By Lucian Badescu, V. Masek
This publication provides basics from the idea of algebraic surfaces, together with components reminiscent of rational singularities of surfaces and their relation with Grothendieck duality idea, numerical standards for contractibility of curves on an algebraic floor, and the matter of minimum versions of surfaces. in reality, the category of surfaces is the most scope of this publication and the writer provides the method built through Mumford and Bombieri. Chapters additionally hide the Zariski decomposition of powerful divisors and graded algebras.
Read Online or Download Algebraic Surfaces PDF
Similar algebraic geometry books
This quantity is the 3rd of three in a sequence surveying the speculation of theta capabilities which play a vital function within the fields of advanced research, algebraic geometry, quantity conception and such a lot lately particle physics. according to lectures given through the writer on the Tata Institute of basic learn in Bombay, those volumes represent a scientific exposition of theta services, starting with their old roots as analytic capabilities in a single variable (Volume I), referring to the various appealing methods they are often used to explain moduli areas (Volume II), and culminating in a methodical comparability of theta services in research, algebraic geometry, and illustration thought (Volume III).
GEOMETRY: aircraft and Fancy deals scholars a desirable travel via elements of geometry they're not going to work out within the remainder of their stories whereas, even as, anchoring their tours to the well-known parallel postulate of Euclid. the writer exhibits how choices to Euclid's 5th postulate result in attention-grabbing and assorted styles and symmetries.
Distribution rights for India, Pakistan, Sri Lanka and Bangladesh: Tata Institute on basic learn, Bombay
- Plane Algebraic Curves
- Cubic Metaplectic Forms and Theta Functions
- Functional operators: geometry of orthogonal spaces
- The legacy of Mario Pieri in geometry and arithmetic
- Algebraic Geometry 5
Additional resources for Algebraic Surfaces
2). 1. 4, et sous l'hypoth~se suppldmentaire, sans doute superf6tatoire (conjecture de Bloch sur les surfaces avec H 2(X, Ox) = 0), que l'application d'A1banese A0(X) ~ Al_~bx(k) est un isomorphisme, Saito [$2] d6montre qu'en fait t'accouplement Ao(X) x B r ( X ) ~ Q/Z est non d6g6n6r6 £ gauche. __qc~),Q / l ) . gc°),Q/Z). l Hom(Br(X),Q/i[) l-" Ainsi le noyau de la fl~che verticale de gauche est inclus dans le noyau de la fl~che horizontale sup6rieure, qui par l'hypoth~se suppl@mentaire est un groupe de torsion.
P. ) Kluwer Academic Publishers 1989. [R3] W. - - On g l of curves over global fields, Math. Ann. 288 (1990) 179-193. IS1] S. SAITO. F. P. ) Kluwer Academic Publishers 1989. [$2] S. - - A conjecture of Bloch and Brauer groups of surfaces over p-adic fields, preprint, May 1990. [$3] S. SAITO. --- Torsion zero-cycles and 6taie homology of singular schemes, Duke Math. J. 64 (1991) 71-83. [$4] S. SAITO. - - Cycle map on torsion algebraic cycles of codimension two, Invent. Math. 106 (1991) 443-460. [Sbl] P.
4] S. SAITO. - - Cycle map on torsion algebraic cycles of codimension two, Invent. Math. 106 (1991) 443-460. [Sbl] P. - - Zero-cycles on rational surfaces over number fields, Invent. Math. 91 (1988) 505-524. [Sb2] P. SALBERGER. - - Chow groups of codimension two and l-adic realizations of motivic cohomology, typescript, September 1991. [Sc] C. SoloEd. - - Some examples of torsion in the Griffiths group, Math. Ann. 293 (1992) 651-679. [ S o ] M. - On Milnor K-groups attached to semi-abelian varieties, Journal of K-theory 4 (1990) 105-119.