Posted in Algebraic Geometry

Sheaves on manifolds - download pdf or read online

By Masaki Kashiwara, Pierre Schapira

ISBN-10: 3540518614

ISBN-13: 9783540518617

From the studies: This booklet is dedicated to the learn of sheaves by way of microlocal methods..(it) may well function a reference resource in addition to a textbook in this new topic. Houzel's ancient evaluation of the advance of sheaf concept will establish vital landmarks for college students and should be a excitement to learn for experts. Math. stories 92a (1992). The publication is obviously and accurately written, and includes many attention-grabbing rules: it describes a complete, mostly new department of mathematics.(...)The e-book will be strongly suggested to a more youthful mathematician enthusiastic to assimilate a brand new variety of recommendations permitting versatile program to a large choice of difficulties. Bull. L.M.S. (1992)

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Download PDF by Alexander D. Poularikas: The Transforms and Applications Handbook, Second Edition

By Alexander D. Poularikas

ISBN-10: 0849385954

ISBN-13: 9780849385957

This ebook is largely a suite of monographs, each one on a distinct crucial rework (and such a lot by way of assorted authors). There are extra sections that are common references, yet they're most likely redundant to most folk who would really be utilizing this book.

The ebook is a piece weighted in the direction of Fourier transforms, yet i discovered the Laplace and Hankel remodel sections excellent additionally. I additionally realized much approximately different transforms i did not be aware of a lot approximately (e.g., Mellin and Radon transforms).

This e-book could be the top reference in the market for non-mathematicians relating to indispensable transforms, in particular in regards to the lesser-known transforms. there are many different books on Laplace and Fourier transforms, yet now not so on many of the others.

I loved the labored examples for nearly every one very important estate of every rework. For me, that's how I research this stuff.

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Posted in Algebraic Geometry

Download PDF by Patrick Popescu-Pampu (auth.): What is the Genus?

By Patrick Popescu-Pampu (auth.)

ISBN-10: 2730215956

ISBN-13: 9782730215954

ISBN-10: 3319423118

ISBN-13: 9783319423111

ISBN-10: 3319423126

ISBN-13: 9783319423128

Exploring numerous of the evolutionary branches of the mathematical inspiration of genus, this booklet lines the belief from its prehistory in difficulties of integration, via algebraic curves and their linked Riemann surfaces, into algebraic surfaces, and eventually into larger dimensions. Its significance in research, algebraic geometry, quantity idea and topology is emphasised via many theorems. nearly each bankruptcy is equipped round excerpts from a learn paper during which a brand new point of view used to be caused the genus or on one of many gadgets to which this inspiration applies. the writer was once inspired via the assumption topic may possibly top be understood and communicated by way of learning its huge traces of improvement, feeling the way in which one arrives on the definitions of its primary notions, and appreciating the volume of attempt spent which will discover its phenomena.

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Posted in Algebraic Geometry

Download PDF by Alexandru Dimca: Singularities and Topology of Hypersurfaces

By Alexandru Dimca

ISBN-10: 0387977090

ISBN-13: 9780387977096

ISBN-10: 3540977090

ISBN-13: 9783540977094

This publication systematically offers a number of uncomplicated effects at the topology of advanced algebraic types utilizing the knowledge at the neighborhood topology and geometry of a singularity. those ideas are then utilized in the computation of worldwide topological invariants, resembling homology teams, cohomology teams, primary teams, and Alexander polynomials. The reader will derive from this article a operating wisdom of Whitney stratifications, Lefschetz-type theorems, knots and hyperlinks, Milnor fibrations, vanishing cycles, weighted projective area, combined Hodge constructions and lots of different comparable notions and effects. The ebook is meant for graduate paintings in algebraic and differential topology, and is a superb resource of traditional examples and open-ended difficulties for the coed engaged on a dissertation.

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Download e-book for iPad: Vector Bundles on Complex Projective Spaces by Christian Okonek

By Christian Okonek

ISBN-10: 1475714602

ISBN-13: 9781475714609

ISBN-10: 1475714629

ISBN-13: 9781475714623

These lecture notes are meant as an creation to the equipment of class of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as attainable we now have normally limited ourselves to the case X = Fn. in accordance with Serre (GAGA) the class of holomorphic vector bundles is resembling the type of algebraic vector bundles. right here we have now used nearly completely the language of analytic geometry. The ebook is meant for college students who've a easy wisdom of analytic and (or) algebraic geometry. a few funda­ psychological effects from those fields are summarized before everything. one of many authors gave a survey within the Seminaire Bourbaki 1978 at the present country of the type of holomorphic vector bundles overFn. This lecture then served because the foundation for a process lectures in Gottingen within the iciness Semester 78/79. the current paintings is a longer and up-dated exposition of that direction. a result of introductory nature of this publication now we have needed to omit a few tough themes equivalent to the restrict theorem of Barth. As reimbursement we now have appended to every sec­ tion a paragraph within which ancient feedback are made, extra effects indicated and unsolved difficulties provided. The e-book is split into chapters. every one bankruptcy is subdivided into a number of sections which in flip are made from a few paragraphs. each one part is preceeded by way of a quick description of iv its contents.

