Người báo cáo: Nguyễn Thị Thảo (ĐHSP Hà Nội)
Thời gian: 9h30, thứ 5 ngày 15 tháng 10 năm 2015
Địa điểm: Phòng 6, Nhà A14, Viện Toán học, 18 Hoàng Quốc Việt Cầu Giấy, Hà Nội
Tóm tắt: Let f(x,y) be a polynomial. We show that if f is degenerate in some sense then the volume of the sublevel sets of f is finite and computed explicitly in terms of the Newton polygon of f at infinity. Also, for a more generalized degenerate condition of f, the cardinal of lattice points in the sublevel sets of f can be controlled by the cardinal of lattice points in these sets which is contained in a some bounded set K_f; and the asymptotic formula of this quantity is determined explicitly in terms of the complete Newton polygon of f at infinity. |
