Blowing ups of 3-dimensional terminal singularities
نویسندگان
چکیده
منابع مشابه
2 9 N ov 2 00 1 BLOW - UPS OF THREE - DIMENSIONAL TERMINAL SINGULARITIES : cA CASE
Divisors with minimal discrepancy over cA points are classified. The problem of birational classification of algebraic varieties is highly interconnected with the problem of description of singularities on them. One of the most important class of three-dimensional singularities is terminal singularities, which arise within minimal models programm. Despite the analytical classification of the si...
متن کاملOn Four - Dimensional Terminal Quotient Singularities
We report on an investigation of four-dimensional terminal cyclic quotient singularities which are not Gorenstein. (For simplicity, we focus on quotients by cyclic groups of prime order.) An enumeration, using a computer, of all such singularities for primes < 1600 led us to conjecture a structure theorem for these singularities (which is rather more complicated than the known structure theorem...
متن کاملResolving 3-dimensional toric singularities
This paper surveys, in the first place, some basic facts from the classification theory of normal complex singularities, including details for the low dimensions 2 and 3. Next, it describes how the toric singularities are located within the class of rational singularities, and recalls their main properties. Finally, it focuses, in particular, on a toric version of Reid’s desingularization strat...
متن کاملToric Fano 3-folds with Terminal Singularities
This paper classifies all toric Fano 3-folds with terminal singularities. This is achieved by solving the equivalent combinatoric problem; that of finding, up to the action of GL(3, Z), all convex polytopes in Z which contain the origin as the only non-vertex lattice point. 0. Background and Introduction A toric variety of dimension n over an algebraically closed field k is a normal variety X t...
متن کاملHolomorphic Vector Bundles on Ruled Surfaces and Their Blowing Ups
This work is motivated by the general interest in moduli spaces of based SU(r)instantons on S and on the connected sum of complex projective planes, which can be interpreted as moduli spaces of framed holomorphic vector bundles on blown up ruled surfaces. To be precise, we consider moduli of based SU(r)-instantons over all self-dual four dimensional manifolds, where the twistor bration contains...
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: Publications of the Research Institute for Mathematical Sciences
سال: 1999
ISSN: 0034-5318
DOI: 10.2977/prims/1195143612