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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.
Identifiers
URN: urn:nbn:se:kth:diva-103022OAI: oai:DiVA.org:kth-103022DiVA: 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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f01e7a764524c961784fd8f32ca280dccbb905e2a7131b8a8566c29cd10e6e6987e467d5a2dad0de90bec6276705ce8fa6abb98d9d775718f33dcb71efa9c934
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