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An Introduction to Algebraic Geometry A Computational Approach /

Algebraic Geometry is a huge area of mathematics which went through several phases: Hilbert's fundamental paper from 1890, sheaves and cohomology introduced by Serre in the 1950s, Grothendieck's theory of schemes in the 1960s and so on. This book covers the basic material known before Serr...

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Váldodahkki: Schreyer, Frank-Olaf (Dahkki)
Searvvušdahkki: SpringerLink (Online service)
Materiálatiipa: Elektrovnnalaš E-girji
Giella:eaŋgalasgiella
Almmustuhtton: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Preanttus:1st ed. 2025.
Ráidu:Universitext,
Fáttát:
Algebraic geometry.
Algebraic Geometry.
Liŋkkat:https://doi.org/10.1007/978-3-031-84834-6
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Sisdoallologahallan:
  • 1. Hilbert’s Nullstellensatz
  • 2. The algebra-geometry dictionary
  • 3. Noetherian rings and primary decomposition
  • 4. Localization
  • 5. Rational functions and dimension
  • 6. Integral ring extensions and Krull dimension
  • 7. Constructive ideal and module theory
  • 8. Projective algebraic geometry
  • 9. Bézout’s theorem
  • 10. Local rings and power series
  • 11. Products and morphisms of projective varieties
  • 12. Resolution of curve singularities
  • 13. Families of varieties
  • 14. Bertini’s theorem and applications
  • 15. The geometric genus of a plane curve
  • 16. Riemann-Roch
  • A. A glimpse of sheaves and cohomology
  • B. Code for Macaulay2 computation
  • References
  • Glossary
  • Index.

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