Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli write by Javier Fernández de Bobadilla. This book was released on 2024-07-25. Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli available in PDF, EPUB and Kindle. View the abstract.
Handbook of Geometry and Topology of Singularities I
Handbook of Geometry and Topology of Singularities I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Geometry and Topology of Singularities I write by José Luis Cisneros Molina. This book was released on 2020-10-24. Handbook of Geometry and Topology of Singularities I available in PDF, EPUB and Kindle. This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject. This is the first volume in a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
Quasi-projective Moduli for Polarized Manifolds
Quasi-projective Moduli for Polarized Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quasi-projective Moduli for Polarized Manifolds write by Eckart Viehweg. This book was released on 2012-12-06. Quasi-projective Moduli for Polarized Manifolds available in PDF, EPUB and Kindle. The concept of moduli goes back to B. Riemann, who shows in [68] that the isomorphism class of a Riemann surface of genus 9 ~ 2 depends on 3g - 3 parameters, which he proposes to name "moduli". A precise formulation of global moduli problems in algebraic geometry, the definition of moduli schemes or of algebraic moduli spaces for curves and for certain higher dimensional manifolds have only been given recently (A. Grothendieck, D. Mumford, see [59]), as well as solutions in some cases. It is the aim of this monograph to present methods which allow over a field of characteristic zero to construct certain moduli schemes together with an ample sheaf. Our main source of inspiration is D. Mumford's "Geometric In variant Theory". We will recall the necessary tools from his book [59] and prove the "Hilbert-Mumford Criterion" and some modified version for the stability of points under group actions. As in [78], a careful study of positivity proper ties of direct image sheaves allows to use this criterion to construct moduli as quasi-projective schemes for canonically polarized manifolds and for polarized manifolds with a semi-ample canonical sheaf.
Enriques Surfaces I
Enriques Surfaces I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Enriques Surfaces I write by F. Cossec. This book was released on 2012-12-06. Enriques Surfaces I available in PDF, EPUB and Kindle. This is the first of two volumes representing the current state of knowledge about Enriques surfaces which occupy one of the classes in the classification of algebraic surfaces. Recent improvements in our understanding of algebraic surfaces over fields of positive characteristic allowed us to approach the subject from a completely geometric point of view although heavily relying on algebraic methods. Some of the techniques presented in this book can be applied to the study of algebraic surfaces of other types. We hope that it will make this book of particular interest to a wider range of research mathematicians and graduate students. Acknowledgements. The undertaking of this project was made possible by the support of several institutions. Our mutual cooperation began at the University of Warwick and the Max Planck Institute of Mathematics in 1982/83. Most of the work in this volume was done during the visit of the first author at the University of Michigan in 1984-1986. The second author was supported during all these years by grants from the National Science Foundation.
Minimal Free Resolutions over Complete Intersections
Minimal Free Resolutions over Complete Intersections - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Minimal Free Resolutions over Complete Intersections write by David Eisenbud. This book was released on 2016-03-08. Minimal Free Resolutions over Complete Intersections available in PDF, EPUB and Kindle. This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of a non-zero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide range of mathematical fields, from singularity theory to mathematical physics.