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Download e-book for iPad: Lectures on Algebraic Geometry I: Sheaves, Cohomology of by Prof. Dr. Günter Harder (auth.)

By Prof. Dr. Günter Harder (auth.)

ISBN-10: 3528031360

ISBN-13: 9783528031367

ISBN-10: 3834895016

ISBN-13: 9783834895011

This e-book and the subsequent moment quantity is an advent into sleek algebraic geometry. within the first quantity the equipment of homological algebra, thought of sheaves, and sheaf cohomology are constructed. those tools are crucial for contemporary algebraic geometry, yet also they are primary for different branches of arithmetic and of significant curiosity of their own.
within the final bankruptcy of quantity I those innovations are utilized to the idea of compact Riemann surfaces. during this bankruptcy the writer makes transparent how influential the tips of Abel, Riemann and Jacobi have been and that some of the smooth tools were expected through them.

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Download PDF by James D. Lewis: A survey of the Hodge conjecture

By James D. Lewis

ISBN-10: 0821805681

ISBN-13: 9780821805688

This e-book presents an advent to a subject of vital curiosity in transcendental algebraic geometry: the Hodge conjecture. along with 15 lectures plus addenda and appendices, the amount is predicated on a chain of lectures introduced via Professor Lewis on the Centre de Recherches Mathematiques (CRM). The ebook is a self-contained presentation, thoroughly dedicated to the Hodge conjecture and similar issues. It comprises many examples, and so much effects are thoroughly confirmed or sketched. the inducement at the back of a few of the effects and historical past fabric is equipped. This complete method of the e-book offers it a ``user-friendly'' variety. Readers don't need to seek in different places for varied effects. The e-book is acceptable to be used as a textual content for a subject matters direction in algebraic geometry; comprises an appendix via B. Brent Gordon.

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Introduction to Intersection Theory in Algebraic Geometry - download pdf or read online

By William Fulton

ISBN-10: 0821807048

ISBN-13: 9780821807040

This e-book introduces a number of the major principles of recent intersection concept, strains their origins in classical geometry and sketches a number of common purposes. It calls for little technical historical past: a lot of the cloth is out there to graduate scholars in arithmetic. A large survey, the e-book touches on many subject matters, most significantly introducing a robust new technique constructed through the writer and R. MacPherson. It used to be written from the expository lectures brought on the NSF-supported CBMS convention at George Mason collage, held June 27-July 1, 1983. the writer describes the development and computation of intersection items by way of the geometry of standard cones. on the subject of appropriately intersecting kinds, this yields Samuel's intersection multiplicity; on the different severe it supplies the self-intersection formulation when it comes to a Chern type of the conventional package; regularly it produces the surplus intersection formulation of the writer and R. MacPherson. one of the functions provided are formulation for degeneracy loci, residual intersections, and a number of aspect loci; dynamic interpretations of intersection items; Schubert calculus and strategies to enumerative geometry difficulties; Riemann-Roch theorems.

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Download e-book for iPad: Complex multiplication and lifting problems by Ching-Li Chai, Visit Amazon's Brian Conrad Page, search

By Ching-Li Chai, Visit Amazon's Brian Conrad Page, search results, Learn about Author Central, Brian Conrad, , Frans Oort

ISBN-10: 1470410141

ISBN-13: 9781470410148

Abelian forms with complicated multiplication lie on the origins of sophistication box thought, they usually play a valuable position within the modern concept of Shimura forms. they're unique in attribute zero and ubiquitous over finite fields. This e-book explores the connection among such abelian kinds over finite fields and over arithmetically attention-grabbing fields of attribute zero through the examine of a number of ordinary CM lifting difficulties which had formerly been solved simply in particular situations. as well as giving entire options to such questions, the authors supply a number of examples to demonstrate the overall thought and current a close remedy of many basic effects and ideas within the mathematics of abelian forms, similar to the most Theorem of complicated Multiplication and its generalizations, the finer facets of Tate's paintings on abelian kinds over finite fields, and deformation concept. This booklet presents an awesome representation of the way sleek ideas in mathematics geometry (such as descent conception, crystalline equipment, and workforce schemes) might be fruitfully mixed with classification box idea to reply to concrete questions on abelian types. it will likely be an invaluable reference for researchers and complex graduate scholars on the interface of quantity thought and algebraic geometry

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