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Let C ⊆ Pn be an unramified nonspecial real space curve having many real branches and few ovals. We show that C is a rational normal curve if n is even, and that C is an M-curve having no ovals if n is odd.
Huisman, Johannes. "Unramified nonspecial real space curves having many real branches and few ovals.." Revista Matemática Complutense 15.2 (2002): 351-355. <http://eudml.org/doc/44491>.
@article{Huisman2002, abstract = {Let C ⊆ Pn be an unramified nonspecial real space curve having many real branches and few ovals. We show that C is a rational normal curve if n is even, and that C is an M-curve having no ovals if n is odd.}, author = {Huisman, Johannes}, journal = {Revista Matemática Complutense}, keywords = {Curvas algebraicas reales; Curvas espaciales; rational normal curve; -curve; unramified curve; Picard variety}, language = {eng}, number = {2}, pages = {351-355}, title = {Unramified nonspecial real space curves having many real branches and few ovals.}, url = {http://eudml.org/doc/44491}, volume = {15}, year = {2002}, }
TY - JOUR AU - Huisman, Johannes TI - Unramified nonspecial real space curves having many real branches and few ovals. JO - Revista Matemática Complutense PY - 2002 VL - 15 IS - 2 SP - 351 EP - 355 AB - Let C ⊆ Pn be an unramified nonspecial real space curve having many real branches and few ovals. We show that C is a rational normal curve if n is even, and that C is an M-curve having no ovals if n is odd. LA - eng KW - Curvas algebraicas reales; Curvas espaciales; rational normal curve; -curve; unramified curve; Picard variety UR - http://eudml.org/doc/44491 ER -