On the Riemann-Roch theorem on open Riemann surfaces
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 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 کاملOn the Adams-Riemann-Roch theorem in positive characteristic
We give a new proof of the Adams-Riemann-Roch theorem for a smooth projective morphism in the situation where the base scheme is of characteristic p > 0 and is regular and quasi-projective over a noetherian affine scheme. We also answer a question of B. Köck.
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 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 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: 1971
ISSN: 2156-2261
DOI: 10.1215/kjm/1250523617