Homolohy Group and Generalized Riemann -Roch Theorem
نویسندگان
چکیده
منابع مشابه
Integral Grothendieck-riemann-roch Theorem
in the Chow ring with rational coefficients CH(S)Q = ⊕nCH (S)Q. Here ch is the Chern character and Td(TX), Td(TS) stand for the Todd power series evaluated at the Chern classes of the tangent bundle of X, respectively S. Since both sides of (1.1) take values in CH(S)Q := CH (S)⊗Q, only information modulo torsion about the Chern classes of f∗[F ] can be obtained from this identity. The goal of o...
متن کاملThe Elliptic Curve Group Law via the Riemann–roch Theorem
And there are similar disjoint decompositions starting with the (x, z)-plane or the (y, z)-plane. When K = R, our intuition is that the real projective line PR is an ordinary line with a point at infinity identifying its opposite directions, and the projective plane is an ordinary plane surrounded by a circle at infinity identifying its opposite directions. The real projective plane differs fro...
متن کاملCohomology and the Riemann-Roch Theorem.
1. Let M be a complex-analytic manifold of (complex) dimension n, and let S be a non-singular analytic subvariety of M of dimension n 1. At each point p e S we can introduce local analytic coordinates zp, .. ., zp on M with center at p such that zp = on S and such thatz, ..., x become local coordinates on S. We denote by Qr = Qr(M) the faisceau of the germs of holomorphic r-forms, and by Qs the...
متن کاملThe Riemann-roch Theorem and Serre Duality
We introduce sheaves and sheaf cohomology and use them to prove the Riemann-Roch theorem and Serre duality. The main proofs follow the treatment in Forster [3].
متن کاملThe Grothendieck-riemann-roch Theorem for Varieties
We give an exposition of the Grothendieck-Riemann-Roch theorem for algebraic varieties. Our proof follows Borel and Serre [3] and Fulton [5] closely, emphasizing geometric considerations and intuition whenever possible.
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: Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics
سال: 1983
ISSN: 1303-5991
DOI: 10.1501/commua1_0000000221