Qualifying Examination
ثبت نشده
چکیده
Solution: By the adjunction formula, the canonical divisor class is KC = OC(d− 3), that is, plane curves of degree d− 3 cut out canonical divisors on C. It follows that if d ≥ 4 then any two points p, q ∈ C impose independent conditions on the canonical series |KC |; that is, h(KC(−p − q)) = g − 2, so by Riemann-Roch h(OC(p+ q)) = 1, i.e., C is not hyperelliptic. Similarly, if d ≥ 5 then any three points p, q, r ∈ C impose independent conditions on the canonical series |KC |; by Riemann-Roch it follows that h(OC(p+ q+ r)) = 1 so C is not trigonal.
منابع مشابه
Reading List for the Qualifying Examination in Artificial Intelligence
This report contains the reading list for the Qualifying Examination in Artificial Intelligence. Areas covered include search, representation, reasoning, planning and problem solving, learning, expert systems, vision, robotics, natural language, perspectives and AI programming. An extensive bibliography is also provided.
متن کاملAn evaluation of clinical mock boards and their influence on the success rate on qualifying boards.
An important responsibility of each dental school to its graduating dental students is exposure to and evaluation on a mock board that simulates one or more of the examinations given by its respective regional testing agencies. An introduction to the procedures and environment that will be encountered on a qualifying examination will hopefully increase a student's chance for success on such a t...
متن کامل