Franziska Bittner's research while affiliated with University Hospital Essen and other places
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Publications (2)
We collect some properties of the motivic zeta functions and the motivic nearby fiber defined by Denef and Loeser. In particular, we calculate the relative dual of the motivic nearby fiber. We give a candidate for a nearby cycle morphism on the level of Grothendieck groups of varieties using the motivic nearby fiber.
Using the weak factorization theorem we give a simple presentation for the value group of the universal Euler characteristic with compact support for varieties of characteristic zero and describe the value group of the universal Euler characteristic of pairs. This gives a new proof for the existence of natural Euler characteristics with values in t...
Citations
... For a one dimensional face γ , we denote by n γ the normal vector to γ , exterior to , with integral coordinates and the smallest norm. With these notations we have: 3. The dual cone C γ of any one dimensional face γ of is the cone R >0 n γ . ...
... 4.1.4. Although the classes of elliptic curves in K an 0 coincide, the classes of different elliptic curves in K 0 (Var C ) are distinct, as follows from Franziska Bittner's description of K 0 (Var C ) in [Bit04]. She proved that K 0 (Var C ) is generated by classes of smooth projective varieties modulo relations ...