Algebraic geometry

Enumerative geometry is a core area of algebraic geometry that dates back to Apollonius in the second century BCE.

Conjunto de conocimientos matemáticos que pueden aplicarse en arquitectura, tanto durante la carrera como en el ejercicio de esa profesión.

This proceedings volume contains articles related to the research presented at the 2019 Simons Symposium on p-adic Hodge theory.

This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory.

This textbook offers an introduction to abelian varieties, a rich topic of central importance to algebraic geometry.

The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way.

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).

This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics.

Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics.

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

The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry.

This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems.

Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry.

This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000.

This second edition has been completely restructured, resulting in a compelling description of vector analysis from its first appearance as a byproduct of Hamilton's quaternions to the use of vectors in solving geometric problems.

This book gives a systematic presentation of real algebraic varieties.

This book is a remarkable contribution to the literature on dynamical systems and geometry.

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory.

What is spectral action, how to compute it and what are the known examples?

This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles.

Can artificial intelligence learn mathematics?

This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field.

This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic.

This book is an extended and revised version of "e;Numerical Semigroups with Applications,"e; published by Springer as part of the RSME series.

This volume is an outcome of the workshop "e;Moduli of K-stable Varieties"e;, which was held in Rome, Italy in 2017.

Theta functions were studied extensively by Ramanujan.

This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra.

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications.

The volume is a follow-up to the INdAM meeting "e;Special metrics and quaternionic geometry"e; held in Rome in November 2015.

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory.

This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta-a doyen of history of mathematics-written on a variety of important topics pertaining to mathematics and astronomy in India.

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H.

This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations.

This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work.

This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry.

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.

This book is an exposition of recent progress on the Donaldson-Thomas (DT) theory.

This proceedings volume contains articles related to the research presented at the 2019 Simons Symposium on p-adic Hodge theory.

This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics.

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline.

En esta obra se presenta la modelación de la vaguedad, ambigüedad y contradictoriedad, realizada con lógica trivalente y tetravalente y operada por medio de las estructuras algebraicas de Kleene y De Morgan, respectivamente.

This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and PohangThe conferences were focused on the following two related problems:*  existence of Kahler-Einstein metrics on Fano varieties*  degenerations of Fano varietieson which two famous conjectures were recently proved.

This volume collects the lecture notes of the school TiME2019 (Treasures in Mathematical Encounters).

This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics- and in theoretical physics such as quantum field theory and string theory.

As the basis of equations (and therefore problem-solving), linear algebra is the most widely taught sub-division of pure mathematics.

This is the fifth volume of the Handbook of Geometry and Topology of Singularities, 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.

Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view.

This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016.