Sökning: "singular varieties"

Visar resultat 1 - 5 av 8 avhandlingar innehållade orden singular varieties.

  1. 1. Residue currents on singular varieties

    Författare :Richard Lärkäng; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; weakly holomorphic functions; duality theorem; Coleff-Herrera products; Bochner-Martinelli currents; residue currents; singular varieties; analytic spaces; local analytic geometry; residue currents;

    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

  3. 2. Toric varieties and residues

    Författare :Alexey Shchuplev; Mikael Passare; Alekos Vidras; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; toric variety; residue; residue current; integral representation; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    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

  4. 3. An analytic approach to Briancon-Skoda type theorems

    Författare :Jacob Sznajdman; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Briancon-Skoda theorem; Artin-Rees lemma; Singular varieties; Residue calculus; Milnor number; Milnor number;

    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

  5. 4. Agreement with Collective Nouns in English

    Författare :Magnus Levin; Engelska; []
    Nyckelord :HUMANIORA; HUMANITIES; HUMANIORA; HUMANITIES; markedness; Longman Spoken American Corpus; grammatical change; corpus; conventionalization; concord; conceptualization; collective nouns; British National Corpus; British English; BNC; Australian English; American English; agreement; Agreement Hierarchy; pronouns; English language and literature; Engelska språk och litteratur ; Grammar; semantics; semiotics; syntax; Grammatik; semantik; semiotik; agreement; English language; Engelsk språkvetenskap;

    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

  7. 5. A descent principle for compact support extensions of functors

    Författare :Josefien Kuijper; Dan Petersen; Tom Bachmann; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    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