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Moduli Theory and Classification Theory of Algebraic Varieties

by H. Popp
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Current price ₹2,946.00
Original price ₹3,536.00
Original price ₹3,536.00
Original price ₹3,536.00
(-17%)
₹2,946.00
Current price ₹2,946.00

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Book cover type: Paperback
  • ISBN13: 9783540085225
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 189
  • Original Price: GBP 22.99
  • Language: English
  • Edition: 1977
  • Item Weight: 282 grams
  • BISAC Subject(s): Geometry / Algebraic

Moduli theory of algebraic varieties and classification theory of compact complex spaces.- Moduli spaces for polarized algebraic varieties.- Group quotients in the category of analytic spaces and the category of algebraic spaces.- Applications of the quotient theorems to moduli of algebraic varieties.- Quotients for affine schemes by reductive algebraic groups.- Quotients in the category of schemes.- Mumford's construction of the moduli variety for curves and polarized abelian varieties. Other applications of Mumford's quotient theory.- Other methods of treating moduli problems. Artin's method of algebraic stacks. Griffiths's method of period maps.- Compactification of moduli spaces.- Fine moduli spaces. The universal families for stable curves with level n-structure.- Applications of moduli theory to fibre spaces and the additivity formula for the Kodaira dimension of fibre spaces. Open problems.

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