SoSe 17: Lokale analytische Geometrie
Alexander Schmitt
Additional information / Pre-requisites
Unbedingt zur Vorbereitung lesen/Please read for preparation: M. Lehn Wie halte ich einen Seminarvortrag?
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The seminar addresses students who have attended the course “Algebra I” and/or a course in complex function theory. It illustrates the interplay between complex analysis and commutative algebra and is the basis for understanding the connections between complex analytic and algebraic geometry.
Talks can be in English or German.
Details can be found here
Contents:
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Holomorphic functions in several variables
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Germs of holomorphic functionss
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Weierstraß preparation theorem
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Rückert’s basis theorem
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Rückert’s Nullstellensatz
Details can be found here
closeSuggested reading
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Th. de Jong, G. Pfister Local analytic geometry - Basic theory and applications. Advances Lectures in Mathematics. Friedr. Vieweg & Sohn, Braunschweig, 2000. xii+382 pp. ISBN: 3-528-03137-9
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JL Taylor Several complex variables with connections to algebraic geometry and Lie groups. Graduate Studies in Mathematics, vol. 46, American Mathematical Society, Providence, RI, 2002. xvi+507 pp. ISBN: 0-8218-3178-X
11 Class schedule
Regular appointments