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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.
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) > 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) > 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 -