منابع مشابه
Holomorphic Dynamics near Germs of Singular Curves
Let M be a two dimensional complex manifold, p ∈ M and F a germ of holomorphic foliation of M at p. Let S ⊂ M be a germ of an irreducible, possibly singular, curve at p in M which is a separatrix for F . We prove that if the Camacho-Sad-Suwa index Ind(F , S, p) 6∈ Q ∪ {0} then there exists another separatrix for F at p. A similar result is proved for the existence of parabolic curves for germs ...
متن کاملOn Singular Fibres of Complex Lagrangian Fibrations
We classify singular fibres over general points of the discriminant locus of projective complex Lagrangian fibrations on 4-dimensional holomorphic symplectic manifolds. The singular fibre F is the following either one: F is isomorphic to the product of an elliptic curve and a Kodaira singular fibre up to finite unramified covering or F is a normal crossing variety consisting of several copies o...
متن کاملCobordism of Morse functions on surfaces, the universal complex of singular fibers and their application to map germs
We give a new and simple proof for the computation of the oriented and the unoriented fold cobordism groups of Morse functions on surfaces. We also compute similar cobordism groups of Morse functions based on simple stable maps of 3–manifolds into the plane. Furthermore, we show that certain cohomology classes associated with the universal complexes of singular fibers give complete invariants f...
متن کاملGerms of arcs on singular algebraic varieties and motivic integration
Let k be a ®eld of characteristic zero. We denote by M the Grothendieck ring of algebraic varieties over k (i.e. reduced separated schemes of ®nite type over k). It is the ring generated by symbols S, for S an algebraic variety over k, with the relations S S0 if S is isomorphic to S0; S S n S0 S0 if S0 is closed in S and S S0 SS0. Note that, for S an algebraic variety ...
متن کاملOn Birational Geometry of Singular Del Pezzo Fibrations
In this article, birational geometry of singular 3-fold del Pezzo fibrations of degree two is considered. After reviewing the very limited literature on this topic, I investigate three aspects of research closely related to this problem. First, I consider a known conjecture about birational rigidity that holds for smooth models and is conjectured in general. I provide a counterexample for the s...
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: Bulletin des Sciences Mathématiques
سال: 2019
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2019.05.001