Compactifications of the Generalized Jacobian Variety
نویسندگان
چکیده
منابع مشابه
new semigroup compactifications via the enveloping semigroups of associated flows
this thesis deals with the construction of some function algebras whose corresponding semigroup compactification are universal with respect to some properies of their enveloping semigroups. the special properties are of beigan a left zero, a left simple, a group, an inflation of the right zero, and an inflation of the rectangular band.
15 صفحه اولCounting Points on the Jacobian Variety of a
Counting the order of the Jacobian group of a hyperelliptic curve over a nite eld is very important for constructing a hyperelliptic curve cryptosystem (HECC), but known algorithms to compute the order of a Jacobian group over a given large prime eld need very long running times. In this note, we propose a practical polynomial-time algorithm to compute the order of the Jacobian group for a hype...
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Generalized Jacobians are natural candidates to use in discrete logarithm (DL) based cryptography since they include the multiplicative group of nite elds, algebraic tori, elliptic curves as well as all Jacobians of curves. This observation therefore raised the possibility that other families of generalized Jacobians may be of cryptographic interest. This exploration began with the study of t...
متن کاملOn the group algebra decomposition of a Jacobian variety
Given a compact Riemann surface X with an action of a finite group G, the group algebra Q[G] provides an isogenous decomposition of its Jacobian variety JX , known as the group algebra decomposition of JX . We obtain a method to concretely build a decomposition of this kind. Our method allows us to study the geometry of the decomposition. For instance, we build several decompositions in order t...
متن کاملOn real generalized Jacobian varieties
In this note, we study effective Cartier divisors with totally real or totally complex supports on a projective curve over R. We give some numerical conditions for an invertible sheaf to be isomorphic or not to such a divisor. We show that these conditions are strongly related to the singularities of the curve and to topological properties of the real part of the Jacobian variety.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1979
ISSN: 0002-9947
DOI: 10.2307/1998186