Algebraic geometry

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry.

This collection of essays aims to promote constructive mathematics, not by defining it or formalizing it, but by practicing it.

The proceedings from the Abel Symposium on Geometry of Moduli, held at Svinoya Rorbuer, Svolvaer in Lofoten, in August 2017, present both survey and research articles on the recent surge of developments in understanding moduli problems in algebraic geometry.

This volume of expository papers is the outgrowth of a conference in combinatorics and invariant theory.

In Commutative Algebra certain /-adic filtrations of Noetherian rings, i.

A comprehensive, self-contained treatment presenting general results of the theory.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives.

The articles in this volume study various cohomological aspects of algebraic varieties:- characteristic classes of singular varieties;- geometry of flag varieties;- cohomological computations for homogeneous spaces;- K-theory of algebraic varieties;- quantum cohomology and Gromov-Witten theory.

Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people who want to approach this important field, and also for established researchers, who will find references, problems, original expositions, new viewpoints, etc.

The theory of hyperbolic groups has its starting point in a fundamental paper by M.

This book lays out the theory of Mordell-Weil lattices, a very powerful and influential tool at the crossroads of algebraic geometry and number theory, which offers many fruitful connections to other areas of mathematics.

From the reviews: "e;This book gives a thorough introduction to several theories that are fundamental to research on modular forms.

This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanta, Romania, on August 26-September 1, 2018.

The contributions making up this volume are expanded versions of the courses given at the C.

How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics?

A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume.

Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques.

This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors.

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry.

This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors.

An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions.

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program.

An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

This volume contains extended abstracts outlining selected talks and other selected presentations given by participants of the workshop "e;Positivity and Valuations"e;, held at the Centre de Recerca Matematica (CRM) in Barcelona from February 22nd to 26th, 2016.

Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations.

Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.

This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the "e;Higher homotopical structures"e; programme.

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups).

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact.

This thesis deals with specific featuresof the theory of holomorphic dynamics in dimension 2 and then sets out to studyanalogous questions in higher dimensions, e.

This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014.

This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1.

This book gives a systematic presentation of real algebraic varieties.

The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y.

Trends in the Theory and Practice of Non-Linear Analysis

Intensional and Higher-Order Modal Logic

Topics in Arithmetical Functions

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Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion through a wide range of topics.

This study of graded rings includes the first systematic account of graded Grothendieck groups.

Oscar Zariski's work in mathematics permanently altered the foundations of algebraic geometry.

Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety.

This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011.