scholarly journals Algebraic Boundaries Among Typical Ranks for Real Binary Forms of Arbitrary Degree

Author(s):  
Maria Chiara Brambilla ◽  
Giovanni Staglianò

Abstract We show that the algebraic boundaries of the regions of real binary forms with fixed typical rank are always unions of dual varieties to suitable coincident root loci.

2012 ◽  
Vol 60 (6) ◽  
pp. 657-667 ◽  
Author(s):  
Pierre Comon ◽  
Giorgio Ottaviani
Keyword(s):  

2018 ◽  
Vol 2018 (745) ◽  
pp. 83-104 ◽  
Author(s):  
Jarod Alper ◽  
Alexander Isaev

Abstract In the recent articles [5, 1], it was conjectured that all rational {\mathrm{GL}_{n}} -invariant functions of forms of degree {d\geq 3} on {\mathbb{C}^{n}} can be extracted, in a canonical way, from those of forms of degree {n(d-2)} by means of assigning to every form with nonvanishing discriminant the so-called associated form. The conjecture was confirmed in [5] for binary forms of degree {d\leq 6} as well as for ternary cubics. Furthermore, a weaker version of it was settled in [1] for arbitrary n and d. In the present paper, we focus on the case {n=2} and establish the conjecture, in a rather explicit way, for binary forms of an arbitrary degree.


Bach ◽  
2018 ◽  
Vol 49 (2) ◽  
pp. 281
Author(s):  
Brody
Keyword(s):  

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Hassan Hakimi ◽  
Masahito Asada ◽  
Takahiro Ishizaki ◽  
Shinichiro Kawazu

AbstractBabesia parasite invades exclusively red blood cell (RBC) in mammalian host and induces alterations to host cell for survival. Despite the importance of Babesia in livestock industry and emerging cases in humans, their basic biology is hampered by lack of suitable biological tools. In this study, we aimed to develop a synchronization method for Babesia bovis which causes the most pathogenic form of bovine babesiosis. Initially, we used compound 2 (C2), a specific inhibitor of cyclic GMP-dependent protein kinase (PKG), and a derivative of C2, ML10. While both inhibitors were able to prevent B. bovis egress from RBC and increased percentage of binary forms, removal of inhibitors from culture did not result in a synchronized egress of parasites. Because using PKG inhibitors alone was not efficient to induce a synchronized culture, we isolated viable and invasive B. bovis merozoites and showed dynamics of merozoite invasion and development in RBCs. Using isolated merozoites we showed that BbVEAP, VESA1-export associated protein, is essential for parasite development in the RBC while has no significant role in invasion. Given the importance of invasion for the establishment of infection, this study paves the way for finding novel antigens to be used in control strategies against bovine babesiosis.


2009 ◽  
Vol 26 (1) ◽  
pp. 75-81 ◽  
Author(s):  
S. Schaefer ◽  
R. Goldman
Keyword(s):  

1967 ◽  
Vol 6 (2) ◽  
pp. 157-184 ◽  
Author(s):  
Warren May
Keyword(s):  

Author(s):  
PALOMA BENGOECHEA

Abstract We refine a previous construction by Akhtari and Bhargava so that, for every positive integer m, we obtain a positive proportion of Thue equations F(x, y) = h that fail the integral Hasse principle simultaneously for every positive integer h less than m. The binary forms F have fixed degree ≥ 3 and are ordered by the absolute value of the maximum of the coefficients.


Psychometrika ◽  
2000 ◽  
Vol 65 (4) ◽  
pp. 525-532 ◽  
Author(s):  
Jos M. F. ten Berge
Keyword(s):  

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