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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Chevalley’s Theorem on constructible images made constructive

## Chevalley’s Theorem on constructible images made constructiveAdd to your list(s) Download to your calendar using vCal - Mohamed Barakat (Universität Siegen)
- Thursday 30 January 2020, 09:10-10:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. GRAW02 - Computational and algorithmic methods Chevalley proved that the image of an algebraic morphism between algebraic varieties is a constructible set. Examples are orbits of algebraic group actions. A constructible set in a topological space is a finite union of locally closed sets and a locally closed set is the difference of two closed subsets. Simple examples show that even if the source and target of the morphism are affine varieties the image may neither be affine nor quasi-affine. In this talk, I will present a Gröbner-basis-based algorithm that computes the constructible image of a morphism of affine spaces, along with some applications. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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