By Viktor S. Kulikov, P. F. Kurchanov, V. V. Shokurov (auth.), A. N. Parshin, I. R. Shafarevich (eds.)
The first contribution of this EMS quantity as regards to complicated algebraic geometry touches upon a few of the important difficulties during this immense and intensely lively quarter of present learn. whereas it really is a lot too brief to supply entire insurance of this topic, it presents a succinct precis of the parts it covers, whereas offering in-depth insurance of yes extremely important fields - a few examples of the fields handled in larger element are theorems of Torelli variety, K3 surfaces, edition of Hodge buildings and degenerations of algebraic varieties.
the second one half presents a quick and lucid creation to the hot paintings at the interactions among the classical quarter of the geometry of complicated algebraic curves and their Jacobian types, and partial differential equations of mathematical physics. The paper discusses the paintings of Mumford, Novikov, Krichever, and Shiota, and will be a superb spouse to the older classics at the topic via Mumford.
Read or Download Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians PDF
Best Geometry books
This variation additionally gains extra difficulties and instruments emphasizing fractal purposes, in addition to a brand new resolution key to the textual content workouts.
Meyer's Geometry and Its functions, moment variation, combines conventional geometry with present rules to offer a latest method that's grounded in real-world functions. It balances the deductive process with discovery studying, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry.
Leonardo da Pisa, probably greater referred to as Fibonacci (ca. 1170 – ca. 1240), chosen the main invaluable elements of Greco-Arabic geometry for the e-book referred to as De Practica Geometrie. This translation deals a reconstruction of De Practica Geometrie because the writer judges Fibonacci wrote it, thereby correcting inaccuracies present in a number of sleek histories.
The 1st variation of this booklet entitled research on Riemannian Manifolds and a few difficulties of Mathematical Physics was once released by means of Voronezh Univer sity Press in 1989. For its English variation, the e-book has been considerably revised and elevated. particularly, new fabric has been extra to Sections 19 and 20.
Additional info for Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians