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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Algebraic Geometry and Singularities (English, French, Paperback, Softcover reprint of the original 1st ed. 1996)
Loot Price: R4,634
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Algebraic Geometry and Singularities (English, French, Paperback, Softcover reprint of the original 1st ed. 1996)
Series: Progress in Mathematics, 134
Expected to ship within 10 - 15 working days
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The volume contains both general and research papers. Among the
first ones are papers showing recent and original developments or
methods in subjects such as resolution of singularities, D-module
theory, singularities of maps and geometry of curves. The research
papers deal on topics related to, or close to, those listed_above.
The contributions are organized in three parts according to their
contents. Part I presents a set of papers on resolution of
singularities, a topic of renewed activity. It deals with important
topics of current interest, such as canonical, algorithmic,
combinatorial and graphical procedures (Villamayor, Oka, Marijmin),
as well as special results on desingularization in characteristic p
(Cossart, Moh), and connections between resolution and structure of
the space of arcs through a singularity
(Gonz81ez-Sprinberg-Lejeune-Jalabert). Part II contains a series of
papers on the study~of singularities and its connections with
differential systems and deformation or perturbation theo- ries.
Two expository papers (Maisonobe-Briam;on, :'vlebkhout) describe,
in an algebro-geometric way, the interaction between singularities
and D-module t.he- ory including recent progress on Bernstein
polynomials and Newton polygon techniques. Geometry of foliations
(Henaut, Garcfa-Reguera), polar varieties and stratifications
(Hajto) are also topics treated here. Two other papers (Wall,
Greuel-Pfister) deal with quasihomogeneous singularities in the
contexts of per- turbations and moduli spaces. Globalization of
deformations of singularities (de Jong) and determination of
complex topology from the real one (~10nd) com- plete this series
of papers. Part III consists of papers on algebraic geometry of
curves and surfaces.
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