Topology of real algebraic T-surfaces.

Ilia Itenberg

Revista Matemática de la Universidad Complutense de Madrid (1997)

  • Volume: 10, Issue: Supl., page 131-152
  • ISSN: 1139-1138

Abstract

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The paper is devoted to algebraic surfaces which can be obtained using a simple combinatorial procedure called the T-construction. The class of T-surfaces is sufficiently rich: for example, we construct T-surfaces of an arbitrary degree in RP³ which are M-surfaces. We also present a construction of T-surfaces in RP³ with dim H1 (RX; Z/2) > h1, 1(CX), where RX and CX are the real and the complex point sets of the surface.

How to cite

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Itenberg, Ilia. "Topology of real algebraic T-surfaces.." Revista Matemática de la Universidad Complutense de Madrid 10.Supl. (1997): 131-152. <http://eudml.org/doc/44256>.

@article{Itenberg1997,
abstract = {The paper is devoted to algebraic surfaces which can be obtained using a simple combinatorial procedure called the T-construction. The class of T-surfaces is sufficiently rich: for example, we construct T-surfaces of an arbitrary degree in RP³ which are M-surfaces. We also present a construction of T-surfaces in RP³ with dim H1 (RX; Z/2) &gt; h1, 1(CX), where RX and CX are the real and the complex point sets of the surface.},
author = {Itenberg, Ilia},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Geometría algebraica; Topología algebraica; Superficies; Análisis combinatorio; Planos; real algebraic -surfaces; Viro's conjecture; first homology group},
language = {eng},
number = {Supl.},
pages = {131-152},
title = {Topology of real algebraic T-surfaces.},
url = {http://eudml.org/doc/44256},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Itenberg, Ilia
TI - Topology of real algebraic T-surfaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - Supl.
SP - 131
EP - 152
AB - The paper is devoted to algebraic surfaces which can be obtained using a simple combinatorial procedure called the T-construction. The class of T-surfaces is sufficiently rich: for example, we construct T-surfaces of an arbitrary degree in RP³ which are M-surfaces. We also present a construction of T-surfaces in RP³ with dim H1 (RX; Z/2) &gt; h1, 1(CX), where RX and CX are the real and the complex point sets of the surface.
LA - eng
KW - Geometría algebraica; Topología algebraica; Superficies; Análisis combinatorio; Planos; real algebraic -surfaces; Viro's conjecture; first homology group
UR - http://eudml.org/doc/44256
ER -

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