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English

English [CC]

FREE

Description

This semester, the course aims to introduce techniques for studying intersection theory on moduli spaces. In particular, it covers the geometry of homogeneous varieties, the Deligne-Mumford moduli spaces of stable curves and the Kontsevich moduli spaces of stable maps using intersection theory

Course content

  • Some notes about Grassmannians. Unlimited
  • Some notes about the construction of the Hilbert scheme Unlimited
  • Some notes containing a brief survey Unlimited
  • Some notes describing the Picard group of the moduli space of curves. Unlimited
  • Some notes about the Kodaira dimension of the moduli space of curves Unlimited
  • Some notes on the Kontsevich moduli space of genus zero stable maps. Unlimited

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Instructor

Massachusetts Institute of Technology
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