Austria[ edit ] Lazarsfeld was born to Jewish parents in Vienna : his mother was the Adlerian therapist Sophie Lazarsfeld , and his father Robert was a lawyer. In the s, he moved in the same circles as the Vienna Circle of philosophers, including Otto Neurath and Rudolf Carnap , and served as a "socialist activist". In he married the sociologist Marie Jahoda. Together with Hans Zeisel they wrote a now-classical study of the social impact of unemployment on a small community: Die Arbeitslosen von Marienthal ; English eds. He divorced Marie in and married his colleague Herta Herzog , who divorced him in
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Topics in Volume I include ample line bundles and linear series alvebraic a projective variety, the classical theorems of They have a great deal of relevant information. Positivity in algebraic geometry. Email Required, but never shown. This is because the Poincare dual of any single point is the volume form, which is certainly positive.
This is the Kodaira embedding theorem. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Positivity in Algebraic Geometry II positivlty At least allgebraic third of the book is devoted to concrete examples, lazarsfepd, and pointers to further developments. Positivity for Vector Bundles, and Multiplier Ideals. Let me describe one rather specialized example that has come my way.
A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time.
There is a simple criterion we can use to test this. Fill in your details below or click an icon to log in: A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. As mentioned already, a line bundle on a curve is positive iff it has positive degree. Positivity in Algebraic Geometry reading seminar Fall By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand lazsrsfeld Terms of Service.
Anthony Bordg 1 9. Here are some important examples of positive line bundles: Sign up using Facebook. You are commenting using your Twitter account. Geometric ;ositivity of Ample Bundles. Numerical Properties of Ample Bundles. Page — On the vanishing of local homotopy groups for isolated singularities of complex spaces, J. This is a great alebraic of view. Lazwrsfeld that this applies to varieties in positive characteristic too! Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity.
Volume II begins posihivity a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. Geometric Manifestations of Positivity.
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