منابع مشابه
Friedrich Hirzebruch – a handful of reminiscences∗
The idea of dedicating an IMPANGA volume to Friedrich Hirzebruch arose a few years ago. A lot has changed since then. First of all, Friedrich Hirzebruch passed away on May 27, 2012. Following his death many conferences, lectures and articles [2, 4, 3, 22] were dedicated to him. The articles [1, 5, 7, 9] and the video-interview [13] appeared while he was still alive. A book by Winfried Scharlau ...
متن کاملCounting Lines and Conics on a Surface Dedicated to Professor Friedrich Hirzebruch on his 80th birthday
Proposition B. Let X ⊂ P C be a canonically embedded surface of degree K and put σ = c2/K ≥ 1/3 (as usual, K and c2 stand for the canonical divisor and the topological Euler number of X). Let rd = rd(X) be the number of rational curves of degree d on X and let s = s(X) ∈ Z≥0 ∪ {∞} denote the sum ∑ C KC of the degrees of the elliptic curves C ⊂ X. (1) Assume that σ < 1 + 4 N + 6 N2 for some posi...
متن کاملOn rigid Hirzebruch genera
The classical multiplicative (Hirzebruch) genera of manifolds have the wonderful property which is called rigidity. Rigidity of a genus h means that if a compact connected Lie group G acts on a manifold X, then the equivariant genus h(X) is independent on G, i.e. h(X) = h(X). In this paper we are considering the rigidity problem for complex manifolds. In particular, we are proving that a genus ...
متن کاملHirzebruch Classes of Complex Hypersurfaces
The Milnor-Hirzebruch class of a locally complete intersection X in an algebraic manifold M measures the difference between the (Poincaré dual of the) Hirzebruch class of the virtual tangent bundle of X and, respectively, the Brasselet-Schürmann-Yokura (homology) Hirzebruch class of X . In this note, we calculate the Milnor-Hirzebruch class of a globally defined algebraic hypersurface X in term...
متن کاملAnalytic torsion of Hirzebruch surfaces
Using different forms of the arithmetic Riemann-Roch theorem and the computations of Bott-Chern secondary classes, we compute the analytic torsion and the height of Hirzebruch surfaces. 1
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ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2014
ISSN: 0002-9920,1088-9477
DOI: 10.1090/noti1145