Geometric Methods in Algebra and Number Theory

Inbunden, Engelska, 2004

534 kr

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Beskrivning

The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians. The beauty and persuasion of pictures, communicated in words or drawings, continues to provide the intuition and arguments for working with complicated concepts and structures of modern mathematics. This volume contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory.Key topics include:- Curves and their Jacobians- Algebraic surfaceModuli spaces, Shimura varieties- Motives and motivic integration- Number-theoretic applications, rational points- Combinatorial aspects of algebraic geometry- Quantum cohomology- Arithmetic dynamical systemsThe collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry; the text can serve as an intense introduction for graduate students and those wishing to pursue research in these areas.

Produktinformation

Utgivningsdatum:2004-11-12
Mått:155 x 235 x 23 mm
Vikt:898 g
Format:Inbunden
Språk:Engelska
Serie:Progress in Mathematics
Antal sidor:362
Upplaga:2005
Förlag:Birkhauser Boston Inc
ISBN:9780817643492

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Recensioner i media

From the reviews: "This is a collection of articles on algebraic and arithmetic geometry most of which were presented at a conference that took place in Miami in December 2003. ... this volume will be attractive for researchers and graduate students in arithmetic geometry. The surveys provided can serve as an introduction for them and offer guidance for further study." (Ch. Baxa, Monatshefte fur Mathematik, Vol. 152 (1), September, 2007)

Innehållsförteckning

Beauville surfaces without real structures.- Couniformization of curves over number fields.- On the V-filtration of -modules.- Hecke orbits on Siegel modular varieties.- Ax-Kochen-Eršov Theorems for p-adic integrals and motivic integration.- Nested sets and Jeffrey-Kirwan residues.- Counting extensions of function fields with bounded discriminant and specified Galois group.- Classical and minimal models of the moduli space of curves of genus two.- Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve.- Mahler measure for dynamical systems on ?1 and intersection theory on a singular arithmetic surface.- A Combination of the Conjectures of Mordell-Lang and André-Oort.- Motivic approach to limit sheaves.- Counting points on cubic surfaces, II.- Quantum cohomology of isotropic Grassmannians.- Endomorphism algebras of superelliptic jacobians.