On the algebraic theory of sheets of an algebraic variety
نویسندگان
چکیده
منابع مشابه
ON ALGEBRAIC AND COALGEBRAIC CATEGORIES OF VARIETY-BASED TOPOLOGICAL SYSTEMS
Motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by S. Vickers, providing an algebraic and a coalgebraic category of the new structures. As a result, the nature of the category TopSys of S. Vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalu...
متن کاملon algebraic and coalgebraic categories of variety-based topological systems
motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by s. vickers, providing an algebraic and a coalgebraic category of the new structures. as a result, the nature of the category topsys of s. vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalu...
متن کاملThe Index of an Algebraic Variety
Let K be the field of fractions of a Henselian discrete valuation ring OK . Let XK/K be a smooth proper geometrically connected scheme admitting a regular model X/OK . We show that the index δ(XK/K) of XK/K can be explicitly computed using data pertaining only to the special fiber Xk/k of the model X. We give two proofs of this theorem, using two moving lemmas. One moving lemma pertains to hori...
متن کاملAlgebraic Cycles on an Abelian Variety
It is shown that to every Q-linear cycle α modulo numerical equivalence on an abelian variety A there is canonically associated a Q-linear cycle α modulo rational equivalence on A lying above α, characterised by a condition on the spaces of cycles generated by α on products of A with itself. The assignment α 7→ α respects the algebraic operations and pullback and push forward along homomorphism...
متن کاملOn the Algebraic Structure of Transposition Hypergroups with Idempotent Identity
This paper studies the algebraic structure of transposition hypergroups with idempotent identity. Their subhypergroups and their properties are examined. Right, left and double cosets are defined through symmetric subhypergroups and their properties are studied. Further- more, this paper examines the homomorphisms, the behaviour of attrac- tive and non-attractive elements through them, as well ...
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: Kyoto Journal of Mathematics
سال: 1957
ISSN: 2156-2261
DOI: 10.1215/kjm/1250777053