5 ( download)

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Download or read book Lectures on Hilbert Schemes of Points on Surfaces written by Hiraku Nakajima and published by American Mathematical Soc.. This book was released on 1999 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
ISBN 13 : 1470441888
Total Pages : 336 pages
Book Rating : 4.83/5 ( download)

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Download or read book Hilbert Schemes of Points and Infinite Dimensional Lie Algebras written by Zhenbo Qin and published by American Mathematical Soc.. This book was released on 2018-02-26 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3540483381
Total Pages : 207 pages
Book Rating : 4.80/5 ( download)

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Download or read book Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties written by Lothar Göttsche and published by Springer. This book was released on 2006-11-15 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3540396438
Total Pages : 426 pages
Book Rating : 4.37/5 ( download)

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Download or read book Algebraic Geometry, Sitges (Barcelona) 1983 written by Eduard Casas-Alvero and published by Springer. This book was released on 2006-11-14 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Spencer Bloch
Publisher : American Mathematical Soc.
ISBN 13 : 082181480X
Total Pages : 521 pages
Book Rating : 4.02/5 ( download)

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Download or read book Algebraic Geometry written by Spencer Bloch and published by American Mathematical Soc.. This book was released on 1987 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Andrea T. Ricolfi
Publisher : Springer Nature
ISBN 13 : 303111499X
Total Pages : 310 pages
Book Rating : 4.91/5 ( download)

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Download or read book An Invitation to Modern Enumerative Geometry written by Andrea T. Ricolfi and published by Springer Nature. This book was released on 2022-12-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.