Torus embeddings, polyhedra, k*-actions and homology

Jerzy Jurkiewicz. Torus embeddings, polyhedra, k*-actions and homology. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1985. <http://eudml.org/doc/268485>.

@book{JerzyJurkiewicz1985,
abstract = {CONTENTSIntroduction..............................................................................................51. 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...................................182. 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......................................................353. Projective torus embeddings..............................................................37  3.1. Polyhedra......................................................................................37  3.2. Morse function...............................................................................41  3.3. Filtrations, cycles of orbits and projectivity.....................................464. 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.........56References.............................................................................................62Index.......................................................................................................64},
author = {Jerzy Jurkiewicz},
keywords = {Chow ring; Morse function; classes of cycles on a torus embedding},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Torus embeddings, polyhedra, k*-actions and homology},
url = {http://eudml.org/doc/268485},
year = {1985},
}

TY - BOOK
AU - Jerzy Jurkiewicz
TI - Torus embeddings, polyhedra, k*-actions and homology
PY - 1985
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction..............................................................................................51. 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...................................182. 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......................................................353. Projective torus embeddings..............................................................37  3.1. Polyhedra......................................................................................37  3.2. Morse function...............................................................................41  3.3. Filtrations, cycles of orbits and projectivity.....................................464. 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.........56References.............................................................................................62Index.......................................................................................................64
LA - eng
KW - Chow ring; Morse function; classes of cycles on a torus embedding
UR - http://eudml.org/doc/268485
ER -