Blow-ups and orders of vanishing
Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
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.
IdentifiersURN: urn:nbn:se:kth:diva-103022OAI: oai:DiVA.org:kth-103022DiVA: diva2:558015
Master of Science in Engineering - Computer Science and Technology