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Algebraic curves over finite fields

Grant number: 17/04681-3
Support Opportunities:Regular Research Grants
Duration: June 01, 2017 - May 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Herivelto Martins Borges Filho
Grantee:Herivelto Martins Borges Filho
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This proposal establishes my research plans for the next two years or so. The core of the investigation are aspects the theory of curves over FiniteFields that are directly related to the number and nature of rational pointson such curves. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Articles published in other media outlets (0 total):
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Scientific publications (7)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
ABDON, MIRIAM; BORGES, HERIVELTO; QUOOS, LUCIANE. Weierstrass points on Kummer extensions. ADVANCES IN GEOMETRY, v. 19, n. 3, p. 323-333, . (17/04681-3)
BORGES, HERIVELTO; COUTINHO, MARIANA. On some generalized Fermat curves and chords of an affinely regular polygon inscribed in a hyperbola. Journal of Pure and Applied Algebra, v. 224, n. 1, p. 239-249, . (17/04681-3)
BORGES, HERIVELTO; COOK, GARY; COUTINHO, MARIANA. Plane sections of Fermat surfaces over finite fields. FINITE FIELDS AND THEIR APPLICATIONS, v. 52, p. 156-173, . (17/04681-3)
BORGES, HERIVELTO; FUKASAWA, SATORU. Galois points for double-Frobenius nonclassical curves. FINITE FIELDS AND THEIR APPLICATIONS, v. 61, . (17/04681-3)
BORGES, HERIVELTO; CONCEICAO, RICARDO. A new family of Castle and Frobenius nonclassical curves. Journal of Pure and Applied Algebra, v. 222, n. 4, p. 994-1002, . (17/04681-3)
BORGES FILHO, HERIVELTO MARTINS; CASTELLANOS, ALONSO SEPULVEDA; TIZZIOTTI, GUILHERME CHAUD. Subcovers and Codes on a Class of Trace-Defining Curves. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 65, n. 4, p. 2101-2106, . (17/04681-3)
BORGES, HERIVELTO; COUTINHO, MARIANA. ON THE ZETA FUNCTION AND THE AUTOMORPHISM GROUP OF THE GENERALIZED SUZUKI CURVE. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 374, n. 3, p. 1899-1917, . (18/23839-0, 17/04681-3)

Please report errors in scientific publications list by writing to: cdi@fapesp.br.