Complexe Cotangent Et Deformations Ii
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Author | : Edoardo Sernesi |
Publisher | : Springer Science & Business Media |
Total Pages | : 343 |
Release | : 2007-04-20 |
Genre | : Mathematics |
ISBN | : 3540306153 |
This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.
Author | : L. Illusie |
Publisher | : Springer |
Total Pages | : 304 |
Release | : 1972-08-31 |
Genre | : Mathematics |
ISBN | : 9783540059769 |
Author | : L. Illusie |
Publisher | : Springer |
Total Pages | : 312 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540379622 |
Author | : S. Coen |
Publisher | : Routledge |
Total Pages | : 522 |
Release | : 2017-11-22 |
Genre | : Mathematics |
ISBN | : 1351445278 |
This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.
Author | : Robin Hartshorne |
Publisher | : Springer Science & Business Media |
Total Pages | : 241 |
Release | : 2009-11-12 |
Genre | : Mathematics |
ISBN | : 1441915966 |
The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley.
Author | : Bertrand Toën |
Publisher | : American Mathematical Soc. |
Total Pages | : 242 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0821840991 |
This is the second part of a series of papers called "HAG", devoted to developing the foundations of homotopical algebraic geometry. The authors start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category, such as derivations, étale and smooth morphisms, flat and projective modules, etc. They then use their theory of stacks over model categories to define a general notion of geometric stack over a base symmetric monoidal model category $C$, and prove that this notion satisfies the expected properties.
Author | : V. P. Havin |
Publisher | : Springer |
Total Pages | : 491 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540386262 |
Author | : M.A. Pinsky |
Publisher | : Springer |
Total Pages | : 173 |
Release | : 2006-11-22 |
Genre | : Mathematics |
ISBN | : 3540374817 |
Author | : P. A. Fillmore |
Publisher | : Springer |
Total Pages | : 238 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540378081 |
Author | : R.F. Dickman |
Publisher | : Springer |
Total Pages | : 297 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540379487 |