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by E. Freitag
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Science & Mathematics
  • Author:
    E. Freitag
  • ISBN:
    0387547045
  • ISBN13:
    978-0387547046
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  • Publisher:
    Springer Verlag (December 1, 1991)
  • Subcategory:
    Science & Mathematics
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Lecture Notes in Mathematics. Singular modular forms are represented as linear combinations of theta series. Bibliographic Information. Singular Modular Forms and Theta Relations.

Lecture Notes in Mathematics. Authors: Freitag, Eberhard. The reader is assumed toknow only the basic theory of Siegel modular forms. Show all. Table of contents (7 chapters). Lecture Notes in Mathematics.

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In his Tata Lecture Notes, Igusa conjectured the validity of a strong uniformity in the decay of complete exponential sums modulo powers of a prime number and determined by a homogeneous polynomial. This was proved for non-degenerate forms by Denef–Sperber and then by Cluckers for weighted homogeneous non-degenerate forms.

Antwerp, Antwerp, 1972 (Lecture Notes in Mathematics 349 ) (eds Deligne, P. and Kuyk, ., Springer (Berlin, 1973) . 5. Diamond, F. and Im, . Modular forms and modular curves., Springer (Berlin, 1973), 143–316. In Seminar on Fermat’s Last Theorem (Toronto, ON, 1993–1994) (CMS Conference Proceedings 17 ), American Mathematical Society (1995), 39–133. 6. and Shurman, . A First Course in Modular Forms (Graduate Texts in Mathematics 228 ), Springer (2005), 19–24. 7. Edixhoven, . The weight in Serre’s conjectures on modular forms.

The geometry shines through it all: as in differentials, and etale maps, and how unique factorization relates to non-singularity.

com ✓ FREE DELIVERY possible on eligible purchases. The geometry shines through it all: as in differentials, and etale maps, and how unique factorization relates to non-singularity. There is a bravura discussion of Zariski's Main Theorem (the algebraic property of being "normal" implies that a variety has only one branch at each point) comparing forms of it from older algebraic geometry, topology, power series, and schemes. Mumford cites proofs of these but does not give them. In fact, this theorem was one of the.

Plus de 45 Sciences Lecture Notes in Mathematics en stock neuf ou d'occasion . Classical interactions include invariant theory, theta functions and enumerative geometry.

The main hero of the course is the Jacobi theta-series. Using it we will construct a lot of concrete examples of Jacobi forms in one or many abelian variables, in particular, Jacobi forms for root systems.