2017, Student mathematical library, ISBN 9781470435820, Volume 83., xii, 250 pages

Book

2017, Graduate studies in mathematics, ISBN 9781470437732, Volume 186., xv, 337 pages

Book

2016, Mathematical surveys and monographs, ISBN 1470424088, Volume 210, xiii, 280

Arithmetic algebraic geometry (Diophantine geometry) | Mordell conjecture | Varieties over global fields | Varieties over finite and local fields | Varieties and morphisms | Curves, Algebraic | Arithmetical algebraic geometry | Arithmetic and non-Archimedean dynamical systems | Polynomials; rational maps; entire and meromorphic functions | Research exposition (monographs, survey articles) | Foundations | Complex dynamical systems | Arithmetic dynamics on general algebraic varieties | Non-Archimedean local ground fields | Dynamical systems and ergodic theory | Algebraic geometry | Number theory | Geometry, Algebraic

Book

2006, New mathematical monographs, ISBN 0521846153, Volume 4, xvi, 652

Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem...

Arithmetical algebraic geometry | Mathematics

Arithmetical algebraic geometry | Mathematics

Book

2014, CRM monograph series, ISBN 9781470419127, Volume 35., v, 152

Number theory -- Discontinuous groups and automorphic forms -- Theta series; Weil representation; theta correspondences | Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Arithmetic aspects of modular and Shimura varieties | Number theory -- Discontinuous groups and automorphic forms -- Relations with algebraic geometry and topology | Arithmetical algebraic geometry | Shimura varieties | Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic varieties and schemes; Arakelov theory; heights | Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Modular and Shimura varieties

Book

2013, Mathematical surveys and monographs, ISBN 1470409801, Volume 193, xxvi, 437

Book

2011, Fields Institute communications, ISBN 0821852264, Volume 60., x, 288

Book

2011, Student mathematical library : IAS/Park City mathematical subseries, ISBN 0821852426, Volume 58, xiv, 195

Book

2014, Mathematical surveys and monographs, ISBN 9781470418823, Volume 198, viii, 267

Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Heights | Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Global ground fields | Number theory -- Explicit machine computation and programs (not the theory of computation or programming) | Rational points (Geometry) | Algebraic varieties | Brauer groups | Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Varieties over global fields | Associative rings and algebras -- Division rings and semisimple Artin rings -- Brauer groups | Algebraic geometry -- (Co)homology theory -- Brauer groups of schemes | Geometry, Algebraic

Book

2017, Mathematical surveys and monographs, ISBN 147043623X, Volume no. 222., x, 344 pages

"The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry...

Forms and linear algebraic groups | Classical groups | Geometry, Differential | Number theory

Forms and linear algebraic groups | Classical groups | Geometry, Differential | Number theory

Book

2016, ISBN 9781470427245, xiv, 352 pages

Book

2014, Translations of mathematical monographs, ISBN 9781470410742, Volume 244, ix, 285

Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Heights | Arakelov theory | Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Height functions; Green functions; invariant measures | Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic varieties and schemes; Arakelov theory; heights | Geometry, Algebraic

Book

13.
Toric topology

2015, Mathematical surveys and monographs, ISBN 147042214X, Volume no. 204., xiii, 518 pages

Book

2014, Mathematical surveys and monographs, ISBN 9781470410148, Volume no. 195., ix, 387

Abelian varieties with complex multiplication lie at the origins of class field theory, and they play a central role in the contemporary theory of Shimura...

Abelian varieties | Multiplication, Complex | Lifting theory

Abelian varieties | Multiplication, Complex | Lifting theory

Book

2015, Contemporary mathematics: Centre de Recherches Mathématiques Proceedings, ISBN 1470414589, Volume 654., vii, 165

... connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in Diophantine approximation.

Rational points (Geometry) | Arithmetical algebraic geometry | Geometry, Algebraic

Rational points (Geometry) | Arithmetical algebraic geometry | Geometry, Algebraic

Book

2010, Fields Institute communications, ISBN 0821843117, Volume 58, iv, 133

Book

2015, Volume 637.

Conference Proceeding

1994, 2nd rev. ed., Aspects of mathematics. E, ISBN 3528064336, Volume 18, 245

Book

2018, 1, Monographs and research notes in mathematics, ISBN 1498744648, Volume 1, xiii, 141 pages

This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry...

Sphere | Curves on surfaces | Surfaces, Algebraic | Geometry, Differential | Geometry | Applied Mathematics | Mathematical Physics

Sphere | Curves on surfaces | Surfaces, Algebraic | Geometry, Differential | Geometry | Applied Mathematics | Mathematical Physics

Book

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