Textbooks:
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- Shafarevich, I. R. Basic algebraic geometry, part 1: Varieties in Projective Space; Springer-Verlag (1977)
ISBN 0-387-54812-2
- Fulton, William. Algebraic curves. An introduction to algebraic geometry.
Notes written with the collaboration of Richard Weiss.
Mathematics Lecture Notes Series. W. A. Benjamin, Inc., New York-Amsterdam, 1969. xiii+226 pp.
- Fulton, William. Algebraic curves. An introduction to algebraic geometry.
Notes written with the collaboration of Richard Weiss. Reprint of 1969 original.
Advanced Book Classics. Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1989.
xxii+226 pp. ISBN 0-201-51010-3
- Hartshorne, Robin. Algebraic geometry. Graduate Texts in Mathematics, No. 52. Springer-Verlag,
New York-Heidelberg, 1977. xvi+496 pp. ISBN: 0-387-90244-9
- Reid, Miles. Undergraduate algebraic geometry.
London Mathematical Society Student Texts, 12.
Cambridge University Press, Cambridge, 1988. viii+129 pp
ISBN: 0-521-35559-1; 0-521-35662-8
- Silverman, Joseph H.The arithmetic of elliptic curves.
Graduate Texts in Mathematics, 106. Springer-Verlag, New York, 1986. xii+400 pp. ISBN: 0-387-96203-4
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| Exam: |
as a PDF. Due on Thursday, December 11, 11:00am. Enjoy!
- Question 2a): The n in front of the F should be the degree of F. So, if m is the degree of F then the equation should read:
x1 (dF/dx1) + ... + xn (dF/dxn) = m F
- Question 4b): This question is not true as stated. Instead, show that there are constants a,b such that f=ag+b. This means that the maps
(f(P):1) and (g(P):1) differ by a linear change, which can be absorbed in sigma.
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