Algebraic geometry
Material type:
TextLanguage: English Publication details: Singapore: World Scientific, 2023 Description: ix, 218p. PbkISBN: 9781944659851Subject(s): GEOMETRY, ALGEBRAIC | ALGEBRA | MATHEMATICSDDC classification: 512.7 Summary: This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the deeper theory is given: some topics, such as local algebra and ramification theory, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann–Roch theorem, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves.
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
NBHM Books
|
SMS Library | 512.7 BUM-A (Browse shelf(Opens below)) | Available | N360 |
Contents:
Affine Algebraic Sets and Varieties
The Extension Theorem
Maps of Affine Varieties
Dimensions and Products
Local Algebra
Properties of Affine Varieties
Varieties
Complete Nonsingular Curves
Ramification
Completions
Differentials and Residues
The Riemann–Roch Theorem
Elliptic Curves and Abelian Varieties
The Zeta Function of a Curve
This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the deeper theory is given: some topics, such as local algebra and ramification theory, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann–Roch theorem, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves.
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