Sökning: "Singular varieties"
Visar resultat 1 - 5 av 8 avhandlingar innehållade orden Singular varieties.
1. Residue currents on singular varieties
Sammanfattning : This thesis concerns various aspects of the theory of residue currents. Particularly, we study residue currents on singular varieties and duality theorems for such currents. On a singular variety, there are various notions of holomorphic functions. LÄS MER
2. Toric varieties and residues
Sammanfattning : The multidimensional residue theory as well as the theory of integral representations for holomorphic functions is a very powerful tool in complex analysis. The computation of integrals, solving algebraic or differential equations is usually reduced to some residue integral. LÄS MER
3. An analytic approach to Briancon-Skoda type theorems
Sammanfattning : The Briancon-Skoda theorem can be seen as an effective version of the Hilbert Nullstellensatz and gives a connection between size conditions on holomorphic functions and ideal membership. The size conditions are captured algebraically by the notion of integral closure of ideals. LÄS MER
4. Agreement with Collective Nouns in English
Sammanfattning : This thesis concerns agreement with collective nouns in American, British and Australian English. It is based on material from newspaper corpora and spoken corpora. The findings suggest that dialectal, stylistic, diachronic, syntactic and semantic factors interact in the selection of singular and plural agreement. LÄS MER
5. A descent principle for compact support extensions of functors
Sammanfattning : This licentiate thesis consists of one paper about cohomology theories of algebraic varieties. Certain cohomology theories, such as singular cohomology of topological spaces, and sheaf cohomology, have a variant that we call “compactly supported cohomology”. LÄS MER