The Many Facets of Geometry: A Tribute to Nigel Hitchin (Oxford Science Publications)

Few humans have proved extra influential within the box of differential and algebraic geometry, and in exhibiting how this hyperlinks with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made basic contributions in parts as different as: spin geometry, instanton and monopole equations, twistor concept, symplectic geometry of moduli areas, integrables platforms, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, precise Lagrangian geometry and replicate symmetry, concept of grebes, and lots of extra.

Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)

In keeping with a path given to gifted high-school scholars at Ohio collage in 1988, this booklet is largely a sophisticated undergraduate textbook concerning the arithmetic of fractal geometry. It properly bridges the distance among conventional books on topology/analysis and extra really good treatises on fractal geometry.

Higher-Dimensional Algebraic Geometry (Universitext)

The type thought of algebraic types is the focal point of this publication. This very lively sector of study remains to be constructing, yet an awesome volume of data has amassed over the last 20 years. The authors target is to supply an simply available creation to the topic. The booklet begins with preparatory and conventional definitions and effects, then strikes directly to talk about a number of features of the geometry of delicate projective forms with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version application of category of algebraic types by way of proving the cone and contraction theorems.

Moduli of Curves (Graduate Texts in Mathematics)

A advisor to a wealthy and engaging topic: algebraic curves and the way they range in households. delivering a extensive yet compact evaluation of the sphere, this ebook is available to readers with a modest historical past in algebraic geometry. It develops many strategies, together with Hilbert schemes, deformation conception, reliable aid, intersection thought, and geometric invariant conception, with the focal point on examples and purposes bobbing up within the research of moduli of curves.