By Hiroaki Hikikata,Hiroaki Hijikata,Heisuke Hironaka,Masaki Maruyama
Comprised of 14 chapters, this quantity starts off by means of describing a simple fibration as a Weierstrass version, with emphasis on elliptic threefolds with a bit. The reader is then brought to canonical bundles of analytic surfaces of sophistication VII0 with curves; Lifting challenge on ideal-adically entire noetherian jewelry; and the canonical ring of a curve. next chapters care for algebraic surfaces for normal structures of weights; basic modifications of algebraic vector bundles; the irreducibility of the 1st differential equation of Painlevé; and F-pure basic earrings of measurement . The publication concludes with an review of the lifestyles of a few curves.
This monograph should be an invaluable source for practitioners and researchers in algebra and geometry.
Read or Download Algebraic Geometry and Commutative Algebra: In Honor of Masayoshi Nagata: 2 PDF
Similar geometry & topology books
This paintings issues the diffeomorphism teams of 3-manifolds, specifically of elliptic 3-manifolds. those are the closed 3-manifolds that admit a Riemannian metric of continuous confident curvature, referred to now to be precisely the closed 3-manifolds that experience a finite basic staff. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry staff of M to its diffeomorphism workforce is a homotopy equivalence.
The homotopy kind of a closed easily hooked up 4-manifold depends on the intersection shape. The homotopy sessions of maps among such manifolds, although, don't coincide with the algebraic morphisms among intersection kinds. for that reason the matter arises of computing the homotopy periods of maps algebraically and selecting the legislation of composition for such maps.
Delivering an outline of the state-of-the-art on rationality questions in algebraic geometry, this quantity supplies an replace at the latest developments. It bargains a entire advent to this interesting subject, and should definitely turn into a vital reference for anyone operating within the box.
Provides the lawsuits of the lately held convention on the college of Plymouth. Papers describe fresh paintings by way of major researchers in twistor conception and canopy quite a lot of topics, together with conformal invariants, vital transforms, Einstein equations, anti-self-dual Riemannian 4-manifolds, deformation concept, four-dimensional conformal buildings, and extra.
Extra resources for Algebraic Geometry and Commutative Algebra: In Honor of Masayoshi Nagata: 2
Algebraic Geometry and Commutative Algebra: In Honor of Masayoshi Nagata: 2 by Hiroaki Hikikata,Hiroaki Hijikata,Heisuke Hironaka,Masaki Maruyama