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Blow-ups and orders of vanishing
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2012 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

We study blow-ups and their relation to orders of vanishing in algebraic geometry. In particular, we study the exceptional divisor and the strict transform of a blow-up. We use the order of vanishing to measure the severity of singularities, and show that if we blow up a closed point on a hypersurface we obtain points of equal order above it.

Place, publisher, year, edition, pages
2012. , 36 p.
URN: urn:nbn:se:kth:diva-103022OAI: diva2:558015
Educational program
Master of Science in Engineering - Computer Science and Technology
Available from: 2012-10-01 Created: 2012-10-01 Last updated: 2012-10-01Bibliographically approved

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