Zagier's conjecture on L E, 2. Inventiones mathematicae , no.

## Integration of One-forms on P-adic Analytic Spaces. (AM-162)

Abelian surfaces of GL2-type as Jacobians of curves. Harrison, Michael C. An extension of Kedlaya's algorithm for hyperelliptic curves. Journal of Symbolic Computation Hartshorne, Robin. Algebraic geometry. Harvey, David. Counting points on hyperelliptic curves in average polynomial time. Annals of Mathematics , no. Kedlaya's Algorithm in Larger Characteristic. Harvey, David, and Andrew V.

- The Philosophy of Gandhi: A Study of his Basic Ideas.
- Seeing Underground: Maps, Models, and Mining Engineering in America.
- P-Adic Analysis!

Computing Hasse—Witt matrices of hyperelliptic curves in average polynomial time. A : Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time II. Hasegawa, Yuji, and Mahoro Shimura. Trigonal Modular Curves.

- The Me Nobody Knew (Revised and Expanded Edition).
- Fighting Cancer.
- Various Number Theorists' Home Pages/Departmental listings.
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Acta Arithmetica 88, no. Hida, Haruzo. Geometric modular forms and elliptic curves. World Scientific, Hulsbergen, Wilfred WJ. Conjectures in arithmetic algebraic geometry.

## BUNTES References

Braunschweig: Vieweg, Jannsen, Uwe. Mathematische Annalen Katz, Nicholas. Serre-Tate local moduli. Katz, Eric, and David Zureick-Brown. Compositio Mathematica , no. Kedlaya, Kiran S. Counting points on hyperelliptic curves using Monsky-Washnitzer cohomology , J. Ramanujan Math. Lang, Serge.

Algebraic number theory. Lee, John M. Smooth manifolds. Springer, New York, NY, Faster algorithms for rectangular matrix multiplication. IEEE, Qing Liu. Algebraic geometry and arithmetic curves. Oxford University Press, The user language , J. Symbolic Comput. Matsumura, Hideyuki. Commutative ring theory. Cambridge university press, Commutative algebra.

New York: WA Benjamin, Computation of p-adic heights and log convergence. Math : On p-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Inventiones mathematicae 84, no. Milne, James S. Etale cohomology PMS Princeton university press, Minzlaff, Moritz. Computing zeta functions of superelliptic curves in larger characteristic. Mathematics in Computer Science 3.

Mumford, David. Abelian varieties. Springer, Polishchuk, Alexander. Abelian varieties, theta functions and the Fourier transform. Cambridge University Press, Rolshausen, Klaus, and Norbert Schappacher. On the second K-group of an elliptic curve. Serre, Jean-Pierre. A course in arithmetic. Galois cohomology. Linear representations of finite groups. Local algebra. Lectures on the Mordell-Weil theorem. Shafarevich, Igor R. Linear algebra and geometry. Silverman, Joseph H. The arithmetic of elliptic curves. Advanced topics in the arithmetic of elliptic curves.

Stoll, Michael. Independence of Rational Points on Twists of a given Curve. Journal of the European Mathematical Society 21, no. Sutherland, Andrew. Isogeny volcanoes. The Open Book Series 1, no. Towse, Christopher. Transactions of the American Mathematical Society , no.

### Strange Curves, Counting Rabbits, & Other Mathematical Explorations

Tuitman, Jan. Mathematics of Computation Finite Fields and Their Applications 45 : Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up.

What is the machinery used? I mean, the integration of complex valued functions of complex variables, or more precisely holomorphic functions, is much a much more interesting topic than measure theory. I have also seen mentioned that Grothendieck's cohomology theories like etale cohomology, crystalline cohomology etc. What could possibly be the connection? The reason for wanting such theories are various. One reason is indicated in George S. One would like to have more analytic ways of thinking about them, and this is one goal of Robert Coleman's theory.

In a recent volume of Asterisque, namely vol. For instance the isomorphism between de Rham cohomology and Betti cohomology involves integrating differential forms over homology classes.

Actually the situation is a bit more intricate; the de Rham cohomology decomposes into various other spaces via the Hodge decomposition.