Sökning: "blow-ups"
Visar resultat 1 - 5 av 6 avhandlingar innehållade ordet blow-ups.
1. Blow-ups and normal bundles in derived algebraic geometry and beyond
Sammanfattning : The main part of this thesis, Part II, consists of four papers. A summary and background is provided in Part I.Paper A introduces blow-ups of derived schemes in arbitrary centers, which is a generalization of the quasi-smooth case from [KR19]. LÄS MER
2. Classifying Lattice Polytopes
Sammanfattning : This thesis consists of two papers in toric geometry. In Paper A we provide a complete classification up to isomorphism of all smooth convex lattice 3- polytopes with at most 16 lattice points. There exist in total 103 different polytopes meeting these criteria. LÄS MER
3. Destackification and Motivic Classes of Stacks
Sammanfattning : This thesis consists of three articles treating topics in the theory of algebraic stacks. The first two papers deal with motivic invariants. In the first, we show that the class of the classifying stack BPGLn is the inverse of the class of PGLn in the Grothendieck ring of stacks for n ≤ 3. LÄS MER
4. Regularity results in free boundary problems
Sammanfattning : This thesis consists of three scientific papers, devoted to the regu-larity theory of free boundary problems. We use iteration arguments to derive the optimal regularity in the optimal switching problem, and to analyse the regularity of the free boundary in the biharmonic obstacle problem and in the double obstacle problem. LÄS MER
5. Topics in Combinatorial Algebraic Geometry
Sammanfattning : This thesis consists of six papers in algebraic geometry –all of which have close connections to combinatorics. In Paper A we consider complete smooth toric embeddings X ↪ P^N such that for a fixed positive integer k the t-th osculating space at every point has maximal dimension if and only if t ≤ k. LÄS MER
