Książka - szczegóły

CONTENTS
Introduction..............................................................................................5
1. General torus embeddings...................................................................7
  1.1. Sets of subrings..............................................................................7
  1.2. Complex of cones and torus embeddings. Basic properties and notation...............8
  1.3. Jets of 1-p.s. at 0...........................................................................12
  1.4. An application of torus embeddings. Desigularization of plane cusps by blowings up of the plane...............14
  1.5. Some $G_m$-actions on torus embedding...................................18
2. Complex torus embeddings. Real and lion-negative parts..................20
  2.1. Introduction...................................................................................20
  2.2. The real non-negative part of the variety $X_Σ$...........................21
  2.3. Bijection of $X_σ^{≥0}$ onto σ̆......................................................29
  2.4. Real part of $X_Σ$. Reflexions......................................................35
3. Projective torus embeddings..............................................................37
  3.1. Polyhedra......................................................................................37
  3.2. Morse function...............................................................................41
  3.3. Filtrations, cycles of orbits and projectivity.....................................46
4. Homology............................................................................................50
  4.1. Poincaré polynomial......................................................................50
  4.2. Chow ring and l-adic cohomology..................................................51
  4.3. Cohomology ring of $X_Σ(R)$ with coefficients in Z/2Z..................52
  4.4. Orientation.....................................................................................55
  4.5. The 2-dimensional case, homology with integral coefficients.........56
References.............................................................................................62
Index.......................................................................................................64