Motives for Research
نویسندگان
چکیده
منابع مشابه
Motives for modular forms
In [DeFM], Deligne constructs l-adic parabolic cohomology groups attached to holomorphic cusp forms of weight ≥ 2 on congruence subgroups of SL2(Z). These groups occur in the l-adic cohomology of certain smooth projective varieties over Q—the Kuga-Sato varieties— which are suitably compactified families of products of elliptic curves. In view of Grothendieck’s conjectural theory of motives it i...
متن کاملDuality Theorem for Motives
A general duality theorem for the category of motives is established, with a short, simple, and self-contained proof. Introduction Recently, due to the active study of cohomological invariants in algebraic geometry, “transplantation” of classical topological constructions to the algebraic-geometrical “soil” seems to be rather important. In particular, it is very interesting to study topological...
متن کاملBiextensions of 1-motives by 1-motives
Let S be a scheme. In this paper, we define the notion of biextensions of 1-motives by 1-motives. Moreover, if M(S) denotes the Tannakian category generated by 1-motives over S (in a geometrical sense), we define geometrically the morphisms of M(S) from the tensor product of two 1-motives M1⊗M2 to another 1-motive M3, to be the isomorphism classes of biextensions of (M1, M2) by M3: HomM(S)(M1 ⊗...
متن کاملBirational motives, I: pure birational motives
In the preprint [19], we toyed with birational ideas in three areas of algebraic geometry: plain varieties, pure motives in the sense of Grothendieck, and triangulated motives in the sense of Voevodsky. These three themes are finally treated separately in revised versions. The first one was the object of [21]; the second one is the object of the present paper; we hope to complete the third one ...
متن کاملFour Motives for Community Involvement
A conceptual analysis is offered that differentiates four types of motivation for community involvement: egoism, altruism, collectivism, and principlism. Differentiation is based on identification of a unique ultimate goal for each motive. For egoism, the ultimate goal is to increase one’s own welfare; for altruism, it is to increase the welfare of another individual or individuals; for collect...
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: Spontaneous Generations: A Journal for the History and Philosophy of Science
سال: 2018
ISSN: 1913-0465
DOI: 10.4245/sponge.v9i1.27048