Singularities of integrals: Homology, hyperfunctions and by Frédéric Pham

By Frédéric Pham

Bringing jointly primary texts from Frédéric Pham’s study on singular integrals, the 1st a part of this ebook makes a speciality of topological and geometrical points whereas the second one explains the analytic technique. utilizing notions built by means of J. Leray within the calculus of residues in different variables and R. Thom’s isotopy theorems, Frédéric Pham’s foundational learn of the singularities of integrals lies on the interface among research and algebraic geometry, culminating within the Picard-Lefschetz formulae. those mathematical buildings, enriched through the paintings of Nilsson, are then approached utilizing tools from the idea of differential equations and generalized from the perspective of hyperfunction thought and microlocal analysis.

Providing a ‘must-have’ advent to the singularities of integrals, a couple of supplementary references additionally provide a handy consultant to the themes covered.

This e-book will entice either mathematicians and physicists with an curiosity within the region of singularities of integrals.

Frédéric Pham, now retired, was once Professor on the collage of great. He has released numerous academic and study texts. His fresh paintings issues semi-classical research and resurgent functions.

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Contributions to Algebraic Geometry: Impanga Lecture Notes by Piotr Pragacz

By Piotr Pragacz

The articles during this quantity are the result of the Impanga convention on Algebraic Geometry in 2010 on the Banach middle in Bedlewo. the subsequent spectrum of issues is roofed: K3 surfaces and Enriques surfaces Prym kinds and their moduli invariants of singularities in birational geometry differential types on singular areas minimum version software linear platforms toric forms Seshadri and packing constants equivariant cohomology Thom polynomials mathematics questions the most goal of the quantity is to provide accomplished introductions to the above subject matters, ranging from an trouble-free point and finishing with a dialogue of present learn. the 1st 4 subject matters are represented through the notes from the mini classes held through the convention. within the articles, the reader will locate classical effects and strategies, in addition to sleek ones. This e-book is addressed to researchers and graduate scholars in algebraic geometry, singularity concept, and algebraic topology. lots of the fabric during this quantity has no longer but seemed in booklet shape. A booklet of the ecu Mathematical Society (EMS). allotted in the Americas via the yank Mathematical Society.

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Axiomization of Passage from "Local" Structure to "Global" by Paul Feit

By Paul Feit

Requiring basically familiarity with the terminology of different types, this e-book will curiosity algebraic geometers and scholars learning schemes for the 1st time. Feit interprets the geometric instinct of neighborhood constitution right into a merely express structure, filling a spot on the foundations of algebraic geometry. the most result's that, given an preliminary classification ${\mathcal C}$ of ""local"" items and morphisms, there's a canonical growth of ${\mathcal C}$ to a class ${\mathcal C}^{gl}$ which incorporates all 'global' items whose neighborhood constitution derives from ${\mathcal C}$ and that's functorially corresponding to the conventional suggestion of 'global objects'. utilizing this method, Feit unifies definitions for varied technical items of algebraic geometry, together with schemes, Tate's inflexible analytic areas, and algebraic areas.

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The Arithmetic of Elliptic Curves (Graduate Texts in by Joseph H. Silverman

By Joseph H. Silverman

The idea of elliptic curves is distinctive by way of its lengthy historical past and by way of the variety of the tools which have been utilized in its research. This publication treats the mathematics technique in its glossy formula, by utilizing simple algebraic quantity concept and algebraic geometry. Following a short dialogue of the mandatory algebro-geometric effects, the e-book proceeds with an exposition of the geometry and the formal team of elliptic curves, elliptic curves over finite fields, the advanced numbers, neighborhood fields, and international fields. ultimate chapters care for imperative and rational issues, together with Siegels theorem and specific computations for the curve Y = X + DX, whereas 3 appendices finish the total: Elliptic Curves in features 2 and three, staff Cohomology, and an summary of extra complicated issues.

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Fractured Fractals and Broken Dreams: Self-Similar Geometry by Guy David

By Guy David

Fractal styles have emerged in lots of contexts, yet what precisely is a trend? How can one make distinctive the constructions mendacity inside items and the relationships among them? This publication proposes new notions of coherent geometric constitution to supply a clean method of this standard box. It develops a brand new notion of self-similarity referred to as "BPI" or "big items of itself," which makes the sector a lot more uncomplicated for individuals to go into. This new framework is sort of huge, besides the fact that, and has the aptitude to steer to major discoveries. The textual content covers a variety of open difficulties, huge and small, and numerous examples with varied connections to different elements of arithmetic. even supposing fractal geometries come up in lots of other ways mathematically, evaluating them has been tough. This new method combines accessibility with strong instruments for evaluating fractal geometries, making it an amazing resource for researchers in numerous parts to discover either universal floor and simple information.

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An Invitation to Algebraic Geometry by Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, Visit

By Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, Visit Amazon's William Traves Page, search results, Learn about Author Central, William Traves,

It is a description of the underlying rules of algebraic geometry, a few of its vital advancements within the 20th century, and a few of the issues that occupy its practitioners this day. it truly is meant for the operating or the aspiring mathematician who's surprising with algebraic geometry yet needs to realize an appreciation of its foundations and its pursuits with at the least must haves. Few algebraic necessities are presumed past a uncomplicated path in linear algebra.

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A basic course in algebraic topology by Massey

By Massey

This publication is meant to function a textbook for a direction in algebraic topology in the beginning graduate point. the most subject matters lined are the category of compact 2-manifolds, the basic team, masking areas, singular homology conception, and singular cohomology idea. those themes are constructed systematically, keeping off all unecessary definitions, terminology, and technical equipment. at any place attainable, the geometric motivation in the back of many of the techniques is emphasised. The textual content comprises fabric from the 1st 5 chapters of the author's previous publication, ALGEBRAIC TOPOLOGY: AN creation (GTM 56), including just about all of the now out-of- print SINGULAR HOMOLOGY thought (GTM 70). the cloth from the sooner books has been conscientiously revised, corrected, and taken modern.

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