Special function identities from superelliptic Kummer varieties
نویسندگان
چکیده
منابع مشابه
Arithmetic on abelian and Kummer varieties
A Kummer variety is obtained as the quotient of an abelian variety by the automorphism (−1) acting on it. Kummer varieties can be seen as a higher dimensional generalisation of the xcoordinate representation of a point of an elliptic curve given by its Weierstrass model. Although there is no group law on the set of points of a Kummer variety, the multiplication of a point by a scalar still make...
متن کاملPartition Identities Arising from Theta Function Identities
The authors show that certain theta function identities of Schröter and Ramanujan imply elegant partition identities.
متن کاملQuantum codes from superelliptic curves
Let X be an algebraic curve of genus g ≥ 2 defined over a field Fq of characteristic p > 0. From X , under certain conditions, we can construct an algebraic geometry code CX . When this code (or its dual) is self-orthogonal under the symplectic product, a quantum algebraic geometry code QX is constructed. In this paper we study the construction of such codes from curves with automorphisms and t...
متن کاملQ-identities and Affinized Projective Varieties Ii. Flag Varieties
In a previous paper we defined the concept of an affinized projective variety and its associated Hilbert series. We computed the Hilbert series for varieties associated to quadratic monomial ideals. In this paper we show how to apply these results to affinized flag varieties. We discuss various examples and conjecture a correspondence between the Hilbert series of an affinized flag variety and ...
متن کاملGram Polynomials and the Kummer Function
Let {φk}k=0, n < m, be a family of polynomials orthogonal with respect to the positive semi-definite bilinear form
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2017
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2017.v21.n5.a6